Articles de revues : « Scattering nonlocality »

1

Cheon, Taksu. « Nonlocality in medium energy proton scattering ». Physical Review C 35, n^o 6 (1 juin 1987) : 2225–30. http://dx.doi.org/10.1103/physrevc.35.2225.

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Kouw, L. R. « Consistent treatment of nonlocality in inelastic scattering ». Physics Letters B 183, n^o 2 (janvier 1987) : 119–21. http://dx.doi.org/10.1016/0370-2693(87)90422-9.

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3

Upadhyay, N. J., A. Bhagwat et B. K. Jain. « A new treatment of nonlocality in scattering process ». Journal of Physics G : Nuclear and Particle Physics 45, n^o 1 (13 décembre 2017) : 015106. http://dx.doi.org/10.1088/1361-6471/aa9877.

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4

TAKEUCHI, SACHIKO, et KIYOTAKA SHIMIZU. « NONLOCALITY IN THE QUARK-MODEL INDUCED TWO-BARYON POTENTIAL ». Modern Physics Letters A 18, n^o 02n06 (28 février 2003) : 147–50. http://dx.doi.org/10.1142/s0217732303010144.

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Roles of the nonlocality in the two-baryon potential derived from the quark cluster model, especially in the one from the quark Pauli-blocking effect on the kinetic term, is investigated by employing the inverse scattering problem. This effect can be understood by changing the degrees of the mixing between the incoming wave and the 0ℓ state of the inter-baryon-cluster wave function; which can be expressed by a baryon potential with high nonlocality. We look into the properties of this nonlocal potential by comparing it to the on-shell equivalent local potential. Their off-shell behaviors are very different from each other in the channels where the Pauli-blocking effect is large. The off-shell behavior of the nonlocal potential, however, seems to be simulated well when we keep the nonlocality of the potential between the 0s state and the other states.

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Rawitscher, G. H., D. Lukaszek, R. S. Mackintosh et S. G. Cooper. « Local representation of the exchange nonlocality inn−16O scattering ». Physical Review C 49, n^o 3 (1 mars 1994) : 1621–29. http://dx.doi.org/10.1103/physrevc.49.1621.

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Pantis, G., et S. A. Sofianos. « Inverse scattering for a specific resonating group model nonlocality ». Physical Review C 54, n^o 4 (1 octobre 1996) : 1825–31. http://dx.doi.org/10.1103/physrevc.54.1825.

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Grinevich, P. G., et P. M. Santini. « Nonlocality and the Inverse Scattering Transform for the Pavlov Equation ». Studies in Applied Mathematics 137, n^o 1 (1 avril 2016) : 10–27. http://dx.doi.org/10.1111/sapm.12127.

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Lukaszek, D., et G. H. Rawitscher. « Local approximations to the exchange nonlocality for neutron−16O scattering ». Physical Review C 54, n^o 2 (1 août 1996) : 805–8. http://dx.doi.org/10.1103/physrevc.54.805.

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FUJIWARA, Y., et K. FUKUKAWA. « EFFECT OF AN OFF-SHELL TRANSFORMATION OF THE QUARK-MODEL NN INTERACTION IN THE NEUTRON-DEUTERON SCATTERING OBSERVABLES ». Modern Physics Letters A 25, n^o 21n23 (30 juillet 2010) : 1759–62. http://dx.doi.org/10.1142/s0217732310000265.

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We solve the nd scattering in the Faddeev formalism, employing the NN sector of the quark-model baryon-baryon interaction fss2. The energy-dependence of the NN interaction, inherent to the (3q)-(3q) resonating-group formulation, is eliminated by the standard off-shell transformation utilizing the [Formula: see text] factor, where N is the normalization kernel for the (3q)-(3q) system. This procedure yields an extra nonlocality to the quark-model exchange kernel, which is very important to reproduce all the observables for the bound state and elastic scattering below En ≤ 65 MeV .

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FUJIWARA, Y., et K. FUKUKAWA. « EFFECT OF AN OFF-SHELL TRANSFORMATION OF THE QUARK-MODEL NN INTERACTION IN THE NEUTRON-DEUTERON SCATTERING ». International Journal of Modern Physics E 20, n^o 04 (avril 2011) : 847–52. http://dx.doi.org/10.1142/s0218301311018824.

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The neutron-deuteron (nd) scattering is studied in the Faddeev formalism, employing the NN sector of the quark-model baryon-baryon interaction fss2. The energy-dependence of the NN interaction, inherent to the resonating-group formulation of two three-quark clusters, is eliminated by the standard off-shell transformation utilizing the square root of the normalization kernel. This procedure yields an extra nonlocality to the quark-model exchange kernel, which is very important to reproduce all the observables for the bound state and the elastic scattering below En ≤ 65 MeV . The deuteron breakup differential cross sections are also examined.

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11

Cruz, C. « Quantum correlations and Bell’s inequality violation in a Heisenberg spin dimer via neutron scattering ». International Journal of Quantum Information 15, n^o 05 (août 2017) : 1750031. http://dx.doi.org/10.1142/s0219749917500319.

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The characterization of quantum information quantifiers has attracted a considerable attention of the scientific community, since they are a useful tool to verify the presence of quantum correlations in a quantum system. In this context, in the present work we show a theoretical study of some quantifiers, such as entanglement witness, entanglement of formation, Bell’s inequality violation and geometric quantum discord as a function of the diffractive properties of neutron scattering. We provide one path toward identifying the presence of quantum correlations and quantum nonlocality in a molecular magnet as a Heisenberg spin-[Formula: see text] dimer, by diffractive properties typically obtained via neutron scattering experiments.

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12

Kukushkin, Alexander B., et Andrei A. Kulichenko. « New Approach to Cross-Correlation Reflectometry Diagnostics of Nonlocality of Plasma Turbulence ». Symmetry 14, n^o 6 (19 juin 2022) : 1265. http://dx.doi.org/10.3390/sym14061265.

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One of the most important properties of stochastic nonlinear processes, including the turbulence of the hydrodynamic motion of continuous media, is distant spatial correlations. To describe them, an approach was proposed by Shlesinger and colleagues based on a linear integro-differential equation with a slowly decaying kernel, which corresponds to superdiffusion (nonlocal) transfer in the regime of Lévy walks (Lévy flights when the finite velocity of the carriers is taken into account). In this paper, we formulate a similar approach that makes it possible to formulate the problem of determining these properties from the scattering spectra of electromagnetic (EM) waves and cross-correlation reflectometry. A universal description of the relationship between the observed symmetric quasi-coherent component in the spectrum of scattered EM waves in plasmas and a process of the Mandelstam–Brillouin scattering type is obtained. It is shown that the nonlocality of spatial correlations of density fluctuations in a turbulent medium is due to long-free-path carriers of the medium’s perturbations, for which the free path distribution function is described by the Lévy distribution. The effectiveness of the proposed method is shown by the example of the interpretation of the data of cross-correlation reflectometry of EM waves in the radio-frequency range for the diagnosis of turbulent plasma in magnetic confinement devices for axisymmetric toroidal thermonuclear plasma.

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13

Hasan, M. F. « Volume and surface nonlocality terms in the neutron–nucleus elastic scattering using the velocity-dependent optical potential ». Canadian Journal of Physics 97, n^o 4 (avril 2019) : 421–30. http://dx.doi.org/10.1139/cjp-2018-0201.

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In this work, we tested the effect of adding a volume term to the surface term in our modified optical potential in the case of elastic neutron scattering of spin-zero 40Ca nucleus in the incident energy range between 30–50 MeV. This is achieved in two steps. First, we fit our theoretical elastic angular distribution scattering using the surface term in our velocity-dependent optical potential concerning the experimental data. Then, we adjust our theoretical elastic angular distribution scattering with the experimental data after adding the volume term into our velocity-dependent optical potential. The second step is comparing the two fits and noticing the effect of adding a volume term to the surface term. Clearly, the modified optical potential using the volume term resulted in excellent fits to the experimental data, most notably the pronounced large angle, backscattering minima, which depend sensitively on the incident energies and which have long been associated with nonlocalities. We assume the nonlocality to be due to interaction between the incident neutrons and the nucleons inside the target.

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14

Vatarescu, Andre. « Polarimetric Quantum-Strong Correlations with Independent Photons on the Poincaré Sphere ». Quantum Beam Science 6, n^o 4 (29 novembre 2022) : 32. http://dx.doi.org/10.3390/qubs6040032.

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Controllable, quantum-strong correlations of polarization states can be implemented with multi-photon independent states. Polarization-based photonic quantum correlations can be traced back to the overlap of the polarization Stokes vectors on the Poincaré sphere between two polarization filters. The quantum Rayleigh scattering prevents a single photon from propagating in a straight line inside a dielectric medium, and it also provides a mechanism for the projective measurement of polarization. Complexities associated with single-photon sources and detectors can be eliminated because the quantum Rayleigh scattering in a dielectric medium destroys entangled photons. Entanglement-free, identical sources and processing devices give rise to correlations rather than these being caused by “quantum nonlocality”. These analytic developments were prompted by the vanishing expectation values of the Pauli spin vector for a single photon of maximally entangled photonic Bell states.

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15

P, Contreras. « A Tale of the Scattering Lifetime and the Mean Free Path ». Physical Science & ; Biophysics Journal 6, n^o 2 (12 octobre 2022) : 1–12. http://dx.doi.org/10.23880/psbj-16000225.

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The idea of applying the scattering lifetime calculated from the imaginary part of the zero temperature elastic scattering cross-section to study a hidden self-consistent damping in two spaces of importance for non-equilibrium statistical mechanics is proposed. It is discussed its relation with the classical phase space from statistical mechanics and the configuration space from nonrelativistic quantum mechanics. This idea is contrasted with the mean free path values in three elastic collision regimes. The main exercise is to study the behavior of a self-consistent probabilistic distribution function in a space we have called the reduced phase space since it is related to the scattering lifetime. This exercise has been solved in two unconventional superconductors for which several calculations are discussed. One of them is to obtain the scattering phase shift from the inverse strength of an atomic potential and the other is to build several phases with different nodal configuration of the superconducting order parameter and show that the imaginary self-consistent part of the scattering cross-section is always positive for two compounds: the triplet strontium ruthenate and the singlet doped with strontium lanthanum cuprate when three models of superconducting order parameters are used: the quasi-point, the point and the line nodal cases. We finally compare the frequency dispersion in the anomalous skin effect with singular shapes of the Fermi surface with the frequency dispersion in the scattering lifetime and their respective mean free paths. This idea is useful because it intuitively explores the nonlocality of this type of hidden self-consistent damping for those incoherent fermionic quasiparticles.

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Cândido Ribeiro, M. A., L. C. Chamon, D. Pereira, M. S. Hussein et D. Galetti. « Pauli Nonlocality in Heavy-Ion Rainbow Scattering : A Further Test of the Folding Model ». Physical Review Letters 78, n^o 17 (28 avril 1997) : 3270–73. http://dx.doi.org/10.1103/physrevlett.78.3270.

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17

Еремин, Ю. А. « Анализ влияния нелокальности на характеристики ближнего поля слоистой частицы на подложке ». Журнал технической физики 128, n^o 9 (2020) : 1388. http://dx.doi.org/10.21883/os.2020.09.49881.141-20.

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The problem of electromagnetic plane wave scattering by a layered nanoparticle with a metal plasmon shell deposited on the surface of a transparent substrate is considered. Using the Discrete Source Method, the influence of spatial nonlocality in a metal layer on the near-field intensity and absorption cross section is investigated. The particle excitation by both a propagating and evanescent wave are considered. It is shown that the substrate has a more significant effect on the optical characteristics of the near field than on the intensity in the far zone. It was found that taking into account the nonlocal effect in the metal leads to a significant decrease in the plasmon resonance amplitude with a small blue shift.

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18

Duo, Siwei, et Yanzhi Zhang. « Computing the Ground and First Excited States of the Fractional Schrödinger Equation in an Infinite Potential Well ». Communications in Computational Physics 18, n^o 2 (30 juillet 2015) : 321–50. http://dx.doi.org/10.4208/cicp.300414.120215a.

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AbstractIn this paper, we numerically study the ground and first excited states of the fractional Schrödinger equation in an infinite potential well. Due to the nonlocality of the fractional Laplacian, it is challenging to find the eigenvalues and eigenfunctions of the fractional Schrödinger equation analytically. We first introduce a normalized fractional gradient flow and then discretize it by a quadrature rule method in space and the semi-implicit Euler method in time. Our numerical results suggest that the eigenfunctions of the fractional Schrödinger equation in an infinite potential well differ from those of the standard (non-fractional) Schrödinger equation. We find that the strong nonlocal interactions represented by the fractional Laplacian can lead to a large scattering of particles inside of the potential well. Compared to the ground states, the scattering of particles in the first excited states is larger. Furthermore, boundary layers emerge in the ground states and additionally inner layers exist in the first excited states of the fractional nonlinear Schrödinger equation. Our simulated eigenvalues are consistent with the lower and upper bound estimates in the literature.

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Lindgren, R. A., M. Leuschner, B. L. Clausen, R. J. Peterson, M. A. Plum et F. Petrovich. « Isovector excitation of stretched states in nuclei : effects of meson exchange currents, unbound wave functions, and knockout exchange amplitudes on the extraction of particle–hole strengths ». Canadian Journal of Physics 65, n^o 6 (1 juin 1987) : 666–76. http://dx.doi.org/10.1139/p87-095.

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It is well known that the strength for excitations of [Formula: see text] high spin, stretched states observed via inelastic scattering, is generally much smaller than that predicted by spherical shell-model calculations. In addition, results obtained from electromagnetic and hadronic studies have discrepancies at the 20% level. For us to gain a better understanding of reduced magnetic strength in electron scattering and hopefully close the gap between experiment and theory, calculations of the electron-scattering form factors have been performed including the effects due to meson exchange currents in the transition amplitude and the effects due to unbound wave functions for the valence nucleon. The effect of the meson exchange-current contributions is to uniformly enhance the form factors near the first maximum, resulting in a 16 to 20% further reduction of the stretched particle–hole strength. The effect due to the radial wave functions deduced from Woods–Saxon potentials in which the nucleon is not bound is to reduce the form factors, thereby resulting in an increase in the spectroscopic strength. As regards the comparison of results obtained with electromagnetic and hadronic probes, the implied sensitivity to higher order current and spin–current transition densities associated with the nonlocality due to the tensor knockout exchange amplitudes in nucleon–nucleus scattering is considered explicitly. It is found that the simplest correspondence between electron and nucleon–nucleus scattering is preserved for isovector excitations but not for isoscalar excitations under the usual assumptions for the tensor interaction. It is clear that precise comparisons between experiment and theory (or between probes) cannot be made unless these and related effects are consistently included.

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Eremin, Yu A., et A. G. Sveshnikov. « Analyzing the effect of nonlocality on the scattering properties of a plasmonic nanocylinder using the discrete-source method ». Moscow University Physics Bulletin 71, n^o 5 (septembre 2016) : 492–97. http://dx.doi.org/10.3103/s0027134916050076.

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Ahmad, Ashfaq, Pawel Strak, Pawel Kempisty, Konrad Sakowski, Jacek Piechota, Yoshihiro Kangawa, Izabella Grzegory et al. « Polarization doping—Ab initio verification of the concept : Charge conservation and nonlocality ». Journal of Applied Physics 132, n^o 6 (14 août 2022) : 064301. http://dx.doi.org/10.1063/5.0098909.

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In this work, we study the emergence of polarization doping in AlxGa1−xN layers with graded composition from a theoretical viewpoint. It is shown that bulk electric charge density emerges in the graded concentration region. The magnitude of the effect, i.e., the relation between the polarization bulk charge density and the concentration gradient is obtained. The appearance of mobile charge in the wurtzite structure grown along the polar direction was investigated using the combination of ab initio and drift-diffusion models. It was shown that the ab initio results can be recovered precisely by proper parameterization of drift-diffusion representation of the complex nitride system. It was shown that the mobile charge appears due to the increase of the distance between opposite polarization-induced charges. It was demonstrated that, for sufficiently large space distance between polarization charges, the opposite mobile charges are induced. We demonstrate that the charge conservation law applies for fixed and mobile charge separately, leading to nonlocal compensation phenomena involving (i) the bulk fixed and polarization sheet charge at the heterointerfaces and (ii) the mobile band and the defect charge. Therefore, two charge conservation laws are obeyed that induces nonlocality in the system. The magnitude of the effect allows obtaining technically viable mobile charge density for optoelectronic devices without impurity doping (donors or acceptors). Therefore, it provides an additional tool for the device designer, with the potential to attain high conductivities: high carrier concentrations can be obtained even in materials with high dopant ionization energies, and the mobility is not limited by scattering at ionized impurities.

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CONSOLI, M., et P. M. STEVENSON. « PHYSICAL MECHANISMS GENERATING SPONTANEOUS SYMMETRY BREAKING AND A HIERARCHY OF SCALES ». International Journal of Modern Physics A 15, n^o 01 (10 janvier 2000) : 133–57. http://dx.doi.org/10.1142/s0217751x00000070.

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We discuss the phase transition in (3+1)-dimensional λΦ4 theory from a very physical perspective. The particles of the symmetric phase ("phions") interact via a hard-core repulsion and an induced, long-range -1/r3 attraction. If the phion mass is sufficiently small, the lowest-energy state is not the "empty" state with no phions, but is a state with a nonzero density of phions Bose–Einstein condensed in the zero-momentum mode. The condensate corresponds to the spontaneous-symmetry-breaking vacuum with <Φ> ≠ 0 and its excitations ("phonons" in atomic physics language) correspond to Higgs particles. The phase transition happens when the phion's physical mass m is still positive; it does not wait until m2 passes through zero and becomes negative. However, at and near the phase transition, m is much, much less than the Higgs mass Mh. This interesting physics coexists with "triviality;" all scattering amplitudes vanish in the continuum limit, but the vacuum condensate becomes infinitely dense. The ratio [Formula: see text], which goes to zero in the continuum limit, can be viewed as a measure of nonlocality in the regularized theory. An intricate hierarchy of length scales naturally arises. We speculate about the possible implications of these ideas for gravity and inflation.

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23

Allred, Joel C., Graham S. Kerr et A. Gordon Emslie. « Solar Flare Heating with Turbulent Suppression of Thermal Conduction ». Astrophysical Journal 931, n^o 1 (1 mai 2022) : 60. http://dx.doi.org/10.3847/1538-4357/ac69e8.

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Abstract During solar flares, plasma is typically heated to very high temperatures, and the resulting redistribution of energy via thermal conduction is a primary mechanism transporting energy throughout the flaring solar atmosphere. The thermal flux is usually modeled using Spitzer’s theory, which is based on local Coulomb collisions between the electrons carrying the thermal flux and those in the background. However, often during flares, temperature gradients become sufficiently steep that the collisional mean free path exceeds the temperature-gradient scale size, so that thermal conduction becomes inherently nonlocal. Further, turbulent angular scattering, which is detectable in nonthermal widths of atomic emission lines, can also act to increase the collision frequency and thus suppress the heat flux. Recent work by Emslie & Bian extended Spitzer’s theory of thermal conduction to account for both nonlocality and turbulent suppression. We have implemented their theoretical expression for the heat flux (which is a convolution of the Spitzer flux with a kernel function) into the RADYN flare-modeling code and performed a parameter study to understand how the resulting changes in thermal conduction affect the flare dynamics and hence the radiation produced. We find that models with reduced heat fluxes predict slower bulk flows, less intense line emission, and longer cooling times. By comparing the features of atomic emission lines predicted by the models with Doppler velocities and nonthermal line widths deduced from a particular flare observation, we find that models with suppression factors between 0.3 and 0.5 relative to the Spitzer value best reproduce the observed Doppler velocities across emission lines forming over a wide range of temperatures. Interestingly, the model that best matches the observed nonthermal line widths has a kappa-type velocity distribution function.

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Li, Bao-An, et Lie-Wen Chen. « Neutron–proton effective mass splitting in neutron-rich matter and its impacts on nuclear reactions ». Modern Physics Letters A 30, n^o 13 (13 avril 2015) : 1530010. http://dx.doi.org/10.1142/s0217732315300104.

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The neutron–proton effective mass splitting in neutron-rich nucleonic matter reflects the spacetime nonlocality of the isovector nuclear interaction. It affects the neutron/proton ratio during the earlier evolution of the Universe, cooling of proto-neutron stars, structure of rare isotopes and dynamics of heavy-ion collisions. While there is still no consensus on whether the neutron–proton effective mass splitting is negative, zero or positive and how it depends on the density as well as the isospin-asymmetry of the medium, significant progress has been made in recent years in addressing these issues. There are different kinds of nucleon effective masses. In this mini-review, we focus on the total effective masses often used in the non-relativistic description of nuclear dynamics. We first recall the connections among the neutron–proton effective mass splitting, the momentum dependence of the isovector potential and the density dependence of the symmetry energy. We then make a few observations about the progress in calculating the neutron–proton effective mass splitting using various nuclear many-body theories and its effects on the isospin-dependence of in-medium nucleon–nucleon cross-sections. Perhaps, our most reliable knowledge so far about the neutron–proton effective mass splitting at saturation density of nuclear matter comes from optical model analyses of huge sets of nucleon–nucleus scattering data accumulated over the last five decades. The momentum dependence of the symmetry potential from these analyses provide a useful boundary condition at saturation density for calibrating nuclear many-body calculations. Several observables in heavy-ion collisions have been identified as sensitive probes of the neutron–proton effective mass splitting in dense neutron-rich matter based on transport model simulations. We review these observables and comment on the latest experimental findings.

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Lu, Wangtao, et Guanghui Hu. « Time-Harmonic Acoustic Scattering from a Nonlocally Perturbed Trapezoidal Surface ». SIAM Journal on Scientific Computing 41, n^o 3 (janvier 2019) : B522—B544. http://dx.doi.org/10.1137/18m1216195.

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26

Mir, Moslem. « Spatial nonlocality eﬀect on the surface plasmon propagation in plasmonic nanospheres waveguide ». Journal of Physics : Condensed Matter, 3 mars 2023. http://dx.doi.org/10.1088/1361-648x/acc15f.

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Abstract Spatial nonlocality aﬀects the plasmonic characteristics of nanostructures. We used the quasi-static hydrodynamic Drude model (QHDM) to obtain the surface plasmon excitation energies in various metallic nanosphere structures. The surface scattering and radiation-damping rates were phenomenologically incorporated into this model. We demonstrate that spatial nonlocality increases the surface plasmon frequencies and total plasmon damping rates in a single nanosphere. This eﬀect was ampliﬁed for small nanospheres and higher multipole excitation. In addition, we ﬁnd that spatial nonlocality reduces the interaction energy between two nanospheres. We extended this model to a linear periodic chain of nanospheres. Then we obtain the dispersion relation of surface plasmon excitation energies using Bloch’s theorem. We also show that spatial nonlocality decreases the group velocities and energy decay lengths of the propagating surface plasmon excitations. Finally, we demonstrated that the eﬀect of spatial nonlocality is signiﬁcant for very small nanospheres separated by short distances.

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Jaghoub, M. I. « Surface term optical model nonlocality in theNAelastic scattering process ». Physical Review C 85, n^o 2 (10 février 2012). http://dx.doi.org/10.1103/physrevc.85.024606.

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Upadhyay, N. J., et A. Bhagwat. « Taylor approximation to treat nonlocality in the scattering process ». Physical Review C 98, n^o 2 (7 août 2018). http://dx.doi.org/10.1103/physrevc.98.024605.

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Utoom, M., M. I. Jaghoub et T. Aqel. « Nonlocal optical model for deuteron elastic scattering ». Canadian Journal of Physics, 6 mai 2022. http://dx.doi.org/10.1139/cjp-2021-0380.

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Deuteron elastic scattering off light, intermediate and heavy nuclei form <sup>10</sup>Be to <sup>120</sup>Sn corresponding to incident energies in the range 10 - 70 MeV is considered using the nonlocal model of Perey and Buck, which explicitly includes a Gaussian nonlocality (F.G. Perey, B. Buck, Nuclear Physics A 32, 353 (1962)). We obtain two sets of global nonlocal parameters; one for light 1p-shell nuclei and the other for intermediate and heavy ones. The geometrical parameters of each set are fixed, while the imaginary volume and imaginary surface depths vary linearly with both energy and the neutron-proton asymmetry of the target. Our best angular distribution fits are in very good agreement with the measured data. To test the model, we used our global parameters to predict the angular distributions for nuclei and energies that have not been included in the fitting procedure. The resulting \chi^2 values are as good as the values calculated using global local potentials in the literature or better, despite the fact that 12 out of the 15 parameters of the nonlocal potential are fixed. For the deuteron-nucleus scattering, we determined a nonlocality parameter of 0.45 fm, which compares well with the values obtained in previous works.

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Rosati, Roberto, et Fausto Rossi. « Scattering nonlocality in quantum charge transport : Application to semiconductor nanostructures ». Physical Review B 89, n^o 20 (14 mai 2014). http://dx.doi.org/10.1103/physrevb.89.205415.

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Arellano, H. F., et G. Blanchon. « Ultraviolet suppression and nonlocality in optical model potentials for nucleon-nucleus scattering ». European Physical Journal A 57, n^o 1 (janvier 2021). http://dx.doi.org/10.1140/epja/s10050-020-00328-0.

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Dodelson, Matthew, et Eva Silverstein. « Long-range nonlocality in six-point string scattering : Simulation of black hole infallers ». Physical Review D 96, n^o 6 (14 septembre 2017). http://dx.doi.org/10.1103/physrevd.96.066009.

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Semenenko, Vyacheslav, Mengkun Liu et Vasili Perebeinos. « Scattering of Quasistatic Plasmons From One-Dimensional Junctions of Graphene : Transfer Matrices, Fresnel Relations, and Nonlocality ». Physical Review Applied 14, n^o 2 (18 août 2020). http://dx.doi.org/10.1103/physrevapplied.14.024049.

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Aqel, T., et M. I. Jaghoub. « A nonlocal optical potential with a Gaussian nonlocality for proton elastic scattering off light 1p-shell nuclei ». European Physical Journal A 56, n^o 8 (août 2020). http://dx.doi.org/10.1140/epja/s10050-020-00226-5.

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Temіrbek, A. M., M. М. Muratov, M. T. Gabdullin et T. S. Rmаzanov. « The effect of quantum nonlocality and electron nonideality on the scattering length of an electron on a helium atom in a dense plasma ». Recent Contributions to Physics 74, n^o 3 (2020). http://dx.doi.org/10.26577/rcph.2020.v74.i3.04.

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