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Academic literature on the topic 'Vector coupling'

Author: Grafiati

Published: 1 June 2024

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Journal articles on the topic "Vector coupling"

1

Kiselev, Alexei D., Ali Ranim, and Andrei V. Rybin. "Speed of Evolution and Correlations in Multi-Mode Bosonic Systems." Entropy 24, no. 12 (2022): 1774. http://dx.doi.org/10.3390/e24121774.

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We employ an exact solution of the thermal bath Lindblad master equation with the Liouvillian superoperator that takes into account both dynamic and environment-induced intermode couplings to study the speed of evolution and quantum speed limit (QSL) times of a open multi-mode bosonic system. The time-dependent QSL times are defined from quantum speed limits, giving upper bounds on the rate of change of two different measures of distinguishability: the fidelity of evolution and the Hilbert–Schmidt distance. For Gaussian states, we derive explicit expressions for the evolution speed and the QSL times. General analytical results are applied to the special case of a two-mode system where the intermode couplings can be characterized by two intermode coupling vectors: the frequency vector and the relaxation rate vector. For the system initially prepared in a two-mode squeezed state, dynamical regimes are generally determined by the intermode coupling vectors, the squeezing parameter and temperature. When the vectors are parallel, different regimes may be associated with the disentanglement time, which is found to be an increasing (a decreasing) function of the length of the relaxation vector when the squeezing parameter is below (above) its temperature-dependent critical value. Alternatively, we study dynamical regimes related to the long-time asymptotic behavior of the QSL times, which is characterized by linear time dependence with the proportionality coefficients defined as the long-time asymptotic ratios. These coefficients are evaluated as a function of the squeezing parameter at varying temperatures and relaxation vector lengths. We also discuss how the magnitude and orientation of the intermode coupling vectors influence the maximum speed of evolution and dynamics of the entropy and the mutual information.

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2

Hassanabadi, Hassan, and Antonio Soares de Castro. "Bound States of Spinless Particles in a Short-Range Potential." Zeitschrift für Naturforschung A 70, no. 4 (2015): 245–49. http://dx.doi.org/10.1515/zna-2015-0025.

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AbstractWith a general mixing of vector and scalar couplings in a two-dimensional world, a short-range potential is used to explore certain features of the bound states of a spinless particle. Bound-state solutions are found in terms of the Gauss hypergeometric series when the potential parameters obey a certain constraint relation limiting the dosage of a vector coupling. The appearance of the Schiff–Snyder–Weinberg effect for a strong vector coupling and a short-range potential as well as its suppression by the addition of a scalar coupling is discussed.

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3

Kevrekidis, P. G., and D. E. Pelinovsky. "Discrete vector on-site vortices." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2073 (2006): 2671–94. http://dx.doi.org/10.1098/rspa.2006.1693.

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We study discrete vortices in coupled discrete nonlinear Schrödinger equations. We focus on the vortex cross configuration that has been experimentally observed in photorefractive crystals. Stability of the single-component vortex cross in the anti-continuum limit of small coupling between lattice nodes is proved. In the vector case, we consider two coupled configurations of vortex crosses, namely the charge-one vortex in one component coupled in the other component to either the charge-one vortex (forming a double-charge vortex) or the charge-negative-one vortex (forming a, so-called, hidden-charge vortex). We show that both vortex configurations are stable in the anti-continuum limit, if the parameter for the inter-component coupling is small and both of them are unstable when the coupling parameter is large. In the marginal case of the discrete two-dimensional Manakov system, the double-charge vortex is stable while the hidden-charge vortex is linearly unstable. Analytical predictions are corroborated with numerical observations that show good agreement near the anti-continuum limit, but gradually deviate for larger couplings between the lattice nodes.

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4

Krasnikov, N. V. "Implications of last NA64 results and the electron ge − 2 anomaly for the X(16.7) boson survival." Modern Physics Letters A 35, no. 15 (2020): 2050116. http://dx.doi.org/10.1142/s0217732320501163.

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We point out that last NA64 bound on coupling constant of hypothetical X[Formula: see text](16.7 MeV) vector boson with electrons plus the recent value of the anomalous electron magnetic moment exclude at 90% C.L. purely vector or axial–vector couplings of X[Formula: see text](16.7) boson with electrons. Models with nonzero [Formula: see text] coupling constant with electron survive and they can explain both the electron and muon [Formula: see text] anomalies.

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5

Makri, Nancy. "Topological aspects of system-bath Hamiltonians and a vector model for multisite systems coupled to local, correlated, or common baths." Journal of Chemical Physics 158, no. 14 (2023): 144107. http://dx.doi.org/10.1063/5.0147135.

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Some topological features of multisite Hamiltonians consisting of harmonic potential surfaces with constant site-to-site couplings are discussed. Even in the absence of Duschinsky rotation, such a Hamiltonian assumes the system-bath form only if severe constraints exist. The simplest case of a common bath that couples to all sites is realized when the potential minima are collinear. The bath reorganization energy increases quadratically with site distance in this case. Another frequently encountered situation involves exciton-vibration coupling in molecular aggregates, where the intramolecular normal modes of the monomers give rise to local harmonic potentials. In this case, the reorganization energy accompanying excitation transfer is independent of site-to-site separation, thus this situation cannot be described by the usual system-bath Hamiltonian. A vector system-bath representation is introduced, which brings the exciton-vibration Hamiltonian in system-bath form. In this, the system vectors specify the locations of the potential minima, which in the case of identical monomers lie on the vertices of a regular polyhedron. By properly choosing the system vectors, it is possible to couple each bath to one or more sites and to specify the desired initial density. With a collinear choice of system vectors, the coupling reverts to the simple form of a common bath. The compact form of the vector system-bath coupling generalizes the dissipative tight-binding model to account for local, correlated, and common baths. The influence functional for the vector system-bath Hamiltonian is obtained in a compact and simple form.

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6

KIM, HYUN-CHUL, TIM LEDWIG та KLAUS GOEKE. "VECTOR AND AXIAL-VECTOR STRUCTURES OF THE Θ+". Modern Physics Letters A 23, № 27n30 (2008): 2238–41. http://dx.doi.org/10.1142/s0217732308029101.

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We present in this talk recent results of the vector and axial-vector transitions of the nucleon to the pentaquark baryon Θ+, based on the SU(3) chiral quark-soliton model. The results are summarized as follows: K*NΘ vector and tensor coupling constants turn out to be gK*NΘ ≃ 0.81 and fK*NΘ ≃ 0.84, respectively, and the KNΘ axial-vector coupling constant to be [Formula: see text]. As a result, the total decay width for Θ+ → NK becomes very small: ΓΘ→NK ≃ 0.71 MeV , which is consistent with the DIANA result ΓΘ→NK = 0.36 ± 0.11 MeV .

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7

DELBOURGO, R., and M. D. SCADRON. "DYNAMICAL GENERATION OF THE GAUGED SU(2) LINEAR SIGMA MODEL." Modern Physics Letters A 10, no. 03 (1995): 251–66. http://dx.doi.org/10.1142/s0217732395000284.

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The fermion and meson sectors of the quark-level SU(2) linear sigma model are dynamically generated from a meson–quark Lagrangian, with the quark (q) and meson (σ, π) fields all treated as elementary, having neither bare masses nor expectation values. In the chiral limit, the masses are predicted to be mq = fπg, mπ = 0, mσ = 2mq, and we also find that the quark–meson coupling is [Formula: see text], the three-meson coupling is [Formula: see text] and the four-meson coupling is λ = 2g2 = g′/fπ, where fπ ≃ 90 MeV is the pion decay constant and Nc = 3 is the color number. By gauging this model one can generate the couplings to the vector mesons ρ and A1, including the quark–vector coupling constant gρ = 2π, gρππ, gA1ρπ and the masses mρ ~ 700 MeV, [Formula: see text]; of course the vector and axial currents remain conserved throughout.

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8

Jaminon, M., and R. Mendez-Galain. "Effect of the vector-axial-vector coupling on the vector-meson modes." Nuclear Physics A 564, no. 4 (1993): 542–50. http://dx.doi.org/10.1016/0375-9474(93)90212-g.

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9

Lahiri, Amitabha. "Vector–Tensor Duality." Modern Physics Letters A 12, no. 35 (1997): 2699–705. http://dx.doi.org/10.1142/s0217732397002831.

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A dynamical non-Abelian two-form potential gives masses to vector bosons via a topological coupling.1 Unlike in the Abelian case, the two-form cannot be dualized to Goldstone bosons. Duality is restored by coupling a flat connection to the theory in a particular way, and the new action is then dualized to a nonlinear sigma model. The presence of the flat connection is crucial, which saves the original mechanism of Higgs-free topological mass generation from being dualized to a sigma model.

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10

Zhang, Hong-Yi, and Siyang Ling. "Phenomenology of wavelike vector dark matter nonminimally coupled to gravity." Journal of Cosmology and Astroparticle Physics 2023, no. 07 (2023): 055. http://dx.doi.org/10.1088/1475-7516/2023/07/055.

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Abstract We study three astrophysical/cosmological consequences of nonminimal couplings to gravity in wavelike vector dark matter. In the nonrelativistic limit, the nonminimal coupling with the lowest mass dimension leads to effective self-interactions that affect the mass-radius relation of vector solitons, growth of linear perturbations during structure formation, and the speed of gravitational waves (GWs). Based on the success of cold dark matter on large-scale perturbations and the current limits on GW speed, we constrain the dark matter mass and nonminimal coupling strength to be within the range |ξ 1|/m 2 ≪ 1050 eV-2 and -3 × 1046 eV-2 ≲ ξ 2/m 2 ≲ 8 × 1048 eV-2.

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