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The mass spectrum of heavy pseudoscalar mesons, described as quark-antiquark bound systems, is considered within the Bethe-Salpeter formalism with momentum-dependent masses of the constituents. This dependence is found by solving the…

Nuclear Theory · Physics 2011-03-07 S. M. Dorkin , T. Hilger , L. P. Kaptari , B. Kaempfer

The quantum 2-component DS1 system was reduced to two 1D many-body problems with $\delta-$function interactions, which were solved by Bethe ansatz. Using the ansatz in ref.[1] and introducing symmetric and antisymmetric Young operators of…

Condensed Matter · Physics 2007-05-23 Yi Cheng , Mu-Lin Yan , Bao-Heng Zhao

Semiconductor Bloch equations, which microscopically describe the dynamics of a Coulomb interacting, spin-unpolarized electron-hole plasma, can be solved in two limits: the coherent and the quasi-equilibrium regime. These equations have…

Materials Science · Physics 2009-11-13 Arjun Joshua , V. Venkataraman

Degenerate spinor Bose gases with repulsive density-density interaction and anti-ferromagnetic spin-spin coupling in one spatial dimension are shown to be described by a quantum integrable matrix extension of the nonlinear Schr\"odinger…

Quantum Gases · Physics 2026-05-01 Hannes Köper , Thomas Gasenzer

We analyze the performance of two strategies in solving the structured eigenvalue problem deriving from the Bethe-Salpeter equation (BSE) in condensed matter physics. The BSE matrix is constructed with the Yambo code, and the two strategies…

Based on previous works, analytical calculational procedures for dealing with the strongly interacting fermions ground state are further developed through a medium dependent potential in terms of the Bethe-Peierls contact interaction model.…

Statistical Mechanics · Physics 2008-11-26 Ji-sheng Chen , Chuan-ming Cheng , Jia-rong Li , Yan-ping Wang

Like adiabatic time-dependent density-functional theory (TD-DFT), the Bethe-Salpeter equation (BSE) formalism of many-body perturbation theory, in its static approximation, is "blind" to double (and higher) excitations, which are…

Chemical Physics · Physics 2021-06-14 Enzo Monino , Pierre-François Loos

A Dyson Bethe-Salpeter equation (Dyson-BSE) for fermion pairs is presented whose kernel has a static and a one frequency dependent contribution, analogous to the self energy of the single particle Dyson equation with the (static) mean field…

Nuclear Theory · Physics 2020-01-08 Peter Schuck

The Bethe-Salpeter Equation for a two-scalar, S-wave bound system, interacting through a massive scalar, is investigated within the ladder approximation. By assuming a Nakanishi integral representation of the Bethe-Salpeter amplitude, one…

High Energy Physics - Phenomenology · Physics 2014-02-10 Giovanni Salme` , Tobias Frederico , Michele Viviani

We present a covariant scheme to calculate mesonic transitions in the framework of the Salpeter equation for $q\bar{q}$-states. The full Bethe Salpeter amplitudes are reconstructed from equal time amplitudes which were obtained in a…

Nuclear Theory · Physics 2008-11-26 C. R. Muenz , J. Resag , B. C. Metsch , H. R. Petry

Dynamical mean-field theory describes the impact of strong local correlation effects in many-electron systems. While the single-particle spectral function is directly obtained within the formalism, two-particle susceptibilities can also be…

Strongly Correlated Electrons · Physics 2024-05-16 Erik G. C. P. van Loon , Hugo U. R. Strand

We reproduce masses of the self-conjugate and non-self-conjugate mesons in the context of the spinless Salpeter equation taking into account the relativistic kinematics and the quark spins. The hyperfine splittings for the ${\rm 2S}$…

High Energy Physics - Phenomenology · Physics 2010-11-05 Sameer M. Ikhdair , Ramazan Sever

The simplest, algebraic quantum-electrodynamical corrections, due to the double-negative energy subspace and instantaneous interactions, are computed to the no-pair energy of two-spin-1/2-fermion systems. Numerical results are reported for…

Chemical Physics · Physics 2025-12-09 Péter Jeszenszki , Edit Mátyus

The one-dimensional small-polaron model with open boundary conditions is considered in the framework of the quantum inverse scattering method. The spin model which is equivalent to the small-polaron model is the Heisenberg $XXZ$ spin chain…

Condensed Matter · Physics 2007-05-23 Heng Fan , Xi-Wen Guan

The exclusive deuteron break-up reaction is analyzed within a covariant approach based on the Bethe-Salpeter equation with realistic meson-exchange interaction. Relativistic effects in the cross section, tensor analyzing power and…

Nuclear Theory · Physics 2008-11-26 L. P. Kaptari , B. Kaempfer , S. M. Dorkin , S. S. Semikh

The Bethe-Salpeter equation for bound states of a fermion-antifermion pair in the instantaneous approximation for the involved interaction kernel is converted into an equivalent matrix eigenvalue problem with explicitly (algebraically)…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wolfgang Lucha , Khin Maung Maung , F. F. Schoberl

We study the nucleon at finite temperature using Bethe-Salpeter equation (BSE) where it is considered as a bound state of a scalar-diquark and a quark. The interaction between the diquark and the quark is taken as an exchange quark.The…

Nuclear Theory · Physics 2007-05-23 I. Zakout

The Bethe-Salpeter formalism in the instantaneous approximation for the interaction kernel entering into the Bethe-Salpeter equation represents a reasonable framework for the description of bound states within relativistic quantum field…

High Energy Physics - Phenomenology · Physics 2009-10-31 Wolfgang Lucha , Khin Maung Maung , F. F. Schoberl

The Bethe-Salpeter equation for two-body bound system with spin $1/2$ constituent is addressed directly in the Minkowski space. In order to accomplish this aim we use the Nakanishi integral representation of the Bethe-Salpeter amplitude and…

High Energy Physics - Phenomenology · Physics 2017-11-06 W. de Paula , T. Frederico , G. Salmè , M. Viviani , R. Pimentel

Bethe-Salpeter equation is applied to $p$-$p$ elastic scattering. The observables of spin are calculated in the framework of the M matrix using the two-body interaction potential. The parameter of the pseudovector coupling constant is…

Nuclear Theory · Physics 2015-08-27 Susumu Kinpara
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