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The Salpeter equation, a standard tool in hadron physics, constitutes a well-defined three-dimensional approximation to the Bethe-Salpeter formalism for the description of bound states within quantum field theories. However, if confinement…

高能物理 - 唯象学 · 物理学 2011-06-15 Wolfgang Lucha

The problem of calculating of the mass spectrum of the two-body Bethe-Salpeter equation is studied with no reduction to the three-dimensional ("quasipotential") equation. The method to find the ground state and excited states for a channel…

高能物理 - 唯象学 · 物理学 2015-06-25 A. Yu. Umnikov , F. C. Khanna

A novel method for constructing a Bethe-Salpeter kernel for the meson bound-state problem is described. It produces a closed-form kernel that is symmetry-consistent (discrete and continuous) with the gap equation defined by any admissible…

高能物理 - 唯象学 · 物理学 2021-08-11 Si-Xue Qin , Craig D. Roberts

The Bethe-Salpeter equation provides the most widely used technique to extract bound states and resonances in a relativistic Quantum Field Theory. Nevertheless a thorough discussion how to identify its solutions with physical states is…

高能物理 - 理论 · 物理学 2009-10-31 S. Ahlig , R. Alkofer

Salpeter equations with potential functions rising to infinity in configuration space do not automatically predict stable bound states. For this to happen, also the Lorentz behaviour of the involved Bethe-Salpeter kernels is crucial. At…

高能物理 - 唯象学 · 物理学 2011-02-01 Wolfgang Lucha

Amongst the bound states produced by the strong interaction, radially excited meson and nucleon states offer an important phenomenological window into the long-range behavior of the coupling constant in Quantum Chromodynamics. We here…

核理论 · 物理学 2016-04-20 Bruno El-Bennich , Eduardo Rojas

Many efforts have been made to reveal the nature of the overabundant resonant structures observed by the worldwide experiments in the last two decades. Hadronic molecules attract special attention because many of these seemingly…

高能物理 - 唯象学 · 物理学 2021-08-10 Xiang-Kun Dong , Feng-Kun Guo , Bing-Song Zou

Focusing on the continuum meson bound-state problem, a novel method is used to calculate closed-form Bethe-Salpeter kernels that are symmetry consistent with any reasonable gluon-quark vertex, $\Gamma_\nu$, and therewith deliver a…

高能物理 - 唯象学 · 物理学 2023-03-22 Zhen-Ni Xu , Zhao-Qian Yao , Si-Xue Qin , Zhu-Fang Cui , Craig D. Roberts

The instantaneous Bethe-Salpeter equation, derived from the general Bethe-Salpeter formalism by assuming that the involved interaction kernel is instantaneous, represents the most promising framework for the description of hadrons as bound…

高能物理 - 唯象学 · 物理学 2009-10-31 Wolfgang Lucha , K. Maung Maung , F. F. Schoberl

In theoretical hadron physics mesons are a center of attention. Constructed in a simpler way than baryons in the quark model, they still present a considerable challenge if one aims at an understanding of all their aspects in terms of…

核理论 · 物理学 2009-06-25 A. Krassnigg

We study ground and radial excitations of flavor singlet and flavored pseudoscalar mesons within the framework of the rainbow-ladder truncation using an infrared massive and finite interaction in agreement with recent results for the…

核理论 · 物理学 2015-06-22 E. Rojas , B. El-Bennich , J. P. B. C. de Melo

Ground-state, radially-excited and exotic scalar-, vector- and flavoured-pseudoscalar-mesons are studied in rainbow-ladder truncation using an interaction kernel that is consonant with modern DSE- and lattice-QCD results. The inability of…

核理论 · 物理学 2012-03-20 Si-xue Qin , Lei Chang , Yu-xin Liu , Craig D. Roberts , David J. Wilson

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…

高能物理 - 唯象学 · 物理学 2009-10-31 Wolfgang Lucha , Khin Maung Maung , F. F. Schoberl

In the functional approach to quantum chromodynamics, the properties of hadronic bound states are accessible via covariant integral equations, e.g. the Bethe-Salpeter equations for mesons. In particular, one has to deal with linear,…

高能物理 - 唯象学 · 物理学 2011-05-05 M. Blank , A. Krassnigg

The most popular 3-dimensional reduction of the Bethe-Salpeter formalism for the description of bound states within quantum field theory is the Salpeter equation, found as the instantaneous limit of the Bethe-Salpeter framework if allowing,…

高能物理 - 唯象学 · 物理学 2009-06-25 Wolfgang Lucha

The proper treatment of hadronic resonances plays an important role in many aspects of heavy ion collisions. This is expected to be the case also for hadronization, due to the large degeneracies of excited states, and the abundant…

核理论 · 物理学 2023-08-31 Rainer J. Fries , Jacob Purcell , Michael Kordell , Che-Ming Ko

Flavored mesons containing quarks of unequal masses are studied. The appropriate tool is the Bethe-Salpeter formalism, but its inherent complexity leads to series of difficulties mostly related to the central role played in it by the…

高能物理 - 唯象学 · 物理学 2020-08-26 Mikhail N. Sergeenko

Analytical complexity of quantum wavefunction whose argument is extended into the complex plane provides an important information about the potentiality of manifesting complex quantum dynamics such as time-irreversibility, dissipation and…

统计力学 · 物理学 2015-06-17 Hiroaki S. Yamada , Kensuke S. Ikeda

We study exotic baryon systems composed of anticharmed mesons and strange baryons using the extended local hidden gauge approach. By solving the coupled-channel Bethe-Salpeter equation with interaction kernels from vector meson exchange, we…

高能物理 - 唯象学 · 物理学 2025-07-03 Jing Song , Eulogio Oset

The degenerate Anderson model with a nonlinear electron dispersion and an energy dependent hybridization is proven to exhibit hidden integrability and is diagonalized by the Bethe ansatz. If the impurity $f$-level energy lies below the…

强关联电子 · 物理学 2016-08-31 Valery I. Rupasov
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