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At the BCS level of chiral symmetry breaking, the mass gap equation for quark-antiquark condensation only uses the kernel of the Bethe-Salpeter equation. We introduce coupled channels with ladder mesons in the mass gap equation. Consistency…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Bicudo

Exploiting an interplay of the Bethe-Salpeter equation enabling us to regard mesons as bound states of quark and antiquark and the Dyson-Schwinger equation controlling the dressed quark propagator, we amend existing studies of quarkonia by…

High Energy Physics - Phenomenology · Physics 2019-06-03 Thomas Hilger , María Gómez-Rocha , Andreas Krassnigg , Wolfgang Lucha

As part of our ongoing lattice study of SU(3) gauge theory with two flavors of fermions in the two-index symmetric representation (the sextet model), we present the current status of the pseudoscalar particle spectrum. We use a mixed action…

High Energy Physics - Lattice · Physics 2018-04-18 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

In this work we devise a new method to study quark anti-quark interactions beyond simple ladder-exchange that yield massless pions in the chiral limit. The method is based on the requirement to have a representation of the quark-gluon…

High Energy Physics - Phenomenology · Physics 2015-06-18 Walter Heupel , Tobias Goecke , Christian S. Fischer

In this work, the $\Omega_c$-like molecular states are systematically investigated in a quasipotential Bethe-Salpeter equation approach. The relevant interactions $\Xi_c^{(*,')}\bar{K}^{(*)}$, $\Xi^{(*)}D^{(*)}$, and…

High Energy Physics - Phenomenology · Physics 2022-06-08 Jun-Tao Zhu , Shu-Yi Kong , Lin-Qing Song , Jun He

We study the properties of light mesons in the scalar, pseudo-scalar, and vector channels within the light-front quantization, by using the (one flavor) Nambu--Jona-Lasinio model with vector interaction. After taking into account the…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Naito , S. Maedan , K. Itakura

We study the possibility that the scalar mesons exist as four-quark states. The energy shift of two pseudoscalar mesons as a function of spatial lattice size makes a distinction between bound states and scattering states of four-quark…

High Energy Physics - Lattice · Physics 2012-11-12 Masayuki Wakayama , Chiho Nonaka

In this work, I studied the spectrum of scalar mesons and axial-vector mesons via Dyson-Schwinger equation and Bethe-Salpeter equation approach in the rainbow-ladder approximation. An interaction model with a repulsive term added to the one…

High Energy Physics - Phenomenology · Physics 2021-07-20 Muyang Chen

We update our previous results for (pseudo-)scalar mesons at zero temperature and finite quark chemical potential and generalize the investigation to include (axial-)vector mesons. We determine bound-state properties such as meson masses…

High Energy Physics - Phenomenology · Physics 2021-09-02 Pascal J. Gunkel , Christian S. Fischer

We present an extension of the Goldstone-boson-exchange constituent quark model including additional interactions beyond the ones used hitherto. For the hyperfine interaction between the constituent quarks we assume pseudoscalar, vector,…

Nuclear Theory · Physics 2009-11-10 K. Glantschnig , R. Kainhofer , W. Plessas , B. Sengl , R. F. Wagenbrunn

I describe some insight obtained from a lattice calculation on the possibility that the light scalar mesons are \qbar^2 q^2 states rather than \qbar q. First I review some general features of \qbar^2 q^2 states in QCD inspired quark models.…

High Energy Physics - Lattice · Physics 2009-11-10 M. Alford , R. L. Jaffe

In the heavy quark limit, we establish the Bethe-Salpeter equations for the ground state $QQ^{\prime} \bar u \bar d$ containing one heavy diquark $QQ^{\prime}$ ($Q, Q^{\prime}=b$ or $c$) and one light antidiquark $\bar u \bar d$. We solve…

High Energy Physics - Phenomenology · Physics 2013-10-01 G. -Q. Feng , X. -H. Guo , B. -S. Zou

To solve the spinor-spinor Bethe-Salpeter equation in Euclidean space we propose a novel method related to the use of hyperspherical harmonics. We suggest an appropriate extension to form a new basis of spin-angular harmonics that is…

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

Pion and kaon observables are calculated using a Dyson-Schwinger Bethe-Salpeter formalism. It is shown that an infrared finite gluon propagator can lead to quark confinement via generation of complex mass poles in quark propagators.…

High Energy Physics - Phenomenology · Physics 2009-10-30 Cetin Savkli , Frank Tabakin

We evaluate theoretically the interaction of the open bottom and strange systems $\bar B\bar K$, $\bar B^* \bar K$, $\bar B\bar K^*$ and $\bar B^*\bar K^*$ to look for possible bound states which could correspond to exotic…

High Energy Physics - Phenomenology · Physics 2022-10-26 E. Oset , L. Roca

We develop an advanced method of solving homogeneous and inhomogeneous Bethe-Salpeter equations by using the expansion over the complete set of 4-dimensional spherical harmonics. We solve Bethe-Salpeter equations for bound and scattering…

Nuclear Theory · Physics 2011-04-26 S. S. Semikh , S. M. Dorkin , M. Beyer , L. P. Kaptari

The two-fermion bound system is an attractive subject of atomic and sub-atomic physics. Despite these systems are rather simple the study of two-particle bound states is challenging and still remains a source of progress in quantum theory.…

Nuclear Theory · Physics 2007-05-23 S. M. Dorkin , S. S. Semikh , M. Beyer , L. P. Kaptari

We analyse available data on the quark pseudoscalar vertex and extract the contribution og the Goldstone boson pole. The strength of the pole is found to be quite large at presently accessible scales. We draw the important consequences of…

High Energy Physics - Lattice · Physics 2015-06-25 J-R. Cudell , A. Le Yaouanc , C. Pittori

We present a comprehensive review of the structure of pseudoscalar mesons within an algebraic model formulated in the light-front framework. The approach provides a unified description of leading-twist parton distribution amplitudes (PDAs),…

High Energy Physics - Phenomenology · Physics 2026-04-21 B. Almeida-Zamora , L. Albino , A. Bashir , J. J. Cobos-Martínez , J. Segovia

The features of a model interpreting the light scalar mesons as diquark-antidiquark bound states and the consequences of its natural extension to include heavy quarks are briefly reviewed.

High Energy Physics - Phenomenology · Physics 2009-11-11 L. Maiani , F. Piccinini , A. D. Polosa , V. Riquer
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