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In this article, we investigate the structures of the pseudoscalar mesons ($\pi$, $K$, $D$, $D_s$, $B$ and $B_s$) in the framework of the coupled rainbow Schwinger-Dyson equation and ladder Bethe-Salpeter equation with the confining…

High Energy Physics - Phenomenology · Physics 2016-09-06 Z. G. Wang , Wei-Min Yang , Shao-Long Wan

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 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 2010-12-27 S. M. Dorkin , T. Hilger , B. Kaempfer , L. P. Kaptari

In this article, we study the structure of the \rho meson in the framework of the coupled rainbow Schwinger-Dyson equation and ladder Bethe-Salpeter equation with a confining effective potential. The u and d quark propagators get…

High Energy Physics - Phenomenology · Physics 2008-11-26 Z. G. Wang , S. L. Wan

In this article, we investigate the structures of the pseudoscalar charmonium and bottomonium in the framework of the coupled rainbow Schwinger-Dyson equation and ladder Bethe-Salpeter equation with the confining effective potential…

High Energy Physics - Phenomenology · Physics 2009-11-10 Zhi-Gang Wang , Wei-Min Yang , Shao-Long Wan

In this article, we investigate the under-structures of the $\pi$ and B mesons in the framework of the Bethe-Salpeter equation with the bare quark-gluon vertex, bare quark propagator and the confining effective potential (infrared modified…

High Energy Physics - Phenomenology · Physics 2009-11-10 Zhi-Gang Wang , Wei-Min Yang , Shao-Long Wan

Within the framework of the instantaneous Bethe-Salpeter equation, we present a detailed analysis of light meson spectra with respect to various parameterizations of confinement in Dirac space. Assuming a linearly rising quark-antiquark…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ralf Ricken , Matthias Koll , Dirk Merten , Bernard Ch. Metsch , Herbert R. Petry

We study the dynamical generation of scalar mesons in the light quark sector ($q\in\{u,d,s\}$) and calculate the masses and widths for the $f_0(500),a_0(980)$ and $f_0(980)$. To this end we study the mixing of conventional $q\bar{q}$ and…

High Energy Physics - Phenomenology · Physics 2022-03-14 Nico Santowsky , Christian S. Fischer

Scalar tetraquark states are studied within the diquark-antidiquark picture in a non-relativistic approach. We consider two types of confining potentials, a quadratic and a linear one, to which we also add spin-spin, isospin-isospin, and…

High Energy Physics - Phenomenology · Physics 2021-11-10 Zahra Ghalenovi , Francesco Giacosa , Dirk H. Rischke

The quark Dyson-Schwinger equation and meson Bethe-Salpeter equation are studied in a truncation scheme that extends the rainbow-ladder approximation such that, in the chiral limit, the isovector, pseudoscalar meson remains massless.…

Nuclear Theory · Physics 2010-03-04 A. Bender , C. D. Roberts , L. v. Smekal

We develop a covariant approach to describe the low-lying scalar, pseudoscalar, vector and axialvector mesons as quark-antiquark bound states. This approach is based on an effective interaction modeling of the non--perturbative structure of…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , P. Watson , H. Weigel

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

We investigate the properties of light scalar and pseudoscalar mesons at finite (light) quark chemical potential. To this end we solve a coupled set of (truncated) Dyson-Schwinger equations for the quark and gluon propagators in…

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

The effect of quark-gluon vertex dressing on the ground state masses of the u/d-quark pseudoscalar, vector and axialvector mesons is considered with the Dyson-Schwinger equations. This extends the ladder-rainbow Bethe-Salpeter kernel to…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. Watson , W. Cassing , P. C. Tandy

We present a covariant approach to describe the low--lying scalar, pseudoscalar, vector and axialvector mesons as quark--antiquark bound states.This approach is based on an effective interaction modeling of the non--perturbative structure…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Weigel , R. Alkofer , P. Watson

Using a confining, symmetry-preserving regularisation of a vector$\times$vector contact interaction, we compute the spectra of ground-state pseudoscalar and vector $(f\bar g)$ mesons, scalar and axial-vector $(fg)$ diquarks, and $J^P=1/2^+,…

Nuclear Theory · Physics 2019-08-14 Pei-Lin Yin , Chen Chen , Gastao Krein , Craig D. Roberts , Jorge Segovia , Shu-Sheng Xu

We present a numerical solution of the four-quark Bethe-Salpeter equation for ground-state scalar tetraquarks with J^PC = 0^++. We find that the four-body equation dynamically generates pseudoscalar-meson poles in the Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2015-12-21 Gernot Eichmann , Christian S. Fischer , Walter Heupel

We solve the homogeneous Bethe-Salpeter (HBS) equation for the scalar, pseudoscalar, vector, and axial-vector bound states of quark and anti-quark in large Nf QCD with the improved ladder approximation in the Landau gauge. The quark mass…

High Energy Physics - Phenomenology · Physics 2009-11-10 Masayasu Harada , Masafumi Kurachi , Koichi Yamawaki

Two-body bound states such as mesons are described by solutions of the Bethe-Salpeter equation. We discuss recent results for the pseudoscalar and vector meson masses and leptonic decay constants, ranging from pions up to c\bar{c} bound…

Nuclear Theory · Physics 2009-11-10 A. Krassnigg , P. Maris

The coupled quark Dyson-Schwinger and meson Bethe-Salpeter equations in rainbow-ladder truncation for spin-0 mesons are solved in Wigner-Weyl phase in the chiral limit and beyond, retaining only the ultraviolet finite terms of the…

High Energy Physics - Phenomenology · Physics 2016-03-30 Thomas Hilger
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