Quark-antiquark composite systems:the Bethe--Salpeter equation in the spectral-integration technique in the case of the different quark masses

Abstract

The Bethe--Salpeter equations for the quark-antiquark composite systems with different quark masses, such as $q\bar{s}$ (with $q=u$,$d$), $q\bar{Q}$ and $s\bar{Q}$ (with $Q=c$,$b$), are written in terms of spectral integrals. For the mesons characterized by the mass $M$, spin $J$ and radial quantum number $n$, the equations are presented for the $(n,M^2)$-trajectories with fixed $J$. In the spectral-integral technique one can use the energy-dependent forces and get beyond instantaneous approximation. The mixing between states with different quark spin $S$ and angular momentum $L$ are also discussed.

24 pages

References in corpus (4)

• Mesons in a Poincare Covariant Bethe-Salpeter Approach
• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• Moment-operator expansion for the two-meson, two-photon and fermion-antifermion states
• Unitarity and the Bethe-Salpeter Equation

Cited by in corpus (1)

• Constituent quarks, chiral symmetry, and chiral point of the constituent quark model