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20 April 2024

» arxiv » hep-ph/0401224

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Quark-antiquark composite systems:the Bethe--Salpeter equation in the spectral-integration technique in the case of the different quark masses
A.V. Anisovich ; V.V. Anisovich ; V.N. Markov ; M.A. Matveev ; A.V. Sarantsev ;
Date:	28 Dec 2003
Journal:	Phys.Atom.Nucl. 67 (2004) 773-803; Yad.Fiz. 67 (2004) 794-824
Subject:	hep-ph
Abstract:	The Bethe--Salpeter equations for the quark-antiquark composite systems with different quark masses, such as $qar s$ (with $q=u$,$d$), $qar Q$ and $s ar Q$ (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.
Source:	arXiv, hep-ph/0401224
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