COVARIANT SINGLE-TIME BOUND-STATE EQUATION

Details COVARIANT SINGLE-TIME BOUND-STATE EQUATION COVARIANT SINGLE-TIME BOUND-STATE EQUATION

1995-04-26

arxiv.org/abs/hep-ph/9504396v1

Phys.Lett. B353 (1995) 284-288

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages latex; 4 figures uuencoded ps file

Scientific paper

10.1016/0370-2693(95)00568-6

We derive a system of covariant single-time equations for a two-body bound state in a model of scalar fields $\phi_1$ and $\phi_2$ interacting via exchange of another scalar field $\chi$. The derivation of the system of equations follows from the Haag expansion. The equations are linear integral equations that are explicitly symmetric in the masses, $m_1$ and $m_2$, of the scalar fields, $\phi_1$ and $\phi_2$. We present an approximate analytic formula for the mass eigenvalue of the ground state and give numerical results for the amplitudes for a choice of constituent and exchanged particle masses.

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