A dynamical model of baryons with the spinor-scalar bethe-salpeter equation
Jun 18, 197331 pages
Published in:
- Nucl.Phys.B 57 (1973) 221-251
- Published: Jun 18, 1973
Citations per year
Abstract: (Elsevier)
The first part of the paper contains a systematic study of the spinor-scalar Bethe-Salpeter equation with a scalar ladder-like interaction. By expansion and truncation procedures a finite system of linear homogeneous equations is obtained which represent the Bethe-Salpeter equation in the space of convenient basis functions. In the second part a relativistic parton model of baryons is suggested. The three-point Bethe-Salpeter amplitude of the bound state baryon is approximated by a decomposition which involves the solutions of a generalized spinor-scalar Bethe-Salpeter equation. These solutions might be interpreted as the single-parton amplitudes. It is assumed that the long-range effective interaction has a Coulomb-type asymptotic behaviour. A linear leading Regge trajectory is achieved by assuming that the effective mass of partons is a particular function of the c.m. energy of the baryon.- baryon: model
- bethe-salpeter equation
- spinor: scalar
- scalar: spinor
- model: parton
- regge poles
- approximation: ladder
- model: interaction
- interaction: model
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