PION-NUCLEON SCATTERING IN THE P-33 CHANNEL IN THE LINEAR SIGMA MODEL

被引:7
作者
LIN, W
SEROT, BD
机构
[1] INDIANA UNIV,DEPT PHYS,BLOOMINGTON,IN 47405
[2] INDIANA UNIV,CTR NUCL THEORY,BLOOMINGTON,IN 47405
关键词
D O I
10.1016/0375-9474(91)90264-7
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
A consistent study of the NN interaction requires the investigation of the DELTA-resonance, as the DELTA can affect the properties of the effective light sigma-meson originating from correlated two-pion exchange and vice versa. We study how the DELTA appears as an effective degree of freedom in the linear sigma-model. Since the field-theoretic scattering amplitudes respect certain analytic properties, it is appropriate to use partial-wave dispersion relations for pi-N scattering, which produce non-linear integral equations that are solved by the N/D method. We choose an amplitude that guarantees the correct threshold behavior and that gives a P-33 resonance with a driving term from one-nucleon exchange. Then we investigate the effect of adding the one-sigma-exchange force. With either a very heavy or a light sigma-meson, we can find a P-33 resonance. For intermediate sigma-masses, we find a pi-N bound state. We confirm that the calculated resonance mass depends sensitively on the short-range pi-N attraction. Nevertheless, the existence of a P-33 resonance is compatible with the existence of an effective light sigma-meson in this model.
引用
收藏
页码:601 / 614
页数:14
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