K-MESON-NUCLEON SCATTERING AND RELATIVISTIC DISPERSION RELATIONS
S> Relativistic K-meson-nucleon dispersion relations are subjected to the type of analysis which leads one to expect a resonance in the pion-nucleon system. The P-wave equations for scalar mesons show no indication of any resonance. But the S-wave equations strongly suggest a resonant K/sup +/-p scattering and a repulsive K-nucleon potential, both in contradiction with experiment. However, for pseudoscalar K-particles, analogous to the pion, the P- wave equations are consistent with a resonanlce in the I = 1, J =3/2 and one of the I = 0 states. This conclusion is not borne out by the present experimental findings and calls for detailed information about the angular distributions and the high energy behavior of the scattering crosssection to decide the issue. For the K-bar particles no such resonance states are found. For the pseudoscalar K particles it is concluded, in the absence of the "accidental cancellation' which characterizes the pion case, that the I = 1 phase-shift at threshold should be given correctly by the "Born" term corresponding to a repulsive interaction, in agreement with experiment. No definitive conclusion about the S-wave behavior of the K particles can really be drawn for reasons mentioned below. The main conclusion of the present work is that the dispersion theoretic analysis of nonforward scattering is capable of discriminating between a scalar and pseudoscalar K-meson on qualitative grounds alone; it strongly indicates that these mesons are pseudoscalar. (auth)
- Research Organization:
- Univ. Coll. of Science, Calcutta
- NSA Number:
- NSA-15-006640
- OSTI ID:
- 4126975
- Journal Information:
- Nuclear Phys., Journal Name: Nuclear Phys. Vol. Vol: 20
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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