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A FIELD THEORETICAL INVESTIGATION OF MULTIPLE MESON PRODUCTION. I. PION- NUCLEON COLLISIONS

Journal Article · · Progr. Theoret. Phys. (Kyoto)
DOI:https://doi.org/10.1143/PTP.23.137· OSTI ID:4185164
Multiple meson production in pion-nucleon collisions is investigated by field theory. By introducing the interaction time and assuming that the free hamiltonian can be approximately put as a C-number during the calculation of the effect due to the interaction hamiltonian for the interaction time-interval, it is shown that multiple meson prcduction is caused by the pseudoscalar type interaction. Numerical results are obtained for the relative cross sections of n pion prcduction, the angular distribution, the momentum distribution of final nucleons, etc. These results are compared with the experimental dath in Bev and cosmic ray energy regions. The covariant phase space integration is carried out with the saddle point method and its final expression is comparatively simple. The probability distribution of charge states in the statistical theory is derived by an approximate formula instead of the tedious combination of Clebsh- Gordan coefficients. (auth)
Research Organization:
Nara Medical Coll., Kashihara, Japan; Univ. of North Carolina, Chapel Hill
NSA Number:
NSA-14-018405
OSTI ID:
4185164
Journal Information:
Progr. Theoret. Phys. (Kyoto), Journal Name: Progr. Theoret. Phys. (Kyoto) Journal Issue: 1 Vol. Vol: 23; ISSN 0033-068X
Country of Publication:
Country unknown/Code not available
Language:
English

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