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THE INTEGRAL EQUATION FOR THE LOW ENERGY $pi$ N-SCATTERING

Technical Report ·
OSTI ID:4099714

A set of coupled integral equations for the low-energy pion-nucleon S- and P-wave scattering amplitudes is derived by using the forward and backward scattering dispersion relations only together with the unitary condition. The contribution from the cut in the unphysical region is taken into account without using analytic continuation by the Legendre expansion. The N-N annihilation reaction amplitudes appear in the integral equations and represent explicitly the effect of the pi pi -interaction. (auth)

Research Organization:
Joint Inst. for Nuclear Research, Dubna, U.S.S.R. Lab. of Theoretical Physics
NSA Number:
NSA-15-007952
OSTI ID:
4099714
Report Number(s):
JINR-D-564
Country of Publication:
USSR
Language:
English

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