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Dispersion relations for pion-deuteron scattering. II

Technical Report ·
OSTI ID:4310930
The dispersion relation for the elastic spin-flip forward scattering of pions by deuterons is derived and compared with the experimental data by means of Chew's impulse approximation. Unlike the former treated case of the elastic forward scattering without spin-flip the contribution from the non-observable region in the dispersion relation is now large and allows a determination of the pion-nucleon coupling constant. Its value is in accordance with that following from dispersion relations for pion scattering on free nucleons. The investigations show the practical possibility for treating bound states in the framework of the theory of dispersion relations, for which, however, it is necessary to perform explicitly the analytic continuation because of the divengences appearing in the matrix elements of the non-observable region. (auth)
Research Organization:
Joint Inst. for Nuclear Research, Moscow (USSR). Lab. of Theoretical Physics
NSA Number:
NSA-12-014305
OSTI ID:
4310930
Report Number(s):
NP--6859
Country of Publication:
JINR
Language:
English

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