THE FIELD-THEORETICAL DEFINITION OF NUCLEAR POTENTIAL. PART II
The results of Part I are extended to include the exchange forces introduced by charged pions. It is shown that the scattering amplitude for a proton and neutron between which acts a potential with an exchange part, is related by symmetrization to that for the scattering of nonidentical particles through an isotopic spin dependent potential. This enables the amplitude to be split into two parts, each of which obeys a Khuri-type dispersion relation if the appropriate momentum transfer is kept fixed. The method allows also the generalization of the Mandelstam representation to the case where exchange forces are present. A similar separation of the field-theoretic amplitude is possible into parts which satisfy one-dimensional dispersion relations without the pion singularities for negative energies. A comparison of the dispersion relations and the unitarity condition for the field theoretic amplitudes with those of the potential theory lead to a definition of the potential (which is partly direct, partly exchange) which is capable of simulating the field-theoretic amplitude for energies sufficiently below meson production threshold. (auth)
- Research Organization:
- European Organization for Nuclear Research, Geneva
- NSA Number:
- NSA-14-011010
- OSTI ID:
- 4184129
- Journal Information:
- Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B, Journal Name: Nuovo Cimento (Italy) Divided into Nuovo Cimento A and Nuovo Cimento B Vol. Vol: (10) 15; ISSN NUCIA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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