BETHE-SALPETER STRUCTURE OF THE NON-RELATIVISTIC THREE-NUCLEON PROBLEM
In the framework of potential theory. an exact integral equation for the off mass shell nucleon-deuteron scattering amplitude is derived. The kernel of this integral equation is free from one- and two-particle singularities in the total energy and can be expressed in terms of the deuteron vertex function and that part of the two-nucleon scattering amplitude having no one-particle singularities in the energy. This form of the integral equation utilizes a part of the Bethe-Salpeter (BS) structure of the elastic scattering amplitude. The inelastic nucleon-deuteron scattering amplitude, which can be expressed by terms already contained in the elastic scattering problem, is discussed. The inelastic scattering amplitude consists of two parts: the deuteron break-up off the mass shell and initial- and finalstate scattering cortributions, where the latter are again free from one- and two-particle singularities in the total energy. This BS structure of the elastic and inelastic nucleon-deuteron scattering amplitude serves as a basis for an approximation scheme satisfying full unitarity in the sector with nucleon number 3. These approximations are a unitary generalization of the impulse approximation. (auth)
- Research Organization:
- Universitat, Hamburg
- NSA Number:
- NSA-18-020930
- OSTI ID:
- 4007068
- Journal Information:
- Nuclear Physics (Netherlands) Divided into Nucl. Phys. A and Nucl. Phys. B, Vol. Vol: 52; Other Information: Orig. Receipt Date: 31-DEC-64
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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