Exact multiple scattering theory of two-nucleus collisions including the Pauli principle

Journal Article · Wed Jul 01 04:00:00 EDT 1981 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.24.29· OSTI ID:6437915

Gurvitz, S A

Exact equations for two-nucleus scattering are derived in which the effects of the Pauli principle are fully included. Our method exploits a modified equation for the scattering of two identical nucleons, which is obtained at the beginning. Considering proton-nucleus scattering we found that the resulting amplitude has two components, one resembling a multiple scattering series for distinguishable particles, and the other a distorted (A-1) nucleon cluster exchange. For elastic pA scattering the multiple scattering amplitude is found in the form of an optical potential expansion. We show that the Kerman-McManus-Thaler theory of the optical potential could be easily modified to include the effects of antisymmetrization of the projectile with the target nucleons. Nucleus-nucleus scattering is studied first for distinguishable target and beam nucleus. Afterwards the Pauli principle is included, where only the case of deuteron-nucleus scattering is discussed in detail. The resulting amplitude has four components. Two of them correspond to modified multiple scattering expansions and the others are distorted (A-1)- and (A-2)- nucleon cluster exchange. The result for d-A scattering is extended to the general case of nucleus-nucleus scattering. The equations are simple to use and as such constitute an improvement over existing schemes.

• Research Organization: Department of Physics, Weizmann Institute, Rehovot, Israel
• OSTI ID: 6437915
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 24:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
BARYON REACTIONS
CHARGED-PARTICLE REACTIONS
CLUSTER MODEL
DEUTERON REACTIONS
FUNCTIONS
GREEN FUNCTION
HADRON REACTIONS
MATHEMATICAL MODELS
MULTIPLE SCATTERING
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEON REACTIONS
OPTICAL MODELS
PAULI PRINCIPLE
PROTON REACTIONS
SCATTERING
SCATTERING AMPLITUDES