Antisymmetrization and core excitation in deuteron--nucleus scattering

Journal Article · Mon Sep 01 00:00:00 EDT 1975 · Ann. Phys. (N.Y.), v. 93, no. 1, pp. 369-401

DOI:https://doi.org/10.1016/0003-4916(75)90215-8· OSTI ID:4080816

Pong, W S; Austern, N

The effects of antisymmetrization in deuteron--nucleus scattering are studied under the assumption that the target is unexcited during scattering. The effective Hamiltonian that governs the motion of the nucleons in the deuteron replaces the free n--p interaction in the deuteron by one that does not scatter the nucleons into occupied states of the target. This modified n--p interaction is constructed by explicit projection of the free n--p interaction onto unoccupied states of the target, and the projection operators used are expressed in terms of single-particle density matrices of the target. The antisymmetrization correction to the deuteron--nucleus optical potential is calculated in configuration space. By applying the local density approximation to the density matrices, and using the short-range character of the free n--p interaction, this correction is expressed as a product of a local factor proportional to the nuclear density and a short-range nonlocal factor with a range of nonlocality of about 0.5 fm in the nuclear interior. An energy- dependent, local potential equivalent to the nonlocal correction is obtained using the local W.K.B. approximation. The real part of the local equivalent potential has a shape similar to that of the nuclear density, and gives a 10% reduction to the real part of the deuteron optical potential at energies below about 20 MeV. The imaginary part of the local equivalent potential is negative and peaked at the nuclear surface. It also gives appreciable correction to the optical potential. The effective interaction caused by virtual target excitations is studied; three-body interactions are included. (AIP)

• Research Organization: Department of Physics, University of Pittsburgh, Pisstburg, Pennsylvania 15260
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-021769
• OSTI ID: 4080816
• Journal Information: Ann. Phys. (N.Y.), v. 93, no. 1, pp. 369-401, Other Information: Orig. Receipt Date: 30-JUN-76
• Country of Publication: United States
• Language: English

Related Subjects

N69230* -Physics (Nuclear)-Nuclear Theory-Nuclear Reactions & Scattering
643503*
*DEUTERON REACTIONS- ELASTIC SCATTERING
CORRECTIONS
EXCHANGE INTERACTIONS
EXCITATION
HAMILTONIANS
NUCLEAR CORES
NUCLEAR POTENTIAL
NUCLEAR REACTION KINETICS
NUCLEAR STRUCTURE
NUCLEI
OPTICAL MODELS
VIRTUAL STATES
WKB APPROXIMATION