Dirac theory of nucleon-nucleus collective excitation

Journal Article · Thu Dec 01 04:00:00 EST 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.28.2392· OSTI ID:5374203

Piekarewicz, J; Amado, R D; Sparrow, D A; McNeil, J A

We obtain the relativistic distorted wave impulse approximation amplitude for nucleon-nucleus collective transitions using an eikonal formalism. The effect of the Darwin term is to suppress the upper-to-upper contribution and enhance the lower-to-lower compared with a nonrelativistic treatment. In collective transitions these combine in a way that results in a transition density proportional to the derivative of the total Dirac distortion including quadratic and spin-orbit pieces. This leads to the same phenomenologically successful relations between elastic and inelastic amplitudes as in the Schroedinger description for collective transitions and promises a better treatment of noncollective transitions. We comment on the vanishing of P-A in this treatment.

• Research Organization: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104
• OSTI ID: 5374203
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 28:6; 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
COLLECTIVE MODEL
COUPLING
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
DISTORTED WAVE THEORY
EIKONAL APPROXIMATION
ELASTIC SCATTERING
EQUATIONS
HADRON REACTIONS
IMPULSE APPROXIMATION
INELASTIC SCATTERING
INTERMEDIATE COUPLING
L-S COUPLING
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEON REACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
SCATTERING
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
WAVE EQUATIONS