Some problems in nuclear reaction theory

Thesis/Dissertation · Tue Jan 01 00:00:00 EST 1980

OSTI ID:5162303

Mughrabi, B A

Firstly it has been found that the transfer of particles in a nuclear reaction does not always proceed directly but may involve either the inelastic excitation of the target nucleus or the inelastic excitation of the residual nucleus or both. Such multistep processes can be handled by the coupled channels Born approximation formalism. Codes exist at Minnesota for such calculations and involved solving homogeneous and inhomogeneous differential equations and matching to the appropriate boundary conditions. An initial study of interest is the /sup 19/F(/sup 3/He,d)/sup 20/Ne reaction to the 4+ state of /sup 20/Ne. Different analyses have given significantly different results for the relative importance of one- and multi-step processes. I hope to resolve this question since it yields information on the g/sub 9/2/ admixtures in the (sd) shell which is otherwise hard to come by. Secondly we propose to calculate from first principles (i.e., from the nucleon-nucleon interaction) the complex optical model potential needed to describe the elastic scattering of nucleons from nuclei. An approach based on nuclear matter work has recently been used with some success, but we plan a direct calculation. The first step is to calculate the complex reaction matrix starting from the nucleon-nucleon interactions; this will be carried out by collaboration at Stony Brook. Using these matrix elements I shall calculate the optical potential for nucleon scattering on /sup 16/O. The potential will be non-local and therefore to obtain the elastic scattering cross section on integro-differential equation must be solved and the wave function matched to the appropriate boundary conditions.

• Research Organization: Minnesota Univ., Minneapolis (USA)
• OSTI ID: 5162303
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
FLUORINE 19 TARGET
HELIUM 3 REACTIONS
KNOCK-ON REACTIONS
NUCLEON REACTIONS
SCATTERING
OXYGEN 16 TARGET
COUPLED CHANNEL BORN APPROXIMATION
DEUTERONS
NEON 20
NUCLEON-NUCLEON INTERACTIONS
OPTICAL MODELS
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
BORN APPROXIMATION
CHARGED PARTICLES
CHARGED-PARTICLE REACTIONS
DIRECT REACTIONS
EVEN-EVEN NUCLEI
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
ISOTOPES
LIGHT NUCLEI
NEON ISOTOPES
NUCLEAR REACTIONS
NUCLEI
PARTICLE INTERACTIONS
STABLE ISOTOPES
TARGETS
651415* - Nuclear Properties & Reactions
A=20-38
Theoretical- Nuclear Reactions & Scattering- (-1987)
651315 - Nuclear Properties & Reactions
A=6-19
Theoretical- Nuclear Reactions & Scattering- (-1987)