SCATTERING FROM A SPHERICAL DEFORMABLE NUCLEUS

Technical Report · Wed Aug 01 04:00:00 EDT 1962

OSTI ID:4704359

Willis, J G

The scattering of a spinless neutral particle from a spherical deformable nucleus is considered in detail. The nucleus is assumed to perform collective harmonic monopole vibrations that allow direct inelastic scattering through an optical model interaction. Numerical solutions of the coupled Schrodinger equations are obtained. Cross sections for exciting states involving single and double phonon excitations are calculated and compared with the predictions of adiabatic, distorted wave, and plane wave Born approximations. The adiabatic approximation is able to account for the relative phases of the elastic and inelastic angular distributions although the magnitudes of the cross sections are larger at large angles than those given by solving the coupled equations. It is demonstrated that while the distorted wave approximation is valid for single excitation processes it fails to give even a qualitatively correct result when applied to inelastic scattering involving double excitation uniess plane wave Born approximation is also valid. (auth)

• Research Organization: Washington. Univ., Seattle
• NSA Number: NSA-17-024400
• OSTI ID: 4704359
• Report Number(s): TID-16301
• Country of Publication: United States
• Language: English

Related Subjects

ADIABATIC APPROXIMATION
ANGULAR DISTRIBUTION
COLLECTIVE MODEL
CROSS SECTIONS
DEFORMATION
DIFFERENTIAL EQUATIONS
DWBA APPROXIMATION
ELEMENTARY PARTICLES
EXCITATION
LATTICES
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEI
NUMERICALS
OPTICAL MODEL
PERTURBATION THEORY
PHONONS
PHYSICS
QUANTUM MECHANICS
REACTION KINETICS
SCATTERING
SCHROEDINGER EQUATION
SOUND
VIBRATIONS