THE IMAGINARY PART OF THE OPTICAL POTENTIAL. Report 735 (Final), Part II

Technical Report · Thu Nov 01 04:00:00 EST 1962

OSTI ID:4744478

Abdel-Bary, A F.M.; Hausman, H J

A study was undertaken to determine the radial dependence of the imaginary part of the optical potential. It is shown how the work of Gomes is related to the overall self-consistent procedure of Brueckner for calculating the imaginary part of the potential. An alternate method of calculation is introduced which involves a specific knowledge of the wavefunctions of the individual particles of the nucleus. An integration was performed over angular variables to obtain an explicit expression for the nuclear potential in terms of the radial wave functions and in terms of the t-matrix for the interaction of two nucleons. It is shown that by selecting as the specific analytic form of the radial wavefunctions for the calculations the harmonic oscillator wavefunctions of the shell model, the integration can be simplified to a one-dimensional numerical integral over tabulated and elementary functions. In order to compare the results for the shape of the imaginary part of the optical potential with the shape of the nucleus, the nuclear densities which result from the use of harmonic oscillator wavefunctions were calculated. The results for the imaginary part of the optical potential are given for O/sup 16/ and Ca/sup 40/ for incident neutrons of energy 6.5 Mev. (M.C.G.)

• Research Organization: Ohio State Univ. Research Foundation, Columbus
• NSA Number: NSA-17-007143
• OSTI ID: 4744478
• Report Number(s): TID-17357(Pt.II)
• Country of Publication: United States
• Language: English

Related Subjects

ANGULAR DISTRIBUTION
BRUECKNER MODEL
CALCIUM 44
DENSITY
ENERGY LEVELS
INTERACTIONS
MATRICES
NEUTRONS
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEONS
OPTICAL MODEL
OXYGEN 16
PHYSICS
QUANTUM MECHANICS
SHELL MODELS