THE IMAGINARY PART OF THE OPTICAL POTENTIAL

Thesis/Dissertation · Mon Jan 01 04:00:00 EST 1962

OSTI ID:4692747

Abdel-Bary, A F.M.

An explicit expression for the nuclear potential in terms of the radial wavefunctions and of the t-matrix for the interaction of two nucleons is obtained. The imaginary part of the nucleon-nucleus optical potential is calculated as a function of the distance from the center of the nucleus for 6.5-Mev neutrons incident upon O/sup 16/ and Ca/sup 40/. The problem is treated throughout in terms of the nuclear wavefunctions obtained from a harmonicoscillator potential, the free parameter of the potential being chosen to make the root-mean-square radius of the nuclear-density distribution agree with that obtained by electron- scattering experiments. The Pauli principle is effected by projecting, out of the possible final states for a scattered particle, those states occupied by the particles of which the nucleus is composed. The procedure is general and can be applied for low energy neutrons incident upon any nucleus. The curves for the imaginary part of the optical potential and for the nuclear density are plotted for comparison in cases of O/sup 16/ and Ca/sup 40/. Calculations indicate that the depth of the imaginary part of the optical potential is not given by a constant times the nuclear density, but increases as we approach the edge of the nucleus. (M.P.G.)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-17-022663
• OSTI ID: 4692747
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CALCIUM 40
ENERGY LEVELS
INTERACTIONS
MATRICES
NEUTRON BEAMS
NUCLEAR MODELS
NUCLEONS
NUMERICALS
OPTICAL MODEL
OXYGEN 16
PHYSICS
QUANTUM MECHANICS
S-MATRIX
SCATTERING
T-MATRIX