LOW ENERGY OPTICAL POTENTIALS FOR NEUTRON AND $lambda$-PARTICLE SCATTERING FROM HEAVY NUCLEI

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

OSTI ID:4751648

Ware, W E

The problem of a neutron with momentum greater than the Fermi momentum, interacting with nucleons in a Fermi distribution is treated. The Schroedinger equation describing the relative motion of the two-body problem was derived and found to be identical with the Bethe-Goldstone equation, which is the corresponding equation when both members of the interacting pair belong to the Fermi distribution. It is shown that the vanishing or non-vanishing of the two- body scattering amplitude depends critically upon the direction of the final relative momentum vector when one particle has momentum k > k/sub F/, whereas the scattering amplitude vanishes for all directions of this vector when k < k/sub F/. The single-particle potential for a neutron with laboratory energy greater than zero, moving through nuclear matter, was calculated and the resuit applied to finite nuclei in the Fermi- Thomas approximation. The optical potential thus found was essentially energy independent and has about the depth indicated by phenomenological analyses. The analogous problem of a LAMBDA -particle interacting with nucleons in a Fermi distribution is also considered. The two- body Schroedinger equation was derived and found to be different from the Bethe- Goldstone equation. The scattering amplitude arising from this equation is shown to be non-zero only for very particular directions of the final relative momentum vector. A partial-wave analysis of this two-body equation was made, and it was found that orbital angular-momentum eigenstates do not exist but instead, all partial waves are mixed together. The single particle potential for a LAMBDA - particle with energy greater than zero, moving through nuclear matter, was calculated and extended to finite nuclei with the Fermi-Thomas approximation. The depth of the LAMBDA -nucleus optical potential was essentially energy independent in the range zero to twenty Mev but the depth depends critically on the range of the LAMBDA -nucleon potential, which is not a well known quantity. (Dissertation abstr., 23: No. 16, Dec. 1962) Neutron Physics

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-17-013468
• OSTI ID: 4751648
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ATOMS
BETA DECAY
BETHE-GOLDSTONE EQUATION
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ENERGY
ENERGY LEVELS
FERMI INTERACTION
FERMIONS
FIELD THEORY
INTERACTIONS
LAMBDA PARTICLES
MANY BODY PROBLEM
MOMENTUM
MOTION
NEUTRONS
NUCLEAR MODELS
NUCLEI
OPTICAL MODEL
ORBITS
PHYSICS
QUANTUM MECHANICS
SCATTERING
SCHROEDINGER EQUATION
STATISTICS
THOMAS-FERMI MODEL
VECTORS
WEAK INTERACTIONS