Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

SHORT RANGE FORCES AND NUCLEAR SHELL THEORY. MATRIX ELEMENTS IN L S COUPLING

Technical Report ·
OSTI ID:4257883

A procedure is developed for obtaining in nuclear shell theory the matrix elements associated with shontrange interactions between nucleons. It is shown that potentials of arbitrary range, both central and spin dependent, can be developed in terms of a series of velocity-dependent potentials in increasing powers of the momentum, but all of zero range. All the matrix elements are obtained for two nucleons in the same shell and in LS coupling, up to terms containing the first moment of the potential. The matrix element is compared for central, spin-orbit, and tensor forces. (W.D.M.)

Research Organization:
Univ. de Mexico; Inst. Nacional de la Investigacion Cientifica, Mexico D.F.
NSA Number:
NSA-13-007031
OSTI ID:
4257883
Report Number(s):
A/CONF.15/P/1087
Country of Publication:
Country unknown/Code not available
Language:
English

Similar Records

INVARIANT IMBEDDING AND NEUTRON TRANSPORT THEORY. II. FUNCTIONAL EQUATIONS
Journal Article · Mon Sep 01 00:00:00 EDT 1958 · J. Math. and Mech. · OSTI ID:4299624

VELOCITY-DEPENDENT FORCES AND NUCLEAR STRUCTURE. II. SPIN-DEPENDENT FORCES
Journal Article · Fri Jan 31 23:00:00 EST 1958 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D · OSTI ID:4336726

Fundamental theory of the half-shell t-matrix for nucleon-nucleon scattering
Journal Article · Fri Sep 10 00:00:00 EDT 1976 · Ann. Phys. (N.Y.); (United States) · OSTI ID:7134699