SPHERICAL NUCLEI WITH SIMPLE RESIDUAL FORCES. Technical Report No. 11. Parts I and II

Technical Report · Tue Apr 16 00:00:00 EST 1963

OSTI ID:4704491

Kisslinger, L S; Sorensen, R A

A detailed study on nuclei from Ni to Pb is carried out to determine the extert to which a method utilizing a nuclear model in which particles interact with a simple twobody force can be applied to spherical nuclei. The pairing hamiltonian is diagonalized by use of the quasi-particle transformation for neutrons and protons separately, and the neutron-proton short range force is discussed. The quasi-particle random phase approximation as applied to the quadrupole force is then outlined, and the results are compared with those of adiabatic perturbation theory. The results are compared with experimental energy level systematics, and the systematic binding energy data are examined. The static electromagnetic moments of the ground state and some excited states of nuclei are considered. Electromagnetic transition rates and systematic data on beta decay are also treated. Appendices give expressions for quasi-particles vector coupled to form tensor operators with the usual phases. Matrix elements used to calculate the magnetic dipole moments are glven along with tables for the solution of pairing equations for the lowest few wave functions resulting from matrix-diagonalization of an odd-A nucleon irteracting with a phonon. Magnetic moments of odd-neutron and odd-proton nuclei, quadrupole moments of odd-proton and odd-neutron nuclei; gyromagnetic ratios for phonons, B(E2) values for ground state transitions in even-even nuclei, and B(E2)/sub 0+ yields 2/, cross-over rates are listed. Plots show energy levels of isotopes, coupling parameters, reduction factors for transitions, and allowed transitions for various nuclei among other things. 36 references. (D.C.W.)

• Research Organization: Western Reserve Univ., Cleveland; Carnegie Inst. of Tech., Pittsburgh
• DOE Contract Number: NONR-760(15) NR-012-202
• NSA Number: NSA-17-024381
• OSTI ID: 4704491
• Report Number(s): AD-403411
• Resource Relation: Other Information: Orig. Receipt Date: 31-DEC-63
• Country of Publication: United States
• Language: English

Related Subjects

PHYSICS
BETA DECAY
BIBLIOGRAPHY
BINDING ENERGY
ELECTRIC MOMENTS
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
GYROMAGNETIC RATIO
INTERACTIONS
ISOTOPES
LATTICES
LEAD
MAGNETIC MOMENTS
MATRICES
NEUTRONS
NICKEL
NUCLEAR MODELS
NUCLEAR STRUCTURE
NUCLEI
NUCLEONS
PERTURBATION THEORY
PROTONS
QUANTUM MECHANICS
SOUND
SPHERES
SPIN
VECTORS