NUCLEAR DEFORMATION IN THE SPHEROIDAL SHELL MODEL

Journal Article · Tue Nov 15 04:00:00 EST 1960 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.120.1298· OSTI ID:4119862

Lee, K; Inglis, D R

In the usual shell-model procedure, the effective Hamiltonian contains only half the sum of the shell-model potentials of nucleons in order to avoid counting average pairwise interactions twice. Because of the factor onehalf, the nondiagonal elements of this Hamiltonian in the harmonic oscillator representation do not vanish, but they were neglected in previous calculations of nuclear deformations by Nilsson and others, in which total shell-model energy at constant volume is minimized. It is shown that in typical cases (without taking spin-orbit coupling into account) the equilibrium deformation is unaltered in second and third order and that the fourth-order modification arising from the nondiagonal elements is very small. The relation of these nondiagonal elements to those of the pairwise interactions is also discussed. (auth)

• Research Organization: Argonne National Lab., Ill.
• NSA Number: NSA-15-003469
• OSTI ID: 4119862
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 120; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

COLLECTIVE MODEL
DEFORMATION
ENERGY
INTERACTIONS
NILSSON- MOTTELSON MODEL
NUCLEAR MODELS
NUCLEONS
PAIR PRODUCTION
PHYSICS
SHELL MODELS