The Love-Hate Relationship Between the Shell Model and Cluster Models

Abstract

We adopt a personal approach here reviewing several calculations over the years in which we have experienced confrontations between cluster models and the shell model. In previous cluster conferences we have noted that cluster models go hand in hand with Skyrme Hartee-Fock calculations in describing states which cannot easily, if at all, be handled by the shell model. These are the highly deformed (many particle - many hole) intruder states, linear chain states e.t.c. In the present work we will consider several topics; the quadrupole moment of ${}^6$Li, the non-existence of low lying intruders in ${}^8$Be, and then jumping to the $f_{7/2}$ shell, we discuss the two-faceted nature of the nuclei - sometimes displaying shell model properties, other times cluster properties.

12 pages 7/17/00 Added paragraph and references

References in corpus (5)

• Excited States in 52Fe and the Origin of the Yrast Trap at I=12+
• Roles of proton-neutron interactions in alpha-like four-nucleon correlations
• The Question of Low-Lying Intruder States in ${}^{8}Be$ and Neighboring Nuclei
• Fermionic Symmetries: Extension of the two to one Relationship Between the Spectra of Even-Even and Neighbouring Odd mass Nuclei
• A Linear Approximation for the Excitation Energies of single and double analog states in the f_{7/2} shell

Cited by in corpus (10)

• Overview of Neutron-Proton Pairing
• Collective-coupling analysis of spectra of mass-7 isobars: ^7He, ^7Li, ^7Be, ^7B
• Symplectic group structure of the 48Cr, 88Ru, and 92Pd ground states
• Cooperation of anti-aligning and aligning shell-model forces for N=Z
• Nuclear masses near N = Z from Nilsson-Strutinsky calculations with pairing corrections beyond BCS from an isospin-conserving pairing force
• The (2j-1) rule with other interactions
• Symmetries in the \bm{g_{9/2}} shell
• Odd J states of isospin zero and one for 4 nucleon systems: near degeneracies
• Symmetry energies for $A=24$ and $48$ and the USD and KB3 shell model Hamiltonians
• Schematic Interactions with Many Degeneracies