Odd- J Pairing in Nuclei

Abstract

We point out a simplicity that arises when we use an interaction in which only an energy with odd J is non-zero. The emphasis is on J= J_{max} and in particular J=9+ in the g_{9/2} shell. It is noted that high overlaps can be deceptive. In many cases a single set of U9-j coefficients gives either an exact or a very good approximation to the wave function of a yrast state.

References in corpus (8)

• Evidence for a spin-aligned neutron-proton paired phase from the level structure of ${}^{92}$Pd
• Spin-aligned neutron-proton pair mode in atomic nuclei
• Spin-aligned neutron-proton pairs in $N=Z$ nuclei
• Multistep shell model description of spin-aligned neutron-proton pair coupling
• g9/2 nuclei and neutron-proton interaction
• Semiclassical Analysis of the Wigner $9J$-Symbol with Small and Large Angular Momenta
• The (2j-1) rule with other interactions
• Wave functions in the f_{7/2} shell, for educational purposes and ideas

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• J=0 T=1 Pairing Interaction Selection Rules
• The scissors mode from a different perspective
• Generic features of the neutron-proton interaction
• A geometry for the shell model
• Asymptotics of the 3j and 9j Coefficients
• Number of spin-J states and odd-even staggering for identical particles in a single-j shell
• More on Asymptotic behaviors of 9j Coefficients
• The large j limit for certain 9-j symbols-power law behaviour
• J=0, J=J_{max} and quadrupole pairing
• Odd J states of isospin zero and one for 4 nucleon systems: near degeneracies
• A critical look at the vibrational model for ^{92}Pd and comparison with ^{48}Cr
• Shell Model Symmetries-Honoring Franco Iachello
• More on Odd-J Pairing in Nuclei