One- and three-quasiparticle states of odd-mass Ni isotopes

Gambhir, Y. K. ; Raj, Ram ; Pal, M. K. (1967) One- and three-quasiparticle states of odd-mass Ni isotopes Physical Review, 162 (4). pp. 1139-1146. ISSN 0031-899X

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The modified Tamm-Dancoff approximation has been used to study the states of odd-mass Ni isotopes as the superposition of one- and three-quasiparticle states. The three-quasiparticle basic states are classified according to the well-known seniority scheme and are expressed in an equivalent second-quantized form. These three-quasiparticle states form an orthonormal and nonredundant set. The effect of the spurious 0+ two-quasiparticle state has also been removed from these basis wave functions. Several different kinds of two-body residual interaction have been used in the calculation. Fairly decent agreement is obtained in the energy spectra between our results and the exact shell-model results, using the effective interaction of Cohen et al. Various approximate methods, such as the perturbation theory and a phonon approximation, are discussed in the context of the present method. The effect of the ground-state correlation is also studied. The admixture of the three-quasiparticle states in the lowest few levels causes very little change in the magnetic moment, and the M1 transition rates calculated on the basis of a single-quasiparticle structure of these states. The E2 transition rate is fairly sensitive to the admixture and the type of interaction used.

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