### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 1139-1146 |

Number of pages | 8 |

Journal | Physical Review |

Volume | 162 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1967 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Physical Review*,

*162*(4), 1139-1146. https://doi.org/10.1103/PhysRev.162.1139

}

*Physical Review*, vol. 162, no. 4, pp. 1139-1146. https://doi.org/10.1103/PhysRev.162.1139

**One- and three-quasiparticle states of odd-mass Ni isotopes.** / Gambhir, Y. K.; Raj, Ram; Pal, M. K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - One- and three-quasiparticle states of odd-mass Ni isotopes

AU - Gambhir, Y. K.

AU - Raj, Ram

AU - Pal, M. K.

PY - 1967

Y1 - 1967

N2 - 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.

AB - 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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U2 - 10.1103/PhysRev.162.1139

DO - 10.1103/PhysRev.162.1139

M3 - Article

VL - 162

SP - 1139

EP - 1146

JO - Physical Review

JF - Physical Review

SN - 0031-899X

IS - 4

ER -