### Abstract

Exact configuration-mixing calculations have been done for Ni58 and Ni60, which have two and four neutrons, respectively, in unfilled shell-model orbitals. Several different types of effective potentials have been used; they are: (1) the surface-delta interaction, (2) Serber exchange, (3) a potential similar to the Rosenfeld mixture, (4) an approximate reaction matrix calculated with the Hamada-Johnston two-nucleon potential, and (5) Tabakin's nonlocal separable two-nucleon potential. These results are compared with those obtained by using the two-body matrix elements given by Cohen et al. (EIC) and by Auerbach (EIA). The overlap of the BCS projected wave function with the exact shell-model ground-state wave function is calculated. The odd-even mass difference obtained from pairing theory using these potentials is compared with the experimental values. It is found that the first three potentials give nearly the same quantitative results as that calculated with EIC and EIA, while the Hamada-Johnston and Tabakin potentials are rather weak.

Original language | English |
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Pages (from-to) | 1125-1131 |

Number of pages | 7 |

Journal | Physical Review |

Volume | 161 |

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*,

*161*(4), 1125-1131. https://doi.org/10.1103/PhysRev.161.1125

}

*Physical Review*, vol. 161, no. 4, pp. 1125-1131. https://doi.org/10.1103/PhysRev.161.1125

**Exact shell-model calculation of Ni58 and Ni60.** / Gambhir, Y. K.; Raj, Ram.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Exact shell-model calculation of Ni58 and Ni60

AU - Gambhir, Y. K.

AU - Raj, Ram

PY - 1967

Y1 - 1967

N2 - Exact configuration-mixing calculations have been done for Ni58 and Ni60, which have two and four neutrons, respectively, in unfilled shell-model orbitals. Several different types of effective potentials have been used; they are: (1) the surface-delta interaction, (2) Serber exchange, (3) a potential similar to the Rosenfeld mixture, (4) an approximate reaction matrix calculated with the Hamada-Johnston two-nucleon potential, and (5) Tabakin's nonlocal separable two-nucleon potential. These results are compared with those obtained by using the two-body matrix elements given by Cohen et al. (EIC) and by Auerbach (EIA). The overlap of the BCS projected wave function with the exact shell-model ground-state wave function is calculated. The odd-even mass difference obtained from pairing theory using these potentials is compared with the experimental values. It is found that the first three potentials give nearly the same quantitative results as that calculated with EIC and EIA, while the Hamada-Johnston and Tabakin potentials are rather weak.

AB - Exact configuration-mixing calculations have been done for Ni58 and Ni60, which have two and four neutrons, respectively, in unfilled shell-model orbitals. Several different types of effective potentials have been used; they are: (1) the surface-delta interaction, (2) Serber exchange, (3) a potential similar to the Rosenfeld mixture, (4) an approximate reaction matrix calculated with the Hamada-Johnston two-nucleon potential, and (5) Tabakin's nonlocal separable two-nucleon potential. These results are compared with those obtained by using the two-body matrix elements given by Cohen et al. (EIC) and by Auerbach (EIA). The overlap of the BCS projected wave function with the exact shell-model ground-state wave function is calculated. The odd-even mass difference obtained from pairing theory using these potentials is compared with the experimental values. It is found that the first three potentials give nearly the same quantitative results as that calculated with EIC and EIA, while the Hamada-Johnston and Tabakin potentials are rather weak.

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U2 - 10.1103/PhysRev.161.1125

DO - 10.1103/PhysRev.161.1125

M3 - Article

AN - SCOPUS:36049055178

VL - 161

SP - 1125

EP - 1131

JO - Physical Review

JF - Physical Review

SN - 0031-899X

IS - 4

ER -