### Abstract

Conventional random-phase-approximation (RPA) and corrected RPA (MRPA) calculations are carried out for Ni56 and Ca48 nuclei, using the Tabakin potential without and with secondorder Born corrections. The obtained ground-state wave functions are analyzed. The probability for the doubly-closed-shell (zero-particle, zero-hole) configurations is found to be small for Ni56 [18% (RPA), 38% (MRPA)]. Similar numbers for the Ca48 nucleus are, 35% RPA, 56% (80% for protons and 69% for neutrons) MRPA. In the case of Ni56, the T=0 part contributes 95% to the shell breaking. The occupation numbers for single-particle and single-hole states are small except for the 1f72 hole and 1f52 particle states in Ni56, and for the 1d32 proton-hole state in Ca48. It is found that the conventional RPA using antisymmetrized matrix elements overestimates the calculated quantities of the ground state, roughly by a factor of 2. The effect of truncating the configuration space is also studied quantitatively. The results are compared with earlier investigations.

Original language | English |
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Pages (from-to) | 1239-1249 |

Number of pages | 11 |

Journal | Physical Review C |

Volume | 4 |

Issue number | 4 |

DOIs | |

Publication status | Published - 1971 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C*,

*4*(4), 1239-1249. https://doi.org/10.1103/PhysRevC.4.1239

}

*Physical Review C*, vol. 4, no. 4, pp. 1239-1249. https://doi.org/10.1103/PhysRevC.4.1239

**Structure of the random-phase-approximation ground-state wave functions of Ni56 and Ca48.** / Gmitrová, E.; Gmitro, M.; Gambhir, Y. K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Structure of the random-phase-approximation ground-state wave functions of Ni56 and Ca48

AU - Gmitrová, E.

AU - Gmitro, M.

AU - Gambhir, Y. K.

PY - 1971

Y1 - 1971

N2 - Conventional random-phase-approximation (RPA) and corrected RPA (MRPA) calculations are carried out for Ni56 and Ca48 nuclei, using the Tabakin potential without and with secondorder Born corrections. The obtained ground-state wave functions are analyzed. The probability for the doubly-closed-shell (zero-particle, zero-hole) configurations is found to be small for Ni56 [18% (RPA), 38% (MRPA)]. Similar numbers for the Ca48 nucleus are, 35% RPA, 56% (80% for protons and 69% for neutrons) MRPA. In the case of Ni56, the T=0 part contributes 95% to the shell breaking. The occupation numbers for single-particle and single-hole states are small except for the 1f72 hole and 1f52 particle states in Ni56, and for the 1d32 proton-hole state in Ca48. It is found that the conventional RPA using antisymmetrized matrix elements overestimates the calculated quantities of the ground state, roughly by a factor of 2. The effect of truncating the configuration space is also studied quantitatively. The results are compared with earlier investigations.

AB - Conventional random-phase-approximation (RPA) and corrected RPA (MRPA) calculations are carried out for Ni56 and Ca48 nuclei, using the Tabakin potential without and with secondorder Born corrections. The obtained ground-state wave functions are analyzed. The probability for the doubly-closed-shell (zero-particle, zero-hole) configurations is found to be small for Ni56 [18% (RPA), 38% (MRPA)]. Similar numbers for the Ca48 nucleus are, 35% RPA, 56% (80% for protons and 69% for neutrons) MRPA. In the case of Ni56, the T=0 part contributes 95% to the shell breaking. The occupation numbers for single-particle and single-hole states are small except for the 1f72 hole and 1f52 particle states in Ni56, and for the 1d32 proton-hole state in Ca48. It is found that the conventional RPA using antisymmetrized matrix elements overestimates the calculated quantities of the ground state, roughly by a factor of 2. The effect of truncating the configuration space is also studied quantitatively. The results are compared with earlier investigations.

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U2 - 10.1103/PhysRevC.4.1239

DO - 10.1103/PhysRevC.4.1239

M3 - Article

VL - 4

SP - 1239

EP - 1249

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 4

ER -