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

E. Gmitrová, M. Gmitro, Y. K. Gambhir

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 languageEnglish
Pages (from-to)1239-1249
Number of pages11
JournalPhysical Review C
Volume4
Issue number4
DOIs
Publication statusPublished - 1971

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wave functions
ground state
approximation
nuclei
protons
configurations
occupation
neutrons
matrices

All Science Journal Classification (ASJC) codes

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

Cite this

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title = "Structure of the random-phase-approximation ground-state wave functions of Ni56 and Ca48",
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.",
author = "E. Gmitrov{\'a} and M. Gmitro and Gambhir, {Y. K.}",
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Structure of the random-phase-approximation ground-state wave functions of Ni56 and Ca48. / Gmitrová, E.; Gmitro, M.; Gambhir, Y. K.

In: Physical Review C, Vol. 4, No. 4, 1971, p. 1239-1249.

Research output: Contribution to journalArticle

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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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