### Abstract

By employing the angular momentum projection technique, we propose a method to reliably calculate the quantum spectrum of nuclear collective rotation. The method utilizes several cranked mean-field states with different rotational frequencies, which are superposed in the sense of configuration mixing or the generator coordinate method after performing the projection; the idea was originally suggested by Peierls-Thouless in 1962 [Nucl. Phys. 38, 154 (1962)]. It is found that the spectrum as a result of the configuration mixing does not essentially depend on chosen sets of cranking frequencies if the number of mean-field states utilized in the mixing is larger than a certain small value. We apply this method to three examples employing the Gogny D1S effective interaction and show that it is useful to study high-spin rotational bands by means of the angular momentum projection method.

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

Article number | 063D02 |

Journal | Progress of Theoretical and Experimental Physics |

Volume | 2015 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jan 1 2015 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical and Experimental Physics*,

*2015*(6), [063D02]. https://doi.org/10.1093/ptep/ptv073

**Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands.** / Shimada, Mitsuhiro; Tagami, Shingo; Shimizu, Yoshifumi R.

Research output: Contribution to journal › Article

*Progress of Theoretical and Experimental Physics*, vol. 2015, no. 6, 063D02. https://doi.org/10.1093/ptep/ptv073

}

TY - JOUR

T1 - Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands

AU - Shimada, Mitsuhiro

AU - Tagami, Shingo

AU - Shimizu, Yoshifumi R.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - By employing the angular momentum projection technique, we propose a method to reliably calculate the quantum spectrum of nuclear collective rotation. The method utilizes several cranked mean-field states with different rotational frequencies, which are superposed in the sense of configuration mixing or the generator coordinate method after performing the projection; the idea was originally suggested by Peierls-Thouless in 1962 [Nucl. Phys. 38, 154 (1962)]. It is found that the spectrum as a result of the configuration mixing does not essentially depend on chosen sets of cranking frequencies if the number of mean-field states utilized in the mixing is larger than a certain small value. We apply this method to three examples employing the Gogny D1S effective interaction and show that it is useful to study high-spin rotational bands by means of the angular momentum projection method.

AB - By employing the angular momentum projection technique, we propose a method to reliably calculate the quantum spectrum of nuclear collective rotation. The method utilizes several cranked mean-field states with different rotational frequencies, which are superposed in the sense of configuration mixing or the generator coordinate method after performing the projection; the idea was originally suggested by Peierls-Thouless in 1962 [Nucl. Phys. 38, 154 (1962)]. It is found that the spectrum as a result of the configuration mixing does not essentially depend on chosen sets of cranking frequencies if the number of mean-field states utilized in the mixing is larger than a certain small value. We apply this method to three examples employing the Gogny D1S effective interaction and show that it is useful to study high-spin rotational bands by means of the angular momentum projection method.

UR - http://www.scopus.com/inward/record.url?scp=84942278769&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84942278769&partnerID=8YFLogxK

U2 - 10.1093/ptep/ptv073

DO - 10.1093/ptep/ptv073

M3 - Article

AN - SCOPUS:84942278769

VL - 2015

JO - Progress of Theoretical and Experimental Physics

JF - Progress of Theoretical and Experimental Physics

SN - 2050-3911

IS - 6

M1 - 063D02

ER -