### Abstract

We perform simultaneous analysis of (1) matter radii, (2) B(E2;0+→2+) transition probabilities, and (3) excitation energies, E(2+) and E(4+), for Mg24-40 by using the beyond-mean-field (BMF) framework with angular-momentum-projected configuration mixing with respect to the axially symmetric β2 deformation with infinitesimal cranking. The BMF calculations successfully reproduce all of the data for rm,B(E2), and E(2+) and E(4+), indicating that it is quite useful for data analysis; particularly for low-lying states. We also discuss the absolute value of the deformation parameter β2 deduced from measured values of B(E2) and rm. This framework makes it possible to investigate the effects of β2 deformation, the change in β2 due to restoration of rotational symmetry, β2 configuration mixing, and the inclusion of time-odd components by infinitesimal cranking. Under the assumption of axial deformation and parity conservation, we clarify which effect is important for each of the three measurements and propose the kinds of BMF calculations that are practical for each of the three kinds of observables.

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

Article number | 064314 |

Journal | Physical Review C |

Volume | 93 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jun 13 2016 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physical Review C*,

*93*(6), [064314]. https://doi.org/10.1103/PhysRevC.93.064314

**Simultaneous analysis of matter radii, transition probabilities, and excitation energies of Mg isotopes by angular-momentum-projected configuration-mixing calculations.** / Shimada, Mitsuhiro; Watanabe, Shin; Tagami, Shingo; Matsumoto, Takuma; Shimizu, Yoshifumi; Yahiro, Masanobu.

Research output: Contribution to journal › Article

*Physical Review C*, vol. 93, no. 6, 064314. https://doi.org/10.1103/PhysRevC.93.064314

}

TY - JOUR

T1 - Simultaneous analysis of matter radii, transition probabilities, and excitation energies of Mg isotopes by angular-momentum-projected configuration-mixing calculations

AU - Shimada, Mitsuhiro

AU - Watanabe, Shin

AU - Tagami, Shingo

AU - Matsumoto, Takuma

AU - Shimizu, Yoshifumi

AU - Yahiro, Masanobu

PY - 2016/6/13

Y1 - 2016/6/13

N2 - We perform simultaneous analysis of (1) matter radii, (2) B(E2;0+→2+) transition probabilities, and (3) excitation energies, E(2+) and E(4+), for Mg24-40 by using the beyond-mean-field (BMF) framework with angular-momentum-projected configuration mixing with respect to the axially symmetric β2 deformation with infinitesimal cranking. The BMF calculations successfully reproduce all of the data for rm,B(E2), and E(2+) and E(4+), indicating that it is quite useful for data analysis; particularly for low-lying states. We also discuss the absolute value of the deformation parameter β2 deduced from measured values of B(E2) and rm. This framework makes it possible to investigate the effects of β2 deformation, the change in β2 due to restoration of rotational symmetry, β2 configuration mixing, and the inclusion of time-odd components by infinitesimal cranking. Under the assumption of axial deformation and parity conservation, we clarify which effect is important for each of the three measurements and propose the kinds of BMF calculations that are practical for each of the three kinds of observables.

AB - We perform simultaneous analysis of (1) matter radii, (2) B(E2;0+→2+) transition probabilities, and (3) excitation energies, E(2+) and E(4+), for Mg24-40 by using the beyond-mean-field (BMF) framework with angular-momentum-projected configuration mixing with respect to the axially symmetric β2 deformation with infinitesimal cranking. The BMF calculations successfully reproduce all of the data for rm,B(E2), and E(2+) and E(4+), indicating that it is quite useful for data analysis; particularly for low-lying states. We also discuss the absolute value of the deformation parameter β2 deduced from measured values of B(E2) and rm. This framework makes it possible to investigate the effects of β2 deformation, the change in β2 due to restoration of rotational symmetry, β2 configuration mixing, and the inclusion of time-odd components by infinitesimal cranking. Under the assumption of axial deformation and parity conservation, we clarify which effect is important for each of the three measurements and propose the kinds of BMF calculations that are practical for each of the three kinds of observables.

UR - http://www.scopus.com/inward/record.url?scp=84975764584&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevC.93.064314

DO - 10.1103/PhysRevC.93.064314

M3 - Article

VL - 93

JO - Physical Review C

JF - Physical Review C

SN - 2469-9985

IS - 6

M1 - 064314

ER -