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arXiv 1004.5544nucl-th
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局域准粒子无规相近似下惯性函数对大振幅形状混合动力学的微观描述

Microscopic description of large-amplitude shape-mixing dynamics with inertial functions derived in local quasiparticle random-phase approximation

Nobuo Hinohara, Koichi Sato, Takashi Nakatsukasa, Masayuki Matsuo, Kenichi Matsuyanagi

摘要:

在绝热自洽集体坐标方法的基础上,发展了一种有效的导出五维四极集体哈密顿量的微观方法,并将其应用于丰质子68,70,72 Se的扁长共存/混合现象,说明了其有效性.在这种方法中,振动和转动集体质量(惯性函数)由建立在约束Hartree-Fock-Bogoliubov态上的局域简正模确定。数值计算使用配对加四极哈密顿量,包括四极配对相互作用。结果表明,时间奇分量的移动平均场显着增加的振动和转动集体质量相比,英格利斯-别利亚耶夫曲柄质量。求解集体薛定谔方程,我们评估激发光谱,四极跃迁和时刻。数值计算的结果与最近的实验数据非常吻合,并表明这些核的低洼状态的特点是作为一个中间的情况之间的扁长形共存和所谓的伽马不稳定的情况下,大振幅的三轴形状的波动起主导作用。

英文摘要:

On the basis of the adiabatic self-consistent collective coordinate method, we develop an efficient microscopic method of deriving the five-dimensional quadrupole collective Hamiltonian and illustrate its usefulness by applying it to the oblate-prolate shape coexistence/mixing phenomena in proton-rich 68,70,72Se. In this method, the vibrational and rotational collective masses (inertial functions) are determined by local normal modes built on constrained Hartree-Fock-Bogoliubov states. Numerical calculations are carried out using the pairing-plus-quadrupole Hamiltonian including the quadrupole-pairing interaction. It is shown that the time-odd components of the moving mean-field significantly increase the vibrational and rotational collective masses in comparison with the Inglis-Belyaev cranking masses. Solving the collective Schroedinger equation, we evaluate excitation spectra, quadrupole transitions and moments. Results of the numerical calculation are in excellent agreement with recent experimental data and indicate that the low-lying states of these nuclei are characterized as an intermediate situation between the oblate-prolate shape coexistence and the so-called gamma unstable situation where large-amplitude triaxial-shape fluctuations play a dominant role.

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