arXiv 1111.65282011-11-28nucl-th

形变核的最优内禀参照系

Optimal Intrinsic Frame of Reference for Deformed Nuclei

N. A. Lyutorovich

备注：: 27 pages, 1 figure

摘要：

目前，在有效相互作用的研究中，近幻核的单粒子性质和形变核的体性质受到较多的关注，而形变核的准粒子态由于理论上的困难而很少被应用。特别是角动量投影法计算时间太长，而基于内禀坐标系变换的方法存在一些问题，如：例如，在一个实施例中，在描述准粒子-转动耦合时，把它看作转动反冲的量子涨落。为了消除这些困难的一部分，最优内在的方法。建立了参考框架。应用Mikhajlov变换得到了内禀坐标系下的核哈密顿量，证实了对核子变量的近似约束，并研究了核取向角算符的准粒子结构.这就有可能利用变分原理导出这些算子的矩阵元方程。提出了一个类似于曲柄模型（CM）的近似，但加入了量子转动反冲，它可以看作是通常的自洽CM的推广。对$^{163}$ Er转动带的简化模型计算表明，考虑反冲算符后，Er的转动带的大大提高了与实验数据的一致性

英文摘要：

Nowaday, in study of effective interactions, more attention is devoted to single-particle properties of near-magic nuclei and bulk properties of deformed ones but quasiparticle states of the latter are rarely used so far because of theoretical difficulties. In particular, the angular momentum projection remains too time-consuming for such calculations and the methods, which are based on the transformation to an intrinsic frame have some unsolved problems such, e. g., as quantum fluctuations of rotational recoil in the description of quasiparticle-rotation coupling. To remove a part of these difficulties, the method of the optimal intrinsic. frame-of-reference is developed. After applying the Mikhajlov transformation to obtain the nuclear Hamiltonian in the intrinsic frame, approximate constraints on nucleon's variables are substantiated, and the quasiparticle structure of the nucleus orientation angle operators is investigated. That gives possibility to use the variational principle to derive equations for matrix elements of these operators. An approximation similar to the cranking model (CM), but with the quantum rotational recoil, is formulated, which may be considered as a generalization of the usual self-consistent CM. Simplified model calculations for rotational bands in $^{163}$Er show that taking into account the recoil operator. considerably improves the agreement with experimental data

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