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arXiv 0810.3528nucl-th
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某些偶偶核中态$0^+$和$2^+$的唯象描述

Phenomenological description of the states $0^+$ and $2^+$ in some even-even nuclei

A. A. Raduta, F. D. Aaron, E. Moya de Guerra, Amand Faessler

摘要:

六阶四极玻色子哈密顿量被用来描述由各种类型的实验在几个核中识别的态$0^+$和$2^+$。提出了能级的两种不同描述。一个对应于模型哈密顿量的半经典方法,而另一个提供了精确的本征值。这两种方法都能得到相近的能量公式。第一个过程涉及四个参数,而第二个过程涉及一个紧凑的公式,有五个参数。在每种情况下的参数是固定的最小二乘拟合过程。应用程序进行了八个偶-偶核。这两种方法产生的结果是在一个令人惊讶的良好协议与实验数据。我们也给出了我们的预测减少跃迁概率内的两种方法,虽然相应的实验数据尚未公布。

英文摘要:

A sixth-order quadrupole boson Hamiltonian is used to describe the states $0^+$ and $2^+$ identified in several nuclei by various types of experiments. Two alternative descriptions of energy levels are proposed. One corresponds to a semi-classical approach of the model Hamiltonian while the other one provides the exact eigenvalues. Both procedures yield close formulas for energies. The first procedure involves four parameters, while the second involves a compact formula with five parameters. In each case the parameters are fixed by a least-square fit procedure. Applications are performed for eight even-even nuclei. Both methods yield results which are in a surprisingly good agreement with the experimental data. We give also our predicted reduced transition probabilities within the two approaches, although the corresponding experimental data are not yet available.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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