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Basic modes in nuclear collective motion

核集体运动的基本模式

基本信息

批准号：
08044056
负责人：
OTSUKA Takaharu
金额：
$ 2.75万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for international Scientific Research
财政年份：
1996
资助国家：
日本
起止时间：
1996 至 1997
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08044056/
关键词：
Q-phono Beta band gamma band mixed-symmetry state Interacting Boson Model supersymmetry U(6|4) group O(6)相互作用するポゾン模型 sd殻 Pd 混合対称状態ベータバンドベータ振動奇核

项目摘要

The following outcome has been obtained by this international collaboration involving three major institutions.1) The Q-phonon scheme originally introduced for even-even nuclei s extended to odd-A nuclei. In particular, the structure of the supersymmetry of U(6|4) has been clarified. To be more precise, eigenstates within the same representation space were shown, in the previous study, to be produced by acting the quadrupole operator of U(6|4) on the ground state of each representation. In the present study, eigenstates are shown to be produced between different representations by utilizing supersymmetric operators. The Q-phonon theory has been extended to other supersymmetric cases like U(6|12) and U(6|20).2) The so-called beta vibrational state is shown to be a mixture of multi beta-gamma excitations, in particular, that of the beta excitation and double gamma excitation. This trend is found to be consistent with experimental data taken by the Koeln and Yale groups.3) The mixed symmetry states of 2+ and 3+ are studied by extending the idea of the Q-phonon. Many godd candidates of such states are found by the Koeln group for Mo, Xe, Ba and Pt regions.4) A possible link between different representations of O(6) is suggested.5) High spin states sre studied for Xe and Ba isotopes including experimental data from the Koeln group.

通过三个主要机构的国际合作，取得了以下成果：1）将原来为偶-偶核引入的Q-声子方案推广到奇-A核。特别地，U（6）的超对称性的结构|（4）已澄清。更准确地说，在以前的研究中，在同一表示空间内的本征态被证明是通过作用U（6）的四极算符产生的|4）在每个表示的基态上。在本研究中，本征态被证明是通过利用超对称运营商之间的不同表示。Q-声子理论已被推广到其它超对称情形，如U（6| 12）和U（6| 20）.2）所谓的β振动态被证明是多个β-γ激发的混合，特别是β激发和双γ激发的混合。这一趋势与科隆和耶鲁的实验结果一致。3）推广Q声子的概念，研究了2+和3+离子的混合对称态。科隆群在Mo，Ba，Pt区域发现了许多这类态的godd候选者。4）讨论了O（6）的不同表示之间的可能联系。5）研究了Ba，Ba同位素的高自旋态，包括科隆群的实验数据。