Microscopic multicluster description of light nuclei with stochastic variational method

随机变分法轻核微观多团簇描述

• 批准号: 06640381
• 负责人: SUZUKI Yasuyuki
• 金额: $ 1.34万
• 依托单位: Niigata University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640381/
• 关键词: stochastic variation; unstable nuclei; halo structure; cluster model; ハロ-; 確率論的変分; Liアイソトープ; Beアイソトープ; 多クラスター模型

A Precise variational solution has so far been limited to 3-4 body system. This is mainly because an important configuration space becomes vast with increasing number of particles and accordingly because a setup of a good variational trial function becomes difficult. This problem has been thoroughly studied and resolved as follows :(1) The correlated Gaussian basis is advantageous for describing correlation between particles and for evaluating matrix elements analytically.(2) Nonlinear parameters of the variational function are determined in a trial and error process of the stochastic variational method we have developed.With this development it has become possible to get a precise solution for nuclear fewbody problems.The stochastic variational method has been applied to the study of light nuclei in a microscopic multicluster model. Some of the results obtained include(1) the confirmation of halo structure in ^6Li, an analog of ^6IIe.(2) the analysis of the properties of a mirror pair in A=7-9 nuclei, such as density distribution, magnetic and quadrupole moments.(3) the determination of resonance parameters of ^9Be and ^9B.

精确变分解迄今仅限于3-4体系统。这主要是因为随着粒子数量的增加，重要的配置空间变得巨大，因此，因为设置良好的变分试验函数变得困难。相关高斯基有利于描述粒子间的相关性，便于解析地计算矩阵元。(2)随机变分方法的非线性参数是在我们发展的随机变分方法的试错过程中确定的.随着这一发展，得到核少体问题的精确解成为可能.随机变分方法已被应用于微观多团模型中轻核的研究.所获得的一些结果包括：（1）确认了^6 IIe的类似物^6 Li的晕结构。(2)分析了A=7-9核中镜对的性质，如密度分布、磁矩和四极矩。(3)^9Be和^9B共振参数的测定。

项目成果

D. Baye, Y. Suzuki and P. Descouvemont: "Evidence for Halo in Quenching of ^6He β Decay into α and Denteron" Prog. Theor. Phys.91. 271-286 (1994)

D. Baye、Y. Suzuki 和 P. Descouvemont：“^6He β 衰变为 α 和 Denteron 时晕的证据”Prog. 271-286 (1994)。

S. Aoyama, S. Mukai, K. Kato and K. Ikeda: "Theoretical Prediction of Low-Lying Three Body resonance States in ^6He" Prog. Theor. Phys.94. 343-352 (1995)

S. Aoyama、S. Mukai、K. Kato 和 K. Ikeda：“^6He 中低洼三体共振状态的理论预测”Prog。

K. Varga, Y. Suzuki and I. Tanihata: "Microscopic Four-Cluster Description of the Mirror Nuclei ^9Li and ^9C" Phys. Rev.C52. 3013-3025 (1995)

K. Varga、Y. Suzuki 和 I. Tanihata：“镜核 ^9Li 和 ^9C 的微观四团簇描述” Phys。

K. Arai, Y. Ogawa, Y. Suzuki and K. Varga: "Structure of the Mirror Nuclei ^9Be and ^9B in a Microscopic Cluster Model" Phys. Rev.C54. 132-146 (1996)

K. Arai、Y. Okawa、Y. Suzuki 和 K. Varga：“微观团簇模型中镜核 ^9Be 和 ^9B 的结构” Phys。

S.Aoyama, S.Mukai, K.Kato and K.Ikeda: "Binding Mechanism of A Neutron-Rich Nucleus ^6He and Its Excited States" Prog.Theor.Phys.93. 99-114 (1995)

S.Aoyama、S.Mukai、K.Kato 和 K.Ikeda：“富中子核 ^6He 及其激发态的结合机制”Prog.Theor.Phys.93。