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Theoretical Study on Nuclear Interaction based on Rigourous Calculations of Few-Nudeon Systems

基于少核子系统严格计算的核相互作用理论研究

基本信息

批准号：
13640300
负责人：
ISHIKAWA Souichi
金额：
$ 2.3万
依托单位：
Hosei University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2003
项目状态：
已结题

项目摘要

1.Three-nucleon-force effects in three-nucleon scattering : By analyzing the structure* of nucleon-deuteron scattering amplitude in the spin space, we obtain some combinations of polarization observables from which detained information on the spin dependence of nuclear forces is acquired. Then, the spin dependence of three-nucleon forces, which were introduced in order to cancel the systematic disagreement between experimental data and calculations of binding energy or differential cross-sections, was critically investigated.2.Research of the Coulomb few-body problem : Since analytic solution of a pure Coulomb problem for the quantum system of three or more bodies is not known, it is not easy to solve the problem of few-nucleon systems that Coulomb forces commit. We succeeded in development of the high precision calculation code of three-body problem at low energies. By this, it was enabled to perform analysis of low-energy proton-deuteron scattering without the ambiguity in handling of Coulomb force. Effect of charge symmetry breaking in three-nucleon scattering was clarified using this calculation code. Furthermore, calculation of the four-body problem which Coulomb forces commit was formulated.3.Polarization observables in hyperon-nucleon scattering : It can be expected to get deeper understanding to catch the problem of the so-called nuclear force as part of the interaction between baryons. We pursued the relation between scattering observables and the spin-dependent hyperon-nucleon interaction such as spin-spin and spin-orbit forces. Some combinations of polarization observables reflecting the feature of these spin dependent interactions were found out. Numerical analysis using some potential models was performed to compare with the experimental data that resent.

1.三核子散射中的三核子力效应：通过分析核子-氘核散射振幅在自旋空间中的结构，得到了一些极化观测量的组合，从中获得了核力与自旋相关的信息。然后，对为了消除束缚能和微分截面的计算与实验数据之间的系统性不一致而引入的三核子力的自旋依赖性进行了严格的研究。2.库仑少体问题的研究：由于三个或多个物体的量子系统的纯库仑问题的解析解是未知的，解决库仑力作用下的少核子系统问题是不容易的。我们成功地开发了低能三体问题的高精度计算程序。由此，能够在不模糊库仑力处理的情况下进行低能质子-氘核散射的分析。利用该程序对三核子散射中电荷对称性破缺的影响进行了研究。3.超子-核子散射中的极化观测量：把所谓核力问题作为重子间相互作用的一部分来抓，可望得到更深入的理解。讨论了散射观测量与自旋相关的超子-核子相互作用（如自旋-自旋、自旋-轨道力）之间的关系。找到了反映这些自旋相关相互作用特征的极化观测量组合。利用几种可能的模型进行了数值分析，并与现有的实验数据进行了比较。