One- and two-nucleon overlap functions in nuclear physics
One- and two-nucleon overlap functions in nuclear physics
复制标题
核物理中的一核子和二核子重叠函数
DOI：
10.1016/0370-1573(85)90132-2
复制
发表时间：
1985
期刊：
影响因子：
--
通讯作者：
J. Bang
中科院分区：
文献类型：
--
作者：
J. Bang
第 2 章和第 3 章分别回顾了用于计算核一粒子和两粒子传递的重叠。它们在反应振幅中的作用在 DWBA 和其他反应描述的框架中进行了讨论。推导了重叠因子的一般方程，并在两种情况下证明了渐近行为。在两个粒子的情况下，还评估和审查了相关性。第一章对这种情况进行了技术性的概述。详细讨论了封闭壳外的一个或两个粒子的具体情况，以及耦合到振动或变形核心的粒子。回顾了单粒子情况下耦合方程直接解的方法以及近似方法，如源项方法。对于一个和两个粒子重叠，讨论了离散函数集的扩展，例如谐振子函数或 Sturm-Liouville 函数。考虑质心运动和不相容原理的问题。审查求和规则及其应用。像 BCS(Bogoliubov) 这样的多体近似被简单地考虑应用于重叠计算。
Overlaps, used in calculation of nuclear one- and two-particle transfer are reviewed in chapters 2 and 3 respectively. Their role in the reaction amplitudes is discussed in the framework of DWBA and other reaction descriptions. General equations for the overlap factors are derived, and the asymptotic behaviour demonstrated in both cases. In the two-particle case, correlations are also evaluated and reviewed. Chapter 1 gives a less technical synopsis of the situation.The concrete cases of one or two particles outside a closed shell are treated in detail, as well as particles coupled to a vibrating or deformed core. The methods of direct solutions of coupled equations are reviewed for the one-particle case, as well as approximations, like the source term method. Expansions on discrete sets of functions, like harmonic oscillator functions or Sturm-Liouville functions are discussed both for the one and two particle overlaps. Problems of centre-of-mass motion and of the exclusion principle are considered. Sum rules and their applications are reviewed. Many-body approximations like BCS(Bogoliubov) are briefly considered as applied to overlap calculations.