标准对力模型的新迭代方法（英文）  

A New Iterative Approach for the Exact Solution of the Standard Pairing Model

作　　者：关鑫[1] 艾昕 GUAN Xin;AI Xin(Department of Physics,Liaoning Normal University,Dalian 116029,Liaoning,China)

机构地区：[1]辽宁师范大学物理与电子技术学院,辽宁大连116029

出　　处：《原子核物理评论》2018年第4期518-522,共5页Nuclear Physics Review

基　　金：Natural Science Foundation of China(11675071)~~

摘　　要：建立了一种求解标准对力模型的新迭代方法。该方法基于标准对力模型的多项式方案,为球形和形变系统提供了方便的初始值预测。特别是对于大尺寸系统,该方法将求解k对多项式的系统方程式简化为分步求解1对多项式系统的迭代过程,并通过快速Newton-Raphson以及Monte Carlo采样算法逐步提供初始值预测。通过扩展,本算法还可用于解决Gaudin型量子多体问题,例如考虑超过100条轨道、50对的大尺寸系统,以及超形变核、核裂变的研究中。A new iterative approach for solving the standard pairing problem is established based on polynomial approach. It provides an efficient way to derive the particle-number conserved pairing wave functions for both spherical and deformed systems, especially for large-size systems. The method reduces the complexity of solving a system for k-pairs polynomial equations into a system for one-pair polynomial equation, which can be efficiently implemented by the Newton-Raphson algorithm with a Monte Carlo sampling procedure for providing the initial guesses step by step. The present algorithm can also be used to solve a large class of Gaudin type quantum many-body problems as a more than 100 orbitals and 50 pairs system such as super-heavy nuclei and nuclear fission.

关 键 词：标准对力模型 迭代近似 核裂变 超形变核 

分 类 号：O571.6[理学—粒子物理与原子核物理] P142.9[理学—物理]