Program in C for studying characteristic properties of two-body interactions in the framework of spectral distribution theory
Program in C for studying characteristic properties of two-body interactions in the framework of spectral distribution theory
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DOI：
10.1016/j.cpc.2013.08.007
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发表时间：
2013-08
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影响因子：
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通讯作者：
K. Launey;S. Sarbadhicary;T. Dytrych;J. Draayer
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文献类型：
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作者：
K. Launey;S. Sarbadhicary;T. Dytrych;J. Draayer
我们提出了一个程序在C中，采用光谱分布理论的多粒子量子力学系统的特性和基本的少体相互作用的研究。特别是，该程序侧重于在JT耦合谐振子基础上给出的两体核相互作用，并计算相关系数，任何两个相互作用的相似性度量，以及指定相互作用强度的希尔伯特-施密特规范。该程序的一个重要特点是它能够识别2体相互作用的质心部分，以及其“密度依赖”的单体和两体部分，从而为更大的核系统提供关于壳隙和结合能演化的关键信息。作为额外的功能，我们提供了“密度依赖”的相互作用的统计措施，以及一种机制来表达的两个其他相互作用方面的相互作用。这反过来又使人们能够在一般的哈密顿量中识别核相互作用的既定特征（如配对相关）。该程序处理的径向简并的“密度依赖”的单体相互作用，并与一个有效的链表数据结构，促进了在大型模型空间，超越价壳层应用的核相互作用的研究。程序摘要程序标题：sdt目录标识符：AEQG_v1_0程序摘要URL：http：//cpc。CS. qub. AC. uk/summaries/AEQG_v1_0。html程序可从：CPC程序图书馆，皇后大学，贝尔法斯特，N。爱尔兰许可证条款：标准CPC许可证，http：//cpc。CS. qub. AC.英国/许可证/许可证。html分布式程序的行数，包括测试数据等：10 888分布式程序字节数，包括测试数据等：88 778分发格式：tar。gz编程语言：C.计算机：笔记本电脑，工作站。操作系统：Linux [在Linux（Kernel 2.6. 9)用GCC 3.4版6]。RAM：小于10 MB分类：17.15.问题性质：该程序计算二阶能量矩，如方差和相关系数，广泛用于衡量相互作用的整体强度及其与其他相互作用的相似性。它允许研究各种相互作用的物理性质及其对多粒子系统的影响。求解方法：计算基于光谱分布理论，并调用该理论提供的统计测量。运行时间：使用1.80 GHz处理器时不到20分钟（通常为几秒）。参考文献：[1] JB French和KF Ratthorn，Phys. Rev. C 3，94（1971）;[2] FS Chang，JB French和TH Thio，Ann. Phys. (NY)66，137（1971）;[3] KT Hecht and JP Draayer，Nucl.Phys.A223，285（1974）;[4] KD Sviratcheva，JP Draayer，and JP Vary，Nucl.Phys.A786，31（2007）.
We present a program in C that employs spectral distribution theory for studies of characteristic properties of a many-particle quantum-mechanical system and the underlying few-body interaction. In particular, the program focuses on two-body nuclear interactions given in a J T-coupled harmonic oscillator basis and calculates correlation coefficients, a measure of similarity of any two interactions, as well as Hilbert–Schmidt norms specifying interaction strengths. An important feature of the program is its ability to identify the monopole part (centroid) of a 2-body interaction, as well as its ‘density-dependent’one-body and two-body part, thereby providing key information on the evolution of shell gaps and binding energies for larger nuclear systems. As additional features, we provide statistical measures for ‘density-dependent’interactions, as well as a mechanism to express an interaction in terms of two other interactions. This, in turn, allows one to identify, eg, established features of the nuclear interaction (such as pairing correlations) within a general Hamiltonian. The program handles the radial degeneracy for ‘density-dependent’one-body interactions and together with an efficient linked list data structure, facilitates studies of nuclear interactions in large model spaces that go beyond valence-shell applications. Program summary Program title: sdt Catalogue identifier: AEQG_v1_0 Program summary URL: http://cpc. cs. qub. ac. uk/summaries/AEQG_v1_0. html Program obtainable from: CPC Program Library, Queen’s University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc. cs. qub. ac. uk/licence/licence. html No. of lines in distributed program, including test data, etc.: 10 888 No. of bytes in distributed program, including test data, etc.: 88 778 Distribution format: tar. gz Programming language: C. Computer: Laptop, Workstation. Operating system: Linux [tested on Linux (Kernel 2.6. 9) with a gcc, version 3.4. 6]. RAM: Less than 10 MB Classification: 17.15. Nature of problem: The program calculates second-order energy moments, such as variances and correlation coefficients, widely used as measures of the overall strength of an interaction and its similarity to other interactions. It allows for studies of the physical properties of various interactions and their effect on many-particle systems. Solution method: Calculations are based on spectral distribution theory and invoke statistical measures provided by the theory. Running time: Less than 20 min (typically, several seconds) using a 1.80 GHz processor. References:[1] JB French and KF Ratcli, Phys. Rev. C 3, 94 (1971);[2] FS Chang, JB French, and TH Thio, Ann. Phys.(NY) 66, 137 (1971);[3] KT Hecht and JP Draayer, Nucl. Phys. A223, 285 (1974);[4] KD Sviratcheva, JP Draayer, and JP Vary, Nucl. Phys. A 786, 31 (2007).