Adaptive multi-resolution 3D Hartree-Fock-Bogoliubov solver for nuclear structure
Adaptive multi-resolution 3D Hartree-Fock-Bogoliubov solver for nuclear structure
复制标题
用于核结构的自适应多分辨率 3D Hartree-Fock-Bogoliubov 求解器
DOI：
10.1103/physrevc.90.024317
复制
发表时间：
2014-07
影响因子：
3.1
通讯作者：
Thornton S.
中科院分区：
文献类型：
--
作者：
Pei J. C.;Fann G. I.;Harrison R. J.;Nazarewicz W.;Shi Yue;Thornton S.
复杂的多体系统，如三轴核和反射不对称核、弱束缚晕态、团簇组态、重离子聚变反应产生的核碎片、冷费米气体和中子星壳中的面相等，都具有大尺寸和复杂拓扑的特点，其中许多基态组态的几何对称性被打破。研究这种复杂形式的物质的一种选择工具是自适应多分辨率小波分析。这种方法引起了人们的极大兴趣，因为它提供了一个公共框架，将信号处理、数据压缩、谐波分析和算符理论、分形学和量子场论等不同领域的各种方法联系在一起。
为了描述复杂的超流多费米子系统，我们引入了一种自适应拟谱方法来求解三维核密度泛函理论的自洽方程，而不受对称性限制。
新的自适应多分辨率Hartree-Fock-Bogoliubov(HFB)求解器以基于B-Spline技术的二维坐标空间求解器{\hfbax}和基于谐振子基展式的三维求解器{\hfodd}为基准。其中包括自旋极化囚禁冷费米子的自洽HFB问题和三轴形变原子核的Skyrme-Hartree-Fock(+BCS)问题。
当应用于涉及多粒子超流系统的核和原子问题时，新的{\madensshfb}框架具有许多吸引人的特征。特别令人感兴趣的是靠近粒子滴线的弱结合核构型，强烈拉长的双核构型，如那些存在于裂变和重离子聚变中的构型，以及出现在中子星地壳中的稀有面食相。
Complex many-body systems, such as triaxial and reflection-asymmetric nuclei, weakly-bound halo states, cluster configurations, nuclear fragments produced in heavy-ion fusion reactions, cold Fermi gases, and pasta phases in neutron star crust, they are all characterized by large sizes and complex topologies, in which many geometrical symmetries characteristic of ground-state configurations are broken. A tool of choice to study such complex forms of matter is an adaptive multi-resolution wavelet analysis. This method has generated much excitement since it provides a common framework linking many diversified methodologies across different fields, including signal processing, data compression, harmonic analysis and operator theory, fractals, and quantum field theory.
To describe complex superfluid many-fermion systems, we introduce an adaptive pseudo-spectral method for solving self-consistent equations of nuclear density functional theory in three dimensions, without symmetry restrictions.
The new adaptive multi-resolution Hartree-Fock-Bogoliubov (HFB) solver {\madnesshfb} is benchmarked against a two-dimensional coordinate-space solver {\hfbax} based on B-spline technique and three-dimensional solver {\hfodd} based on the harmonic oscillator basis expansion. Several examples are considered, including self-consistent HFB problem for spin-polarized trapped cold fermions and Skyrme-Hartree-Fock (+BCS) problem for triaxial deformed nuclei.
The new {\madnesshfb} framework has many attractive features when applied to nuclear and atomic problems involving many-particle superfluid systems. Of particular interest are weakly-bound nuclear configurations close to particle drip lines, strongly elongated and dinuclear configurations such as those present in fission and heavy ion fusion, and exotic pasta phases that appear in the neutron star crust.
DOI：
10.1088/1742-6596/180/1/012080
发表时间：
2009-07
期刊：
--
影响因子：
--
作者：
G. Fann;J. Pei;J. Pei;R. Harrison;R. Harrison;J. Jia;Judith C. Hill;M. Y. Ou;W. Nazarewicz-W.-Nazarew
通讯作者：
G. Fann;J. Pei;J. Pei;R. Harrison;R. Harrison;J. Jia;Judith C. Hill;M. Y. Ou;W. Nazarewicz-W.-Nazarew
影响因子：
4.4
作者：
Harrison, RJ;Fann, GI;Beylkin, G
通讯作者：
Beylkin, G