Coupled self-consistent random-phase approximation equations for even and odd particle numbers: Tests with solvable models

Jemai M.; Schuck P.

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Coupled self-consistent random-phase approximation equations for even and odd particle numbers: Tests with solvable models

机译：偶数和奇数粒子数的耦合自一致的随机相近似方程：用可溶性模型进行测试

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Coupled equations for even and odd particle number correlation functions are set up via the equation of motion method. For the even particle number case this leads to self-consistent random-phase approximation equations already known from the literature. From the equations of the odd particle number case the single-particle occupation probabilities are obtained in a self-consistent way. This is the essential new procedure of this work. Both even and odd particle number cases are based on the same correlated vacuum and, thus, are coupled equations. Applications to the Lipkin model and to the one-dimensional Hubbard model give very good results.

机译：通过运动方法的等式建立偶数和奇数粒子数相关函数的耦合方程。对于偶数粒子数外壳，这导致了文献中已知的自我一致的随机相近似方程。从奇数粒子号情况的等式，以自一致的方式获得单粒子占用概率。这是这项工作的基本新程序。偶数和奇数粒子码均基于相同的相关真空，因此是耦合方程。应用于Lipkin模型和一维哈伯德模型的效果非常好。

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《Physical review, C》 |2019年第3期|共12页
作者
Jemai M.; Schuck P.;
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作者单位

Univ Tunis El Manar FST Lab Mat Avances &

Phenomenes Quant Tunis 2092 Tunisia;

Univ Paris Sud CNRS IN2P3 Inst Phys Nucl Orsay 15 Rue Georges Clemenceau F-91406 Orsay France;

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中图分类原子核物理学、高能物理学;
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1. Coupled self-consistent random-phase approximation equations for even and odd particle numbers: Tests with solvable models [J] . Jemai M., Schuck P. Physical review, C . 2019,第3期

机译：偶数和奇数粒子数的耦合自一致的随机相近似方程：用可溶性模型进行测试
2. Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase approximation [J] . C. Losa A. Pastore T. Døssing E. Vigezzi and R. A. Broglia Physical Review C:Nuclear Physics . 2010,第6期

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7. Coupled self-consistent random-phase approximation equations for even and odd particle numbers: Tests with solvable models [O] . M. Jemaï, P. Schuck 2019

机译：偶数和奇数粒子数的耦合自一致的随机相近似方程：用可溶性模型进行测试
8. ELECTRON - A Fortran Programme for the Coupled Channel Calculation of Nuclear Electromagnetic (e,e') Form Factors and Cross Sections in the Self-Consistent Random-Phase Approximation [R] . Cavinato, M., Marangoni, M., Saruis, A. M. 1984

机译：ELECTRON - 用于自洽随机相位近似中核电磁（e，e'）形状因子和截面的耦合通道计算的Fortran程序

Coupled self-consistent random-phase approximation equations for even and odd particle numbers: Tests with solvable models

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