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arXiv 1306.5681nucl-th
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无限大核物质的耦合团簇研究

Coupled-cluster studies of infinite nuclear matter

G. Baardsen, A. Ekström, G. Hagen, M. Hjorth-Jensen

摘要:

本工作的目的是发展相关的形式主义进行耦合团簇(CC)计算在核物质和中子星物质,从而包括重要的关联到无限的相互作用和测试现代核力的基础上手征有效场论。我们的形式主义包括所谓的泡利运营商的状态方程的分波展开的精确治疗。核和中子物质的计算使用耦合粒子-粒子和空穴-空穴阶梯近似。耦合梯形方程推导出作为一个近似的CC理论,省略了粒子-空穴和非线性图从CC双振幅方程。这项研究是核和中子物质CC计算的第一步。我们目前的结果对称核物质和纯中子物质采用国家的最先进的核子核子相互作用的基础上手征有效场论。我们还采用了新优化的手性相互作用[A. Ekström等人,物理修订版信函110,192502(2013)]来研究无限的核物质。将梯形近似方法和相应的结果与传统的Brueckner-Hartree-Fock理论进行了比较。

英文摘要:

The aim of this work is to develop the relevant formalism for performing coupled-cluster (CC) calculations in nuclear matter and neutron star matter, including thereby important correlations to infinite order in the interaction and testing modern nuclear forces based on chiral effective field theory. Our formalism includes the exact treatment of the so-called Pauli operator in a partial wave expansion of the equation of state. Nuclear and neutron matter calculations are done using a coupled particle-particle and hole-hole ladder approximation. The coupled ladder equations are derived as an approximation of CC theory, leaving out particle-hole and non-linear diagrams from the CC doubles amplitude equation. This study is a first step toward CC calculations for nuclear and neutron matter. We present results for both symmetric nuclear matter and pure neutron matter employing state-of-the-art nucleon-nucleon interactions based on chiral effective field theory. We employ also the newly optimized chiral interaction [A. Ekström et al., Phys. Rev. Lett. 110, 192502 (2013)] to study infinite nuclear matter. The ladder approximation method and corresponding results are compared with conventional Brueckner-Hartree-Fock theory.

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