Nuclear response in a finite-temperature relativistic framework
Nuclear response in a finite-temperature relativistic framework
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DOI：
10.1140/epja/i2019-12771-9
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发表时间：
2018-12
期刊：
影响因子：
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通讯作者：
E. Litvinova;H. Wibowo
中科院分区：
文献类型：
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作者：
E. Litvinova;H. Wibowo
在相对论核场理论的基础上，建立了核响应的热扩展形式。粒子-空穴响应的含时核的Bethe-Salpeter方程(BSE)在松原格林函数形式下处理。我们证明，在虚时间(时间块)的子空间上利用依赖于温度的投影算子，同样可以在有限温度下将核响应函数的BSE化为单频变量方程。该方法是在基于介子-核子拉格朗日的量子流体动力学框架下自洽实现的。该方法适用于48Ca的单极、偶极和四极响应，以及锡的100、120、132Sn的偶极响应，特别是用来研究核集体振荡随温度的演化。这篇文章是为了纪念弗朗西斯科·波蒂格农码头，并致力于与他的开创性思想有关的发展。
A thermal extension of the relativistic nuclear field theory is formulated for the nuclear response. The Bethe-Salpeter equation (BSE) with the time-dependent kernel for the particle-hole response is treated within the Matsubara Green’s function formalism. We show that, with the help of a temperature-dependent projection operator on the subspace of the imaginary time (time blocking), it is possible to reduce the BSE for the nuclear response function to a single frequency variable equation also at finite temperature. The approach is implemented self-consistently in the framework of quantum hadrodynamics based on the meson-nucleon Lagrangian. The method is applied to the monopole, dipole and quadrupole response of48Ca and to the dipole response of the tin isotopes100, 120, 132Sn, in particular, to a study of the evolution of nuclear collective oscillations with temperature. The article is dedicated to the memory of Pier Francesco Bortignon and devoted to the developments related to his pioneering ideas.