Discrete wave-packet representation in nuclear matter calculations
Discrete wave-packet representation in nuclear matter calculations
复制标题
核物质计算中的离散波包表示
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
V. Pomerantsev
中科院分区：
文献类型：
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作者：
H. Muther;O. Rubtsova;V. Kukulin;V. Pomerantsev
根据自由空间和介质中定义的总双核子哈密顿量的预解式，重新表述了核子-核子$t$-矩阵的Lippmann-Schwinger方程以及相应的确定核物质中Brueckner反应矩阵的Bethe-Goldstone方程.这允许通过在驻波包基础上使用相应的哈密顿矩阵对角化来同时在许多能量下找到解决方案。在其他重要的优点，这种方法大大简化了整个计算过程都耦合通道$t$-矩阵和Brueckner反应矩阵。因此，这主要是新的计划预计将是特别有用的自洽核物质的计算，因为它允许在一个高度的单粒子势迭代加速。此外，该方法提供了直接进入核介质中可能的双核子束缚态的性质。通过数值求解Bethe-Goldstone积分方程和直接的Hamiltonian对角化得到的反应矩阵之间的比较表明，所提出的方法具有很高的精度。该方法基于三粒子Bethe-Faddeev方程，通过有效的哈密顿对角化方法，为精确处理核物质中的二粒子和三粒子关联开辟了一条新的途径.
The Lippmann-Schwinger equation for the nucleon-nucleon $t$-matrix as well as the corresponding Bethe-Goldstone equation to determine the Brueckner reaction matrix in nuclear matter are reformulated in terms of the resolvents for the total two-nucleon Hamiltonians defined in free space and in medium correspondingly. This allows to find solutions at many energies simultaneously by using the respective Hamiltonian matrix diagonalization in the stationary wave packet basis. Among other important advantages, this approach simplifies greatly the whole computation procedures both for coupled-channel $t$-matrix and the Brueckner reaction matrix. Therefore this principally novel scheme is expected to be especially useful for self-consistent nuclear matter calculations because it allows to accelerate in a high degree single-particle potential iterations. Furthermore the method provides direct access to the properties of possible two-nucleon bound states in the nuclear medium. The comparison between reaction matrices found via the numerical solution of the Bethe-Goldstone integral equation and the straightforward Hamiltonian diagonalization shows a high accuracy of the method suggested. The proposed fully discrete approach opens a new way to an accurate treatment of two- and three-particle correlations in nuclear matter on the basis of three-particle Bethe-Faddeev equation by an effective Hamiltonian diagonalization procedure.