arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1108.4663nucl-th
收藏

氘核剥离理论。从曲面积分到广义$R$ -矩阵方法

Theory of deuteron stripping. From surface integrals to generalized $R$-matrix approach

A. M. Mukhamedzhanov

摘要:

有两个主要的原因,缺乏的实用理论剥离到共振态,可以使用的实验组:数值问题的DWBA矩阵元素的收敛时,包括全过渡运营商,目前还不清楚什么光谱信息可以从迁移反应填充的共振态的分析。本文件的目的是解决这两个问题。发展了氘核剥离理论,它是基于后连续离散耦合通道(CDCC)形式,超越了DWBA和反应理论的表面积分公式[A. S. Kadyrov等人,Ann. Phys. { \bf 324},1516(2009)]。首先,形式主义是发展的DWBA,然后扩展到CDCC形式主义,这是本工作的最终目标。CDCC波函数不仅考虑了初始弹性$d+ A$通道,而且考虑了它与DWBA中缺少的氘破裂通道$p + n + A$的耦合。剥离到束缚态和共振都包括在内。在后CDCC形式中解决了剥离到共振态的收敛问题。反应振幅的参数化方面的约化宽度振幅(ANC),逆能级矩阵,边界条件和通道半径,这是相同的参数,在传统的$R$矩阵方法中使用。对于剥离到共振态的多能级,考虑了单通道和双通道的情况。该理论提供了一个一致的工具来分析这两个二元共振反应和氘核剥离在相同的参数。

英文摘要:

There are two main reasons for absence of the practical theory of stripping to resonance states which could be used by experimental groups: numerical problem of the convergence of the DWBA matrix element when the full transition operator is included and it is unclear what spectroscopic information can be extracted from the analysis of transfer reactions populating the resonance states. The purpose of this paper is to address both questions. The theory of the deuteron stripping is developed, which is based on the post continuum discretized coupled channels (CDCC) formalism going beyond of the DWBA and surface integral formulation of the reaction theory [A. S. Kadyrov et al., Ann. Phys. {\bf 324}, 1516 (2009)]. First, the formalism is developed for the DWBA and then extended to the CDCC formalism, which is ultimate goal of this work. The CDCC wave function takes into account not only the initial elastic $d+ A$ channel but also its coupling to the deuteron breakup channel $p + n + A$ missing in the DWBA. Stripping to both bound states and resonances are included. The convergence problem for stripping to resonance states is solved in the post CDCC formalism. The reaction amplitude is parametrized in terms of the reduced width amplitudes (ANCs), inverse level matrix, boundary condition and channel radius, that is the same parameters which are used in the conventional $R$-matrix method. For stripping to resonance states many-level, one and two-channel cases are considered. The theory provides a consistent tool to analyze both binary resonant reactions and deuteron stripping in terms of the same parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑