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arXiv 2003.06296nucl-th
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低能带电粒子转移反应的色散(渐近)理论与核天体物理:I。“非戏剧性”案例

Dispersion (asymptotic) theory of charged particle transfer reactions at low energies and nuclear astrophysics: I. the "non-dramatic" case

R. Yarmukhamedov, K. I. Tursunmakhatov

摘要:

本文提出了一种新的色散(渐近)理论,用于三体($A$,$a$和$y$)模型中势垒以下和势垒以上的外围带电粒子转移$A(x,y)B$反应,其中$ x= y +a$和$B=A+a$,$ a$是转移粒子.它是基于色散理论和传统的DWBA方法相结合。导出了精确的三体极点振幅和微分截面的显式表达式,其中正确地考虑了转移机制的三体($A$,$a$和$y$)库仑动力学对周边分振幅的贡献,对应于具有$l_i>>1$的分波。对于特定的质子和triton转移反应,比较分析了$l_i>>1$的一步极点振幅和精确三体极点振幅,以及传统DWBA的“后”近似和后形式的振幅.它显示了绝对不适用的“后”近似通常适用于获得有关天体物理学感兴趣的特定渐近归一化系数的信息。

英文摘要:

A new dispersion (asymptotic) theory is proposed for the peripheral sub- and above-barrier charged particle transfer $A(x,y)B$ reaction in the three-body ($A$, $a$ and $y$) model where $ x= y +a$ and $B=A+a$, and $ a$ is a transferred particle. It is based on the combination of the dispersion theory and the conventional DWBA method. The explicit forms have been derived for the exact three-body pole amplitude and differential cross section in which the contribution of the three-body ($A$, $a$ and $y$) Coulomb dynamics of the transfer mechanism in the peripheral partial amplitudes, corresponding to partial waves with $l_i>>1$, is taken into account correctly. For the specific peripheral proton and triton transfer reactions, the comparative analysis of the peripheral partial amplitudes at $l_i>>1$ , which correspond to the one-step pole and exact three-body pole amplitudes as well as those of the "post"-approximation and the post form of the conventional DWBA, is performed with each other. It shows the absolute inapplicability of the "post"-approximation usually applied for getting an information about specific asymptotic normalization coefficients being astrophysical interest.

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