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arXiv 1805.04662nucl-thnucl-ex
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用相互作用截面检验$^{22}$ C半径的确定

Examination of the $^{22}$C radius determination with interaction cross sections

T. Nagahisa, W. Horiuchi

摘要:

为了解决最近用$^1$ H和$^{12}$ C靶测量的两个相互作用截面所显示的半径差别很大的半径难题,本文用中高入射能量下的总反应截面研究了$^{22}$ C的核半径. $^{22}$ C的截面计算一致的这些目标核在一个可靠的微观框架内,Glauber理论。为了适当地描述这样的反应,涉及一个空间扩展的核,多次散射过程中的Glauber理论是充分考虑,即,在Glauber振幅的多维积分使用Monte Carlo技术,而不求助于光限近似评估。我们讨论了空间扩展晕尾对总反应截面的敏感性。计算得到的均方根物质半径与最近在$^{12}$ C靶上测量得到的均方根物质半径一致。我们表明,在这个框架内的两个最近测量的截面的同时再现是不可行的。

英文摘要:

A nuclear radius of $^{22}$C is investigated with the total reaction cross sections at medium- to high-incident energies in order to resolve the radius puzzle in which two recent interaction cross section measurements using $^1$H and $^{12}$C targets show the quite different radii. The cross sections of $^{22}$C are calculated consistently for these target nuclei within a reliable microscopic framework, the Glauber theory. To describe appropriately such a reaction involving a spatially extended nucleus, the multiple scattering processes within the Glauber theory are fully taken into account, that is, the multi-dimensional integration in the Glauber amplitude is evaluated using a Monte Carlo technique without recourse to the optical-limit approximation. We discuss the sensitivity of the spatially extended halo tail to the total reaction cross sections. The root-mean-square matter radius obtained in this study is consistent with that extracted from the recent cross section measurement on $^{12}$C target. We show that the simultaneous reproduction of the two recent measured cross sections is not feasible within this framework.

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