arXiv 2403.016852024-03-04nucl-th

$^{48}$Ti中的壳层–团簇转变

Shell-cluster transition in $^{48}$Ti

M. Okada, W. Horiuchi, N. Itagaki

备注：: 8 pages, 6 figures

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AI总结：

该研究利用AQCM密度分布和Glauber模型分析质子及α弹性散射，揭示$^{48}$Ti从表面壳结构到尾部α+$^{44}$Ca团簇结构的空间转变。

摘要：

背景：α（$^4$He原子核）团簇化是否存在于核系统的中等质量区域，是一个基本且引人关注的问题。然而，最近对$^{48}$Ti上α敲出反应的分析[Phys. Rev. C 103, L031305 (2021)]提出了一个难题：微观波函数给出的α敲出截面比实验小两个数量级，而电荷半径和电磁跃迁概率等基本核性质却得到了很好的解释。目的：利用数MeV至数百MeV的质子–核和α–核弹性散射研究$^{48}$Ti的基态结构，这些散射对核密度分布的不同区域具有不同的敏感性。方法：通过反对称准团簇模型（AQCM）在单一方案中生成四类密度分布，即$jj$耦合壳模型和三种团簇模型构型。质子–$^{48}$Ti和α–$^{48}$Ti弹性散射截面的角分布采用可靠的高能反应理论Glauber模型获得。结果：发现$jj$耦合壳模型构型最好地再现了质子–核弹性散射截面。另一方面，波函数尾部区域中α团簇结构的痕迹嵌入在α–核弹性散射截面中。结论：我们的结果表明，原子核结构随距中心距离的变化而改变，从表面区域的$jj$耦合壳模型结构转变为尾部区域的α+$^{44}$Ca团簇结构。这一图像与$^{48}$Ti上α敲出反应的发现相一致。

英文摘要：

Background: Whether or not the $α$ ($^4$He nucleus) clustering exists in the medium-mass region of nuclear systems is a fundamental and intriguing question. However, the recent analysis of the $α$ knockout reaction on $^{48}$Ti [Phys. Rev. C 103, L031305 (2021)] poses a puzzle: The microscopic wave function gives an $α$ knockout cross section that is two orders of magnitude smaller than the experiment, while basic nuclear properties such as the charge radius and the electromagnetic transition probabilities are well explained. Purpose: The ground-state structure of $^{48}$Ti is investigated by using proton- and $α$-nucleus elastic scattering at a few to several hundred MeV, which offers different sensitivity to the region of the nuclear density profiles. Method: Four types of density distributions, the $jj$-coupling shell model and three cluster model configurations, are generated in a single scheme by the antisymmetrized quasi-cluster model (AQCM). The angular distribution of the proton- and $α$-$^{48}$Ti elastic scattering cross sections are obtained with a reliable high-energy reaction theory, the Glauber model. Results: The $jj$-coupling shell model configuration is found to best reproduce the proton-nucleus elastic scattering cross section. On the other hand, the trace of the $α$ cluster structure in the tail region of the wave function is embedded in the $α$-nucleus elastic scattering cross section. Conclusion: Our results suggest that the structure of the nucleus changes as a function of distance from the center, from the $jj$-coupling shell model structure in the surface region to the $α$+$^{44}$Ca cluster structure in the tail region. This picture is consistent with the finding of the $α$ knockout reaction on $^{48}$Ti.

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