用Glauber模型和微观相对论平均场密度探索$^{37}Mg$晕结构
Quest of $^{37}Mg$ halo structure using Glauber model and microscopic relativistic mean field densities
摘要：
本文用相对论平均场方法研究了Mg同位素在稳定谷至滴水线区域的基态性质（结合能和电荷半径）。在反应动力学的背景下分析了RMF密度。用Glauber模型结合相对论平均场密度公式计算了入射能量为240 AMeV的$^{24-40}$ Mg + $^{12}$ C反应，并与实验结果进行了比较.除$^{37}$ Mg同位素外，反应截面的估算值与实验值吻合较好。据此，通过均方根半径的高值和纵向动量分布的低值，考察了$^{37}$ Mg的晕状态。最后，利用Glauber少体理论对$^{37}$ Mg晕候选体的结构进行了探索.
英文摘要：
We have studied the ground state properties (binding energy and charge radius) using relativistic mean filed formalism (RMF) for Mg-isotopes in the valley of stability to drip line region. The RMF densities have been analyzed in context of reaction dynamics. The calculated results of $^{24-40}$Mg+$^{12}$C reactions at projectile energy 240 AMeV using Glauber model with the conjunction of densities from relativistic mean field formalism are compared with experimental data. We found remarkable agreement of estimated values of reaction cross sections with experimental data except for $^{37}$Mg isotope. In view of this, the halo status of $^{37}$Mg is examined through higher magnitude of rms radius and small value of longitudinal momentum distribution. Finally, an effort is made to explore the structure of $^{37}$Mg halo candidate using Glauber few body formalism.
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