发表机构
Kyoto University; RIKEN; The University of Osaka; University of Tsukuba; China Institute of Atomic Energy (CIAE)（京都大学; 理化学研究所; 大阪大学; 筑波大学; 中国原子能科学研究院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出利用高自旋同核异能态的自旋皮厚度作为探针，约束自旋极化核物质状态方程的自旋斜率参数，并通过$^{52}$Fe的$12^+$态计算验证其可行性。
AI 中文摘要
我们探索了用于约束自旋极化核物质状态方程（EOS）的实验探针，其中核子的自旋沿特定方向排列。为此，我们利用相对论点耦合模型计算了$^{52}$Fe核的$12^+$同核异能态。我们认为，这一高自旋态的自旋皮厚度，即自旋向上密度半径与自旋向下密度半径之差，与EOS的自旋斜率参数强相关。这类似于众所周知的对称能斜率参数与有限核中子皮厚度之间的线性相关性。我们表明，即使考虑$12^+$态与基态之间的半径差，这种相关性仍然保持，尽管相关性比自旋向上与自旋向下半径之差的情况弱得多。我们还讨论了$12^+$态的均方电荷半径。我们发现，通过取半径的平方，对自旋斜率参数的依赖性变得更强，因此在激光光谱实验具有高分辨率的情况下，它可以作为自旋斜率参数的良好探针。
英文摘要
We explore experimental probes for constraining the equation of state (EOS) of spin-polarized nuclear matter, where spins of nucleons are aligned along a particular direction. For this purpose, we calculate the $12^+$ isomeric state of the \ce{^{52}Fe} nucleus with the relativistic point-coupling model. We argue that the spin skin thickness of this high-spin state, that is, the difference between the radius of the spin-up density and that of the spin-down density, strongly correlates with the spin slope parameter of the EOS. This is in analogy to the well known linear correlation between the slope parameter of the symmetry energy and the neutron skin thickness of finite nuclei. We show that this correlation is retained even when one considers the difference of the radii between the $12^+$ and the ground states, even though the correlation is much weaker than in the case of the difference between the spin-up and the spin-down radii. We also discuss the mean-square charge radii of the $12^+$ state. We find that by taking the square of the radii the dependence on the spin slope parameter becomes much stronger, and thus it can serve as a good probe of the spin slope parameter given a high resolution of laser-spectroscopy experiments.
Comments10 pages, 3 figures
