The mass number dependence of nuclear radii is closely related to the properties of nuclear matter. It is known that most nuclei exhibit some deformation. We discuss how the nuclear density profile is modified by nuclear deformation to elucidate the enhancement mechanism of nuclear radii through a systematic investigation of neutron-rich Ne, Mg, Si, S, Ar, Ti, Cr, and Fe isotopes. Skyrme–Hartree–Fock calculations are performed in a 3D Cartesian grid to describe the nuclear deformation in a non-empirical way. The role of nuclear deformation in nuclear density profiles is explored in comparison to calculations with a spherical limit. We find correlations between nuclear deformation and the internal nuclear density. The evolution of nuclear radii appears to follow the core swelling mechanism recently proposed in spherical nuclei [W. Horiuchi and T. Inakura, Phys. Rev. C 101, 061301(R) (2020)], and the radius is further enhanced by nuclear deformation. This study demands further theoretical and experimental investigations for the internal density.

中文翻译：

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变形对轻质和中等质量富中子核密度分布和半径增强的影响

核半径的质量数依赖性与核物质的性质密切相关。众所周知，大多数原子核都表现出一些变形。我们通过对富中子的 Ne、Mg、Si、S、Ar、Ti、Cr 和 Fe 同位素的系统研究，讨论了如何通过核变形来修改核密度分布，以阐明核半径的增强机制。Skyrme-Hartree-Fock 计算在 3D 笛卡尔网格中执行，以非经验方式描述核变形。与球形极限的计算相比，探讨了核变形在核密度分布中的作用。我们发现核变形和内部核密度之间的相关性。核半径的演化似乎遵循最近在球形核中提出的核心膨胀机制 [W. 堀内和T. 稻仓，物理。Rev. C 101, 061301(R) (2020)]，并且通过核变形进一步增强了半径。这项研究需要对内部密度进行进一步的理论和实验研究。