The radial wave functions of the Bear–Hodgson potential have been used to study the ground state features such as the proton, neutron and matter densities and the associated rms radii of two neutrons halo 6He, [Formula: see text]Li, [Formula: see text]Be and [Formula: see text]B nuclei. These halo nuclei are treated as a three-body system composed of core and outer two-neutron [Formula: see text]. The radial wave functions of the Bear–Hodgson potential are used to describe the core and halo density distributions. The interaction of core-neutron takes the Bear–Hodgson potential form. The outer two neutrons of 6He and [Formula: see text]Li interact by the realistic interaction REWIL whereas those of [Formula: see text]Be and [Formula: see text]B interact by the realistic interaction of HASP. The obtained results show that this model succeeds in reproducing the neutron halo in these nuclei. From the calculated densities, it is found that 6He, [Formula: see text]Li, [Formula: see text]Be and [Formula: see text]B have a long tail in neutron and matter densities which is consistent with the experimental data. Elastic charge form factors for these halo nuclei are analyzed via the plane wave Born approximation.

中文翻译：

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Bear-Hodgson 势研究富中子 6He、11Li、14Be 和 17B 晕核的核物质分布

Bear-Hodgson 势的径向波函数已被用于研究基态特征，例如质子、中子和物质密度以及两个中子晕的相关 rms 半径6He，[式：见文]Li，[式：见文]Be和[式：见文]B核。这些晕核被视为由核心和外部两个中子组成的三体系统[公式：见正文]。Bear-Hodgson 势的径向波函数用于描述核心和晕密度分布。核心-中子的相互作用采取贝尔-霍奇森势的形式。外层的两个中子6He和[公式：见文]Li通过现实交互REWIL进行交互，而[公式：见文]Be和[公式：见文]B通过HASP的现实交互进行交互。所得结果表明，该模型成功地再现了这些原子核中的中子晕。从计算的密度可以看出6He，[公式：见正文]Li，[公式：见正文]Be和[公式：见正文]B在中子和物质密度方面有一条长尾，与实验数据一致。这些晕核的弹性电荷形状因子通过平面波玻恩近似进行分析。