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arXiv 2301.07296nucl-thhep-phnucl-ex
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双中子晕核的三体耦合沟道框架

Three-body coupled channel framework for two-neutron halo nuclei

Jin-Yi Pang, Li-Tan Li, Feng-Kun Guo, Jia-Jun Wu

摘要:

在非相对论有效场论形式下,考虑中子-中子和中子-核相互作用,研究了由一个核和两个中子组成的博罗米安核。给出了电荷半径和物质半径的计算公式,成功地再现了Hongo和Son基于无限中子-中子散射长度近似和忽略中子-核散射的普适关系式.一旦现实的有限的中子-中子和中子-芯散射长度被使用,电荷和物质半径的中子-芯通道的影响,在一个日益相关的方式。得到了三体Borromean系统的结合能、电荷半径与物质半径之比、中子-中子散射长度与核-中子散射长度之比之间的关系。我们发现,$^{22}$ C的两个中子的分离能量需要为$\lesssim 2$ keV,以符合$^{22}$ C的物质半径和$^{20}{\rm C}\,n$ $S$ -波散射长度的实验约束。

英文摘要:

We study the Borromean nuclei formed by a core nucleus and two neutrons in a nonrelativistic effective field theory formalism considering both neutron-neutron and neutron-core interactions. We provide formulae of the charge and matter radii, and successfully reproduce the universal relation proposed by Hongo and Son based on the approximation of an infinite neutron-neutron scattering length and neglecting the neutron-core scattering. Once the realistic finite neutron-neutron and neutron-core scattering lengths are used, the charge and matter radii are influenced by the neutron-core channel in a growingly relevant manner. We obtain a relation among the binding energy of the three-body Borromean system, the ratio between charge and matter radii, and the ratio between the neutron-neutron and core-neutron scattering lengths. We find that the two-neutron separation energy for $^{22}$C needs to be $\lesssim 2$ keV in order to be consistent with the experimental constraints of the matter radius of $^{22}$C and the $^{20}{\rm C}\,n$ $S$-wave scattering length.

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