We investigated the development and breaking of the dineutron correlation in ${}^{10}\mathrm{Be}$ by analyzing the elastic and inelastic scatterings with a framework combining the microscopic structure and reaction models. For studying the structure, the ${}^{10}\mathrm{Be}$ nucleus was constructed under the assumption of a four-body ($\alpha +\alpha +n+n$) cluster model. In this paper, we focused on the change in the inner structure for the $0_1^{+}$, $2_1^{+}$, and $2_2^{+}$ states when the strength of the spin-orbit interaction is varied. The inner structure, including various physical quantities such as energy, radius, and transition strength, is drastically influenced by the strength of the spin-orbit interaction. In particular, the development and breaking of the dineutron correlation are governed by the spin-orbit strength. The differences in the inner structure can be manifested by applying the obtained wave functions to elastic and inelastic scatterings with a proton target at $E/A=$ 59.4 and 200 MeV. Although the $0_1^{+}$ and $2_1^{+}$ states are significantly influenced by the spin-orbit strength of the nuclear structure calculation, the elastic and inelastic cross sections are not much affected. On the other hand, the inelastic cross section of the $2_2^{+}$ state depends greatly on the spin-orbit strength of the structure calculation. Thus, we discovered a way to measure the degree of the development of the dineutron cluster structure based on its sensitivity to the inelastic cross section of the $2_2^{+}$ state of ${}^{10}\mathrm{Be}$.

• Received 6 May 2021
• Revised 27 July 2021
• Accepted 3 September 2021

DOI:https://doi.org/10.1103/PhysRevC.104.034613