Drastic change in inelastic scattering depending on the development of dineutron correlation in ${}^{10}$Be

Abstract

We investigated the development and breaking of the dineutron correlation in ${}^{10}$Be by analyzing the elastic and inelastic scatterings with a framework combing the microscopic structure and reaction models. For studying the structure, the ${}^{10}$Be nucleus was constructed under the assumption of a four-body ($\alpha +\alpha +n+n$) cluster model. In this work, 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 is 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 dineutron cluster structure based on its sensitivity to the inelastic cross section of the 2${}_2^{+}$ state of ${}^{10}$Be.

arXiv comment22 pages, 7 figures, accepted for publication in Physical Review C

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Cited by in corpus (3)

• Optimization of basis functions for the multi-configuration mixing using the Replica Exchange Monte-Carlo method and its application to ${}^{12}$C
• Systematic study for relation between nuclear structure and reaction in ${}^{10}$Be nucleus
• Investigation of the determination of nuclear deformation using high-energy heavy-ion scattering