Microscopic calculation of proton and alpha-particle inelastic scattering to study the excited states of ⁶He and ⁸He

2020/04/30 by Yoshiko Kanada-En’yo, Kanada-En'yo, Yoshiko, Kazuyuki Ogata +1
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2004.14597

openalex publication_date 2020/04/30 · openalex created_date 2020/05/13 · openalex updated_date 2026/07/28

Abstract

Elastic and inelastic cross sections of the p+⁶\textrmHe, p+⁸\textrmHe, and α+⁸\textrmHe reactions were investigated using the Melbourne g-matrix folding approach with the theoretical densities of ⁶\textrmHe and ⁸\textrmHe obtained by a microscopic structure model of antisymmetrized molecular dynamics (AMD). Microscopic coupled-channel (MCC) calculations of the p+⁶\textrmHe and p+⁸\textrmHe reactions were performed to investigate transition properties of the ⁶\textrmHe(2⁺₁) and ⁸\textrmHe(2⁺₁) states. The MCC+AMD calculations reproduced elastic cross sections of the p+⁶\textrmHe reaction at E=40.9 MeV/A and of the p+⁸\textrmHe reaction at E=32.5 and 72 MeV/A, which have both been measured by inverse kinematics experiments. For p+⁶\textrmHe inelastic scattering to the 2⁺₁ state, the calculated result was in reasonable agreement with the (p,p') data at E=24.5 and 40.9 MeV/A and supported the AMD prediction of the neutron transition matrix element M_n=7.9 fm². For the p+⁸\textrmHe inelastic scattering to ⁸\textrmHe(2⁺₁), the MCC+AMD calculation overshot the (p,p') cross sections at E=72 MeV/A by a factor of three. According to a phenomenological model analysis, M_n values in the range of 4--6 fm² were favored to reproduce the ⁸\textrmHe(2⁺₁) cross sections of the p+⁸\textrmHe reaction at E=72 MeV/A. For the α+⁸\textrmHe reaction, the MCC+AMD calculation reproduced the elastic cross sections at E=26 MeV/A. Theoretical predictions of the (p,p') and (α,α') cross sections to the ⁸\textrmHe(0⁺₂), ⁸\textrmHe(1^-₁), ⁸\textrmHe(2⁺₃) and ⁸\textrmHe(3^-₁) states are also given.

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