Determination of hexadecapole (beta(4)) deformation of the light-mass nucleus Mg-24 using quasi-elastic scattering measurements

摘要

Quasi-elastic scattering measurements have been performed using O-16 and Mg-24 projectiles off Zr-90 at energies around the Coulomb barrier. Experimental data have been analyzed in the framework of coupled channels (CC) calculations using the code CCFULL. The quasi-elastic scattering excitation function and derived barrier distribution for O-16 + Zr-90 reaction are well reproduced by the CC calculations using the vibrational coupling strengths for Zr-90 reported in the literature. Using these vibrational coupling strengths, a Bayesian analysis is carried out for Mg-24 + Zr-90 reaction. The beta(2) and beta(4) values for Mg-24 are determined to be +0.43 +/- 0.02 and -0.11 +/- 0.02, respectively. The beta(2) parameter determined in the present work is in good agreement with results obtained using inelastic scattering probes. The hexadecapole deformation of Mg-24 has been measured very precisely for the first time. Present results establish that quasi-elastic scattering could provide a useful probe to determine the ground state deformation of atomic nuclei. (C) 2020 The Author(s). Published by Elsevier B.V.