Precise determination of quadrupole and hexadecapole deformation parameters of the -shell Nucleus, Si
Y.K. Gupta (Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai, India, Homi Bhabha National Institute, Anushaktinagar, Mumbai, India); V.B. Katariya (Department of physics, Sardar Vallabhbhai National Institute of Technology, Surat, India); G.K. Prajapati (Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai, India); K. Hagino (Department of Physics, Kyoto University, Kyoto, Japan); D. Patel (Department of physics, Sardar Vallabhbhai National Institute of Technology, Surat, India); et al - Show all 20 authors
Quasi-elastic (QEL) scattering measurements have been performed using a $^{28}$Si projectile off a $^{90}$Zr target at energies around the Coulomb barrier. A Bayesian analysis within the framework of coupled channels (CC) calculations is performed in a large parameter space of quadrupole and hexadecapole deformations ( and ) of $^{28}$Si. Our results unambiguously show that $^{28}$Si is an oblate shaped nucleus with =- which is in excellent agreement with results from electromagnetic probes. The sign and magnitude of quadrupole deformation along with a precise value of hexadecapole deformation (=+) of $^{28}$Si have been determined for the first time using QEL scattering. A remarkable agreement is obtained between the experimental and calculated values of $^{28}$Si based on Skyrme-Hartree-Fock method. The present results demonstrate the strong sensitivity of the quasi-elastic scattering to the sign and magnitude to the ground state deformation parameters, thus affirming its suitability to be used for rare exotic nuclei using low intensity RIBs.
