Precise determination of quadrupole and hexadecapole deformation parameters of the $sd$-shell nucleus, $^{28}$Si
Abstract
Quasi-elastic (QEL) scattering measurements have been performed using Si projectile off a 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 Si. Our results clearly show that Si is an oblate shaped nucleus with =- which is in excellent agreement with electromagnetic probes. A precise value of hexadecapole deformation for Si, =+, along with a consistent value of quadrupole deformation has now been determined for the first time using QEL scattering. A remarkable agreement between the experimental value of Si and Skyrme-Hartree-Fock based calculations is obtained. The QEL results obtained previously for Mg (prolate) and the present result for Si (oblate) hereby affirm the strong sensitivity of the quasi-elastic scattering to ground state deformations, thus reinforcing its suitability as a potential probe for rare exotic nuclei.
Keywords
Cite
@article{arxiv.2303.12495,
title = {Precise determination of quadrupole and hexadecapole deformation parameters of the $sd$-shell nucleus, $^{28}$Si},
author = {Y. K. Gupta and V. B. Katariy and G. K. Prajapati and K. Hagino and D. Patel and V. Ranga and L. S. Danu and A. Pal and B. N. Joshi and S. Dubey and V. V. Desai and S. Panwar and U. Garg and N. Kumar and S. Mukhopadhyay and Pawan Singh and N. Sirswal and R. Sariyal and I. Mazumdar and B. V. John},
journal= {arXiv preprint arXiv:2303.12495},
year = {2023}
}