학술논문
Determination of hexadecapole ($\beta_{4}$) deformation of the light-mass nucleus $^{24}$Mg using quasi-elastic measurement
Document Type
Working Paper
Author
Gupta, Y. K.; Nayak, B. K.; Garg, U.; Sensharma, N.; Shahina; Gandhi, R.; Biswas, D. C.; Şenyiğit, M.; Howard, K. B.; Tan, W.; O'Malley, P. D.; Hagino, K.; Smith, M.; Hall, O.; Hall, M.; deBoer, Richard J.; Ostdiek, K.; Liu, Q.; Long, A.; Hu, J.; Anderson, T.; Skulski, M.; Lu, W.; Lamere, E.; Lyons, S.; Frentz, B.; Gyurjinyan, A.; Van de Kolk, B.; Seymour, C.
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Subject
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Abstract
Quasi-elastic scattering measurements have been performed using $^{16}$O and $^{24}$Mg projectiles off $^{90}$Zr 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 $^{16}$O + $^{90}$Zr reaction are well reproduced by the CC calculations using the vibrational coupling strengths for $^{90}$Zr reported in the literature. Using these vibrational coupling strengths, a Bayesian analysis is carried out for $^{24}$Mg + $^{90}$Zr reaction. The $\beta_{2}$ and $\beta_{4}$ values for $^{24}$Mg are determined to be $+0.43 \pm 0.02$ and $ - 0.11 \pm 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 $^{24}$Mg 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.
Comment: This is a slightly modified version, accepted for publication in Phys. Lett. B
Comment: This is a slightly modified version, accepted for publication in Phys. Lett. B