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Extracting the hexadecapole deformation from backward quasi-elastic scattering

H. M. Jia, C. J. Lin, F. Yang, X. X. Xu, H. Q. Zhang, Z. H. Liu, Z. D. Wu, L. Yang, N. R. Ma, P. F. Bao, and L. J. Sun
Phys. Rev. C 90, 031601(R) – Published 3 September 2014

Abstract

Background: The hexadecapole deformation β4 is usually difficult to determine experimentally, especially its sign. The rapidly accumulated knowledge of β2 inspires the desire of β4 for radioactive nuclei, but the current low-quality beam is a severe experimental challenge. Therefore, a simple but sensitive method to extract β4 in such a condition is urgently called for.

Purpose: To study the feasibility of extracting β4 from the lower-energy backward quasi-elastic (QEL) scattering.

Methods: The QEL scattering at sub-barrier energy region is sensitive to the coupled-channels (CC) effect and consequently may be used to extract β4. The QEL scattering excitation functions for O16+Sm152,Er170, and Yb174 were measured at a backward angle with small energy intervals at energies near the Coulomb barrier. Experimental fusion barrier distributions were also derived. The lower-energy data were analyzed to extract β4 with the help of the CC calculations.

Results: The obtained β4 agrees with the available results reasonably well.

Conclusions: We have demonstrated that the QEL scattering at sub-barrier energies provides a feasible and sensitive method to extract the value of β4, which is essentially meaningful for the radioactive nucleus because of its low beam intensity.

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  • Received 5 June 2014
  • Revised 25 August 2014

DOI:https://doi.org/10.1103/PhysRevC.90.031601

©2014 American Physical Society

Authors & Affiliations

H. M. Jia, C. J. Lin*, F. Yang, X. X. Xu, H. Q. Zhang, Z. H. Liu, Z. D. Wu, L. Yang, N. R. Ma, P. F. Bao, and L. J. Sun

  • China Institute of Atomic Energy, P. O. Box 275(10), Beijing 102413, P. R. China

  • *Corresponding author: cjlin@ciae.ac.cn

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Vol. 90, Iss. 3 — September 2014

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