Background:The hexadecapole deformation β 4 is usually difficult to determine experimentally, especially its sign. The rapidly accumulated knowledge of β 2 inspires the desire of β 4 for radioactive nuclei, but the current low-quality beam is a severe experimental challenge. Therefore, a simple but sensitive method to extract β 4 in such a condition is urgently called for. Purpose: To study the feasibility of extracting β 4 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 β 4 . The QEL scattering excitation functions for 16 O + 152 Sm, 170 Er, and 174 Yb 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 β 4 with the help of the CC calculations. Results: The obtained β 4 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 β 4 , which is essentially meaningful for the radioactive nucleus because of its low beam intensity.