Zhou, SG (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.
The dynamic coupling effects on fusion cross sections for reactions S-32 + Zr-94,Zr-96 and Ca-40 + Zr-94,Zr-96 are studied with the universal fusion function formalism and an empirical coupled channel (ECC) model. An examination of the reduced fusion functions shows that the total effect of couplings to inelastic excitations and neutron transfer channels on fusion in S-32 + Zr-94 (Ca-40 + Zr-94) is almost the same as that in S-32 + Zr-96 (Ca-40 + Zr-96). The enhancements of the fusion cross section at sub-barrier energies due to inelastic channel coupling and neutron transfer channel coupling are evaluated separately by using the ECC model. The results show that effect of couplings to inelastic excitations channels in the reactions with Zr-94 as target should be similar as that in the reactions with Zr-96 as target. This implies that the quadrupole deformation parameters beta(2) of Zr-94 and Zr-96 should be similar to each other. However, beta(2)'s predicted from the finite-range droplet model, which are used in the ECC model, are quite different. Experiments on Ca-48 + Zr-94 or S-36 + Zr-94 are suggested to solve the puzzling issue concerning beta(2) for Zr-94.
National Key Basic Research Program of China [2013CB834400]
; National Natural Science Foundation of China [11175252, 11120101005, 11275248, 11475115, 11525524]
; Chinese Academy of Sciences [KJCX2-EW-N01]
Wang, B,Zhao, WJ,Zhao, EG,et al. Theoretical study of fusion reactions S-32+Zr-94,Zr-96 and Ca-40+Zr-94,Zr-96 and quadrupole deformation of Zr-94[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2016,59(4):642002.