Channel-coupling effects in heavy-ion fusion reactions

Theoretical study of fusion reactions 32S + 94,96Zr and 40Ca + 94,96Zr and quadrupole deformation of 94Zr

“…For 32 S + 96 Zr and 40 Ca + 96 Zr, it can be seen that the calculated results are in good agreement with the experimental values. But, for 32 S + 94 Zr and 40 Ca + 94 Zr, the calculated results underestimate the sub-barrier cross sections considerably. To understand this underestimation, we follow Jia et al [41] and examine the relative enhancement.…”

“…The parameters of the potential used in the reduction procedure are obtained from the SPP and listed in Table 2. On one hand, the deviations of the reduced fusion excitation functions from the UFF for 32 Ca + 94,96 Zr. This implies that the enhancement of the sub-barrier cross sections due to the coupling effects in 32 S, 40 Ca + 94,96 Zr are much larger than that in 32 S, 40 Ca + 90 Zr.…”

“…4(b), one can find that the relative enhancements for the reactions with 94 Zr as target are much larger than those for the reactions with 96 Zr as target. This implies that if the estimates of the enhancement due to inelastic excitations channel couplings for the 32 Next let's discuss the discrepancies between the calculated fusion cross sections and the experimental values from another viewpoint: We first estimate the effect of coupling to the PQNT channels, then constrain the coupling effects due to inelastic excitation channels. Within the ECC model, for 32 S + 94,96 Zr and 40 Ca + 94,96 Zr, the influence of neutron transfer should be almost the same because Q(2n) values for these four reactions are very similar (see Table 1).…”

“…The study of fusion reaction mechanism is also of fundamental importance for understanding the synthesis of superheavy elements, properties of weakly bound nuclei, and symmetry energy of the nuclear equation of state [8][9][10][11][12][13][14][15][16][17] Up to now, lots of important information about fusion dynamics at energies near the Coulomb barrier, especially at sub-barrier energies, are obtained through experimental and theoretical studies, such as the fusion hindrance phenomenon at extreme low energies-a steep falloff of the fusion cross sections [18][19][20][21][22][23], the role of the neutron transfer effect in the fusion [24][25][26][27], the breakup effect on the fusion reactions process [28][29][30][31][32][33][34][35], etc..…”

“…In Ref. [41], a large enhancement for the sub-barrier fusion cross sections was deduced in 32 Ca + 94,96 Zr with the universal fusion function (UFF) formalism and the ECC model. We will first investigate the dynamic coupling effects on fusion cross sections with the UFF formalism.…”