Fusion excitation functions of 132Sn+64Ni reaction using ℓ-summed Wong Formula
D. Jain 1*, M. K. Sharma 1
1 School of Physics and Material Science, Thapar University, Patiala-147004, India
Neutron-rich radioactive beams have been used in recent past to study the fusion-fission and related processes at low energies. Due to excess neutrons in these nuclei, neutron transfer reactions are supposed to influence the fusion rate significantly and hence such studies become extremely useful to understand nuclear reaction dynamics and related phenomena. Recently, Dynamical Cluster-Decay Model(DCM)  was applied to study the decay of 196Pt formed in 132Sn+64Ni reaction and it was observed that DCM gives a nice description of both ER and fission cross-sections, except that fission cross-sections show some quasi-fission contribution for above barrier energies. Beside this the barrier modifications was shown to be essential requirement for fitting data of below-barrier region. The interesting aspect of this work is that the data is available  over a wide range of energy on either side of Coulomb barrier and hence it will be of further interest to apply the ℓ-summed Wong formula to study the fusion excitation functions of 132Sn+64Ni-->196Pt* -->A1+A2 reaction. In the present work we have studied the effect of different Skyrme forces in the nuclear proximity potential [by using semi-classical Extended Thomas Fermi (ETF) approach in Skyrme Energy Density Formalism (SEDF)] under frozen approximation in the extended ℓ-summed Wong formula . We have made the calculations for 132Sn+64Ni reaction over wide range of centre of mass energies, using three Skyrme forces SIII, GSkI and SSk with in frozen density approach within ETF. Fig.1 shows the comparison of experimental cross-section with ℓ-summed Wong fusion cross-sections as a function of centre of mass energy Ec.m.. One may clearly see that GSkI and SSk forces seem to compare nicely with experimental cross-sections on either side of Coulomb barrier whereas SIII force seems to be working only for higher Ec.m. value, which perhaps indicate that barrier modification is anticipated for the use of SIII force in ℓ-summed Wong formula. It will be of further interest to see the effect of different Skyrme forces in the framework of DCM as well.
1. M. Sharma et al., J. Phys. G: Nucl. Part. Phys. 38, 055104 (2011).
2. Liang J F et al., Phys. Rev. C 75, 054607 (2007); Phys. Rev. C 78, 047601 (2008).
3. C.Y. Wong, Phys. Rev. Lett. 31, 766 (1973); Raj K. Gupta et al, Phys. Rev. C 80, 034618 (2009).
Fig 1: Fusion excitation functions as a function of centre of mass energy Ec.m.