Quasielastic-scattering cross sections of 28 Si+ 58 ' 64 Ni have been measured in the energy range £c.m. = 50.0-76.5 MeV. The transfer channels with a large cross section produce a considerable effect on the elastic scattering for 28 Si+ 64 Ni, while the effect is small for 28 Si+ 58 Ni because of the small transfer yield. A coupled-channels calculation including one-neutron transfer and inelastic excitation explains well not only the energy dependence but also the isotope dependence of the quasielastic scattering with a single energy-and isotope-independent bare potential.
PACS numbers: 25.70.CdThe strong energy dependence of the optical potential near the Coulomb barrier 1 "" 4 has generated renewed interest in heavy-ion elastic scattering. A number of optical-model analyses of elastic-scattering data have indicated that the depth of the real part of the optical potential shows first a marked increase and then a decrease as the bombarding energy is lowered near the Coulomb barrier. This behavior originates from the virtual excitation of inelastic-and transfer-reaction channels, which occurs during the relatively long collision times at lower energies. Coupled-channels calculations 5,6 made for 16 O+ 208 Pb have indicated that the coupling to the quasielastic channels dramatically changes the shape of the real part of the optical potential. The attraction of the nuclear force increases, thereby enhancing the subbarrier-fusion cross section. The energy dependence of elastic, quasielastic, and fusion cross sections near the Coulomb barrier has been explained within the coupledchannels calculations using a single energy-independent real bare potential.An isotope dependence 7 " 9 of the quasielastic cross section is another important source for clarifying the coupling effect of the quasielastic channels near the Coulomb barrier. Experimental and theoretical studies 10,11 have been made of the fusions reactions of 28 Si+ 58,64 Ni at near-barrier energies. These systems have shown a strong isotope dependence 10 in the subbarrier-fusion yield. It was concluded 11 that the large difference of the sub-barrier-fusion yields should be due to the effect of transfer channels with very different cross sections. The present measurements of the quasielastic reactions for the systems 28 Si+ 58 ' 64 Ni, therefore, provide us with a rather complete knowledge of the heavyion reactions near the Coulomb barrier. It will be shown that transfer channels with very different cross sections