Analysis of the12C+24Mgreaction using a new coupling potential

Abstract

We introduce a new coupling potential to explain the experimental data for the 12 C+ 24 Mg system at numerous energies in the laboratory system from 16.0 MeV to 24.0 MeV. This new coupled-channels based approach involves replacing the usual first derivative coupling potential by a new, secondderivative coupling potential. This paper first shows and discusses the limitation of the standard coupled-channels theory in the case where one of the nuclei in the reaction is strongly deformed. Then, this new approach is shown to improve consistently the agreement with the experimental data and has made major improvement on all the previous coupled-channels calculations for this system.

Investigation of the coupling potential by means ofS-matrix inversion

“…This has been a major problem for the last couple of decades, but a new coupling potential proposed by these authors solves many of these problems. This new coupling potential also successfully explains elastic and inelastic scattering of the 12 C+ 24 Mg and 16 O+ 28 Si systems over a very wide range of energies [2,3,4].…”

Possible hyperdeformed band inAr36observed inC12Sciani1, Otani2, Lépine‐Szily3 et al. 2009Phys. Rev. C350110View full textAdd to dashboardCite

“…The first and most striking representative of this phenomenon is provided by the 12 C + 12 C system, in which sharp structures were observed even below the Coulomb barrier [1,13] in the elastic scattering and in reaction channels, with the emission of p, α, n, or γ , or in the fusion and reaction cross-sections. The narrow resonances (width of few hundred keV) were strongly correlated in all channels and presented a very large partial width for decay into 12 C + 12 C. More recent data [14,15] on the 12 C + 12 C inelastic scattering indicate that the molecular band terminates with a cluster state of spin J π = 22 + in the compound system 24 Mg, at around E c.m. = 43 MeV.…”

New results in the analysis of16O+28Sielastic scattering by modifying the optical potential

“…In this paper, by taking this feature into account, we consider an extensive investigation of the elastic scattering of this system at numerous energies by using a modified potential. Similar to the previously conducted coupled-channels analyzes for such systems [5,8,20,21], this new technique modifies the shape of the potential at the surface. Thus, we aim to address the above-mentioned problems within the framework of the Optical model and to obtain results that are as good as the results of the coupled-channels method.…”

“…Consequently, the following problems continue to exist for this reaction [5,8,20,21]: (1) The explanation of anomalous large angle scattering data; (2) the reproduction of the oscillatory structure near the Coulomb barrier; (3) the out-of-phase problem between theoretical predictions and experimental data; (4) the consistent description of angular distributions together with the excitation functions data.…”

“…Within the framework of the coupled-channels method, we have analyzed such light heavy-ion reactions that pose the above-mentioned problems [5,8,20,21]. The new approach that we proposed within the coupled-channels method has successfully explained the ex- Mg. One feature we observed in these analyzes was that these reac-tions were extremely sensitive to the shape of the nuclear potential in the surface region.…”