α−αdouble folding cluster potential description of theC12+

Abstract

We present a simultaneous analysis of the elastic scattering and fusion cross-section data of the 12 C + 24 Mg system around the Coulomb barrier and over energies by using the microscopic α-α double folding cluster potential within the framework of the optical model and the coupled-channels formalism. The α-α double folding cluster potential is obtained by using the α-cluster distribution densities of the nuclei in the usual double folding procedure. The microscopic potential results are compared with the findings of the phenomenological deep and shallow potentials. It is subsequently shown that only phenomenological deep, real, microscopic nucleon-nucleon and α-α double folding cluster potentials provide a consistent description of the angular distributions and fusion cross-section data simultaneously. The effect of the inclusion of the excited states of the target nucleus 24 Mg on the fusion cross-section predictions is also determined by the coupled-channels calculations, which are shown to improve the agreement.Determining the shape of the nuclear potential between two colliding pairs is a long-standing problem. Theoretical investigations of the precisely measured experimental data at high energies well over the Coulomb barrier for systems like 12 C + 12 C and 16 O + 16 O have led to the determination of the gross features of the local optical potentials. Subsequently, ambiguities have been clarified in many cases regarding the depths of the real parts of the nuclear potentials [1]. However, it is not yet possible to claim the same conclusive arguments for the shape of the nuclear potential for the reactions around the Coulomb barrier. The theoretical analysis suffers from a number of serious drawbacks such as the failure to determine the shape of the interaction potential, the reproduction of the oscillatory structure, and the out-of-phase problem between theoretical predictions and experimental data.In this context, the 12 C + 24 Mg reaction [2-6] has been extensively investigated both experimentally and theoretically. The conventional optical model analysis conducted so far fails to explain all or some of the experimental data by using shallow or deep optical potentials [2][3][4]. Moreover, there has been no detailed microscopic study using folding models that attempts to explain the individual angular distributions and fusion cross-sections data simultaneously. Therefore, we aim to analyze the 12 C + 24 Mg system for energies from 16.0 to 24.0 MeV by using the α-α microscopic double folding cluster (DFC) potential. Our results are shown in comparison with the nucleon-nucleon double folding (NN-DF) potential and phenomenological shallow (WS S ) and deep (WS 2 D ) real potentials.In this Brief Report, we first introduce the potentials used in the optical model and coupled-channels (CC) formalism. Then the optical and CC results are shown and conclusions are drawn.To make a comparative study of this reaction, we have used four different potentials for the real part of the optical model potential: Two are mic...

Effects ofα-cluster potentials for theO16+OKocak1, Karakoç2, Boztosun3 et al. 2010Phys. Rev. CSelf Cite398820View full textAdd to dashboardCite

“…The numbers of neutrons and protons in the nucleus we study in this paper are integer multiples of those of an α particle, and such nuclei can demonstrate an α-cluster structure [25][26][27][28]. Therefore, it will be interesting to obtain the interaction potential by considering the α-particle structure of 16 O.…”

ElasticO16+Ne20scattering from a folding model analysis

“…It has been shown that folding model potentials give a good account of the scattering between some 4N-type nuclei. For example, the 12 C+ 12 C, 16 28 Si elastic scattering data have been well described by folding potentials in diverse approaches [8][9][10][11][12][13][14][15][16]. However, for 16 O+ 20 Ne scattering, there is only one paper [17] involving a calculation using a folding potential; no other studies are available using a folding model to attempt to explain the 16 O+ 20 Ne scattering.…”

Possible hyperdeformed band inAr36observed inC12Sciani1, Otani2, Lépine‐Szily3 et al. 2009Phys. Rev. C360110View full textAdd to dashboardCite

“…More recently, many attempts have been made and published to reproduce these data using deep real potentials. To be able to reproduce the elastic and inelastic data, small additional derivatives were added to the deep real potential [24][25][26][27], or modified Ginocchio-type potentials were used [28].…”