Analysis of 12C12C scattering using different nuclear density distributions

In this work, we use two available models of nuclear density distributions obtained from the electron scattering experiments and the density functional theory (DFT). The OM results show that the former gives better description of the 12C nuclear density distribution than the latter. Therefore, the DFT should be worked on for improving the nuclear density description of 12C in the future.
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Analysis of 12C12C scattering using different nuclear density distributionsScience & Technology Development Journal, 21(3):78- 83 Original ResearchAnalysis of 12C+12C scattering using different nuclear densitydistributionsNguyen Dien Quoc Bao∗ , Le Hoang Chien, Trinh Hoa Lang, Chau Van Tao ABSTRACT Elastic 12 C+12 C angular distributions at three bombarding energies of 102.1, 112.0 and 126.1 MeV were analyzed in the framework of optical model (OM) and compared to the experimental data. The reality of the OM analysis using the double folding potential depends on the chosen nuclear density distributions. In this work, we use two available models of nuclear density distributions obtained from the electron scattering experiments and the density functional theory (DFT). The OM results show that the former gives better description of the 12 C nuclear density distribution than the latter. Therefore, the DFT should be worked on for improving the nuclear density description of 12 C in the future. Key words: Density functional theory, DFT, Double folding potential, Nuclear density, Optical model, Scattering INTRODUCTION latter approach is able to give a physical interpretation to experimental data because of its basic physical in- One of the approaches which we have been utilizing to study nuclear properties is investigation of collisions gredients 2 ; therefore, microscopic models are an ap- of two particles, especially systems of two light heavy pealing topic to study. nuclei, such as 12 C+12 C 1 . Because of the refractive One of such microscopic models is the double fold-Department of Nuclear Physics, Faculty ing model in which the NN interactions and nuclearof Physics and Engineering Physics, effect, the scattering data of this system gives informa-University of Science, VNU-HCM, tion of nuclear potential in a wider range in compari- density of two particles are two crucial inputs. In re-Nguyen Van Cu Street, District 5, Ho son to what the heavy nuclei systems can give. In fact, cent years, D. T. Khoa et al. have developed an en-Chi Minh City ergy and density-dependent NN interaction, namely when two heavy nuclei start overlapping each other, aCorrespondence strong absorption dominates at the surface, and leads the effective CDM3Yn 3 . For the nuclear density, theNguyen Dien Quoc Bao, Department of to non-elastic processes. This phenomenon reduces Fermi form, which is obtained from electron scat-Nuclear Physics, Faculty of Physics and the possibility of other effects which take place in the tering experiments 4 , is a classical distribution. Be-Engineering Physics, University of sides the studies of improving the density approxima-Science, VNU-HCM, Nguyen Van Cu inner region of the nuclei and, thus, prevents us fromStreet, District 5, Ho Chi Minh City getting any information about the nuclear potential in tions for the folding potential, approaches which haveEmail: ndqbao@hcmus.edu.vn this region. Fortunately, the refractive effect, which been developed to study nuclear structure are also able happens in the inner region, can be observed in the to yield the nuclear density. Furthermore, the den-History• Received: 26 July 2018 data of large angles of elastic scattering of light heavy sity functional theory (DFT) for nuclear studies was• Accepted: 07 October 2018 systems 2 , enabling these systems to become promi- developed by P. Ring et al. 5,6 , the Green’s function• Published: 16 October 2018 Monte Carlo (GFMC) technique was investigated in nent objects to study either theoretically or experi-DOI : mentally. the work of J. Carlson et al. 7 , and the ab initio calcula-https://doi.org/10.32508/stdj.v21i3.431 One well-known model, which is able to handle the tion was studied by M. Gennari et al. 8 . It is important calculation of the scattering of two particles, is the op- to study nuclear reaction by applying these methods tical model (OM). In this model, a complex poten- to obtain the density of particles, before putting it into tial, a so-called optical potential (OP), is util ...