In this study, the analytical solutions of the radial Schrödinger equation for the central Woods—Saxon potential together with spin-orbit interaction and centrifugal terms have been derived by using Nikiforov-Uvarov method. The energy eigenvalues and corresponding eigenfunctions of nucleons have been obtained for various values of n, l, and j quantum numbers. The obtained results using this method are in satisfactory agreement with available data in the special case.
A non-critical holographic QCD model constructed in the six dimensional Anti-de-Sitter (AdS6) supergravity background is employed to study a the baryon. It is shown that the size of the baryon is of order one with respect to the λ, however, it is smaller than the scale of the dual QCD. An effective four dimensional action for the nucleon is obtained in terms of the meson exchange potentials. All meson-nucleon couplings in the non-critical AdS6 background are calculated. Results obtained using our model are compared with predictions of four modern phenomenological interaction models. Also, our numerical results are compared with the results of the Sakai-Sugimoto (SS) model which indicate that the non-critical holographic QCD model can be a good toy to calculate the meson-nucleon couplings.
In the large 't Hooft coupling limit, the hadronic size of baryon is small and the nucleon-nucleon potential is obtained from massless pseudoscalar exchanges and an infinite tower of spin-one mesons exchanges. In this article we use the holographic nucleon-nucleon interaction and obtain the corresponding potential and binding energy for deuteron and tritium nuclei. The obtained potentials are repulsive at short distances and clearly become zero by increasing the distance as we expected.
A representation of the fusion barrier distributions has been deduced from the back angle quasielastic scattering cross section data in 16,18 Oϩ 12,124 Sn reactions, measured over a wide range of bombarding energies around the Coulomb barrier. The results have been compared with coupled channel calculations using the CCDEF code to study the effects of projectile and target inelastic excitations and nucleon transfer couplings on the representation of fusion barrier distributions in these systems. The present studies bring out the importance of coupling of 2n pickup in the 16
The potential energy of 3 He and 4 He nuclei has been studied using the AdS/CFT correspondence. We consider a holographic picture for 3 He and 4 He nuclei and obtained their potentials using the holographic nucleon-nucleon potential. Then we calculate the binding energies of the nuclei by these potentials. Also, we obtain the energy of some excited states for the 4 He nucleus. Similar calculations show that there is no excited state for the 3 He nucleus. Our results are in good agreement with the experimental data.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.