Reaction cross-sections for light nuclei on¹²C using relativistic mean field formalism

Abstract

The reaction cross-sections are calculated for various Li, Be and B+ 12 C systems, also involving the exotic halo nuclei, by using both the spherical and deformed relativistic mean field (RMF) densities in the finite range Glauber model with Coulomb effects included. For reactions at higher energies (>500 MeV/nucleon), both the spherical and deformed RMF densities give similar results for all the isotopic chains of exotic nuclei studied here. On the other hand, for reactions between stable nuclei, though the two RMF densities (spherical and deformed) result in simply an overall normalization for the excitation functions, it gives an improved comparison with experimental data, at high and low energies for spherical and deformed densities, respectively. A similar normalization is obtained for other densities, which means to stress that, though densities are different, they do not change much with the excitation energy. Finally, some details of the characteristic properies of exotic light nuclei are shown to contain the deformation effects of the halo nuclei.

Nuclear reaction studies of unstable nuclei using relativistic mean field formalisms in conjunction with the Glauber model

“…Sequences of (predominantly unmeasured) nuclear reactions occurring in exploding stars are therefore quite different than sequences occurring at lower temperatures, for example, characteristic of those occurring in Sun. The direct study of stellar properties in ground-based laboratories has become more attractive, due to the availability of RIBs, for example the study of 18 Ne induced neutron pick-up reaction could reveal information about the exotic 15 O+ 19 Ne reaction happening in the CNO cycle in burning stars. Study of the structure and reactions of unstable nuclei is therefore required to improve our understanding of the astrophysical origin of atomic nuclei and the evolution of stars and their (sometimes explosive) deaths.…”

“…This model requires the structure information, namely the density profiles, of the nuclei involved. This information has to be provided by nuclear structure models, like the relativistic mean field (RMF) theory which is effectively used for this purpose recently [14,15].…”

Formation of Neutron-Rich and Superheavy Elements in Astrophysical Objects

“…It was shown in our earlier papers that the densities taken from relativistic mean field formalism, and used in the frame-work of Glauber model [14,24] to evaluate the differential and total reaction cross-section is quite successful for light systems [19][20][21]. Now we extend the model to calculate the total reaction cross-section considering light exotic nuclei as projectile and heavy neutron-rich isotopes as target.…”

“…The detailed formalism is available in Ref. [19][20][21]. The E-RMF density with G2 parameter set [10][11][12][13]22,23] is used as input for the evaluation of σ r .…”

“…For the details of the calculation of ground state properties of finite nuclei and the procedure of estimation of nuclear reaction cross-section, we refer the reader to Refs. [19][20][21][22][23][24]. To compute the fusion cross-section σ f we fol-low the coupled-channel calculations including all orders of coupling.…”