Neutron density distribution and the halo structure ofC22

Abstract

The recently measured reaction cross sections for the neutron-rich carbon isotopes ( 19 C, 20 C, and 22 C) on a proton target at 40 A MeV are analyzed using the finite range Glauber model (FRGM) and the microscopic optical potential calculated within the Brueckner-Hartree-Fock formalism (BHF). In FRGM nucleon-nucleon cross sections are used, while in the latter (BHF), Hamada-Johnston, Urbana v-14, and the Argonne v-18 internucleon potentials are employed to calculate the microscopic optical potential. The required nucleon density distributions are calculated within the relativistic mean-field (RMF) framework. To test the halo structure, the extended neutron density distribution for 22 C is also used. The analysis reveals that the BHF results of all three internucleon potentials are very close to each other, and also agree with the corresponding results of the FRGM. Our results, using RMF densities, are in agreement with the experimental data for all isotopes of carbon except 22 C, for which we require extended neutron density distribution, indicating a halo structure.

Matter radii of29–35Mg

“…For a chain of neutronrich C nuclei, a recent comparison [13] of our calculations with those of one of these more sophisticated models [14] gave excellent agreement-except for the case of 17 C, for which the two calculations used different configurations. Our calculations also agreed reasonably well with measured values [15] of R m for these [15][16][17][18][19][20]…”

“…It was later proposed by Bhagwat et al [16] for use in a much more sophisticated model. The 2n procedure and the approximation of B n = B 2n /2 has become a common feature of work in this field [11,14,[17][18][19]. In order to make a 0 + state, the last two neutrons must be identical.…”

ANALYSIS OF p-4, 6, 8He AND p-6, 9, 11Li SCATTERING

“…In addition, we also employ phenomenological (Pheno) density distributions proposed and successfully applied [43][44][45][46][47] for the description of loosely bound nuclei. These density distributions (Pheno and those reported in Refs.…”

Description of carbon isotopes within relativistic Hartree-Fock-Bogoliubov theory

“…One of the representatives is the nuclear halo structure characterized by a dilute matter distribution contributed by several (in general two) loosely bound valence neutrons (or protons) surrounding a condensed core, which was first found in 11 Li [5]. As the typical light nuclei, the Carbon isotopes have been devoted many efforts to probing the possible halo structure [6][7][8] and specifically recent measured reaction cross section of 22 C [9] seems to assert a new two-neutron halo structure, which has also attracted fairly large interests from the community [10][11][12].…”