Recently measured reaction cross sections with low energy fp-shell nuclei as projectiles: Microscopic description

Abstract

The finite range Glauber model along with the Coulomb modification is used to analyze recently measured reaction cross sections with neutron-deficient Ga, Ge, As, Se, and Br isotopes as low-energy projectiles incident on 28 Si target. The required input, namely the neutron and proton density distributions of the relevant projectiles and the target, are calculated in the relativistic mean-field framework. Though the calculations qualitatively agree with the experiment, on the average, slightly overestimate the cross sections. A phenomenological expression with a single parameter is proposed that consistently improves the agreement with the experiment.

Systematics of strong absorption radii and its relevance to the calculation of reaction cross sections

“…However, at low projectile energies, the ZRGM needs to be modified to include (1) finite range effects [4][5][6] and (2) Coulomb modification of straight line trajectories [7]. The resulting FRGM has been shown to be successful to accurately reproduce the observed reaction cross sections at low projectile energies (see, for example, [4,6,[8][9][10]). At high projectile energies, in the zero-range limit, the FRGM reduces to the ZRGM as expected.…”

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

“…In this paper, we study some of the characteristic properties of light exotic nuclei and their reaction cross-sections (σ r ) with stable nuclei, say, 12 C with an aim to understand the role of deformation of these nuclei, claimed to be halo nuclei. We use the deformed relativistic mean field (RMF) densities in the Glauber model, which, when compared with the corresponding spherical RMF densities, give similar comparisons of the calculated results with the measured reaction cross-sections for all exotic halo nuclei.…”

“…This model requires the structure information, namely, the density profiles of the nuclei involved. This information has to be provided by the nuclear structure models, such as the RMF formalism which has been recently used effectively for this purpose [12]. The standard Glauber form for the reaction cross-sections at high energies is expressed [9] as…”

“…In this work, we have used the well-known NL-SH parameter set [21] for both the spherical and deformed densities and compared our results with that for the NL3 parameter set for the spherical case. The NL3 set does not give proper convergence for the (deformed) ground state of 12 C [20].…”

“…As a test application of the Glauber model, we have first calculated the total reaction cross-section σ r for the 12 C+ 12 C system, 12 C being a well-studied [22][23][24][25][26] stable nucleus. In addition to the above-mentioned RMF(NL-SH, sph.…”