Modified Glauber model for the description of elastic scattering between heavy ions

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.

“…This effect can be incorporated in the Glauber model through the classical perihelion. Under this assumption, the Coulomb modified impact parameter (b ) can be written as [30]:…”

Section: Essentials Of Glauber Model: Reaction Cross Sectionmentioning

confidence: 99%

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

Bhagwat

Gambhir²

2006

“…The CMGM [7,8] consists of replacing the eikonal trajectory at an impact parameter b with the eikonal trajectory at the corresponding distance r c of closest approach. The distance of closest approach r cn in the presence of both the Coulomb and nuclear potential [9] is obtained by solving Eq.…”

Section: B Trajectory Modifications In the Glauber Modelmentioning

confidence: 99%

“…There have been various prescriptions [13,14] to modify the NN cross sections due to nuclear density. Most of the work reported earlier [7,8,10,9,13,14] has been done using Gaussian densities. The reaction cross section is sensitive to surface density of the colliding nuclei.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Glauber model and the heavy ion reaction cross section

Shukla

2003

“…An earlier eikonal model analysis of this system, at 60 MeV/nucleon ͓14͔, was in reasonable agreement with available quasielastic scattering data. The 8 He system has been chosen here, not due to these data, but because in 8 He the larger number of clusters ͑five͒ involved occupy a relatively smaller volume than is usual for halo nuclei, and thus those effects generated through the overlapping potentials should be emphasized for this system. Our use of the harmonic oscillator based cluster orbital shell model approximation ͑COSMA͒ for the 8 He wave function ͓24͔, with Gaussian rather than realistic single nucleon asymptotics, also confines the valence nucleons to smaller radii and will thus also tend to increase the importance of the overlapping potential contributions.…”

mentioning

confidence: 99%

Correlated scattering corrections to eikonal few-body models

Brooke

Tostevin

2000

A basic assumption which underpins recent applications of eikonal few-body models to nuclear scattering and nuclear reactions is that of the addition of the constituent scattering phases. We investigate the accuracy of this assumption in the case of the elastic scattering of 8 He, treated as a five-constituent (␣ϩ4n) system, from a light target nucleus at energies of 10's of MeV/nucleon. To do so we calculate Feshbach's correlated scattering or overlapping potential contributions to the eikonal model phase shifts in this many-body case. We find that even for 8 He, with ten contributing pair-wise potential overlaps, these terms introduce corrections that are small in comparison with available experimental precision and also compared to those phase additive noneikonal corrections which arise from the use of an improved description of the phase shifts for each of the constituent-target subsystems within the few-body model.