Numerical investigation of non-eikonal corrections to the Glauber model at intermediate energies

Reaction cross sections for protons onC12,Ca40,ZrAuce1, Ingemarsson2, Johansson3 et al. 2005Phys. Rev. C835590View full textAdd to dashboardCite

“…This approach is quite accurate for protons, since noneikonal effects on the reaction cross sections for protons are rather small [15]. In the eikonal approach, the phase shift function for the impact parameter b, χ(b), is calculated from…”

Reaction cross sections for 75–190 MeV alpha particles on targets fromC12toAuce1, Carlson2, Cox3 et al. 1994Phys. Rev. C

“…5. In general, for all energies and values of AT, the reaction cross sections, divided by p I I I I I i I I I I I I I I I I i I I I I I I I I I I i i I I I I I I I I I I I I I I I 5p~~~o~1 03.2 MeV 3000 p iii il 5p I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I 2500 129.3 MeV I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I 2000 I I I I I I I I I I I I I I I I I I I I i I I I I I I I I I I I I I I I I 0 [60], where exact optical model calculations with and without the Coulomb interaction give a difference of 8'%%, or 125 mb. The Glauber calculations, however, without any noneikonal corrections, deviate only 27 mb from the optical model value.…”

“…Most optical model codes do not take into account the eEects of relativistic kinematics on the Rutherford cross section [60]. Since this quantity is often used in the absolute normalization of the diHerential cross sections, we decided to investigate to what extent a renormalization of the experimental angular distributions affected the reaction cross section.…”

Optical model calculations for the elastic scattering of intermediate energy alpha particles

“…(1) The quantities in this expression are related to the parameters of the optical potential by o =2Py"IW'/(kn, ), (sa) a= V/W, (&b) where p is the reduced mass, k the wave number, and p the relativistic enhancement factor, which according to Ref. [6] is k/(IMu), were u is the velocity of the projectile in the laboratory system and n, is the normalization factor of the matter distribution, which approximately is given by n, = -aR 1+ 4 3 ma 3 R The analyses were done in the same phenomenological way as in optical model calculations. The matter distributions, well known from electron scattering and other experiments, were allowed to vary without any restrictions.…”