Complete Glauber calculations for proton–nucleus inelastic cross sections

Abstract

We perform a parameter-free calculation for the high-energy proton-nucleus scattering based on the Glauber theory. A complete evaluation of the so-called Glauber amplitude is made by using the factorization of the single-particle wave functions. The multiple-scattering or multistep processes are fully taken into account within the Glauber theory. We demonstrate that proton-12 C, 20 Ne, and 28 Si elastic and inelastic scattering (J π = 0 + → 2 + and 0 + → 4 + ) processes are very well described in a wide range of the incident energies from ∼ 50 MeV to ∼ 1 GeV. We evaluate the validity of a simple one-step approximation and find that the approximation works fairly well for the inelastic 0 + → 2 + processes but not for 0 + → 4 + where the multistep processes become more important.As an application, we quantify the difference between the total reaction and interaction cross sections of proton-12 C, 20 Ne, and 28 Si collisions.

Utility of antiproton-nucleus scattering for probing nuclear surface density distributions

“…[30] are used to calculate σ R (pA). Let us first discuss a medium-heavy nucleus by taking 40 Ca as an example, where the separation of the bulk and the surface part is developing [42]. The curve is shown in Fig.…”

“…[38,39]. The cross sections are multiplied by 10 4 and 10 8 for those for 16 O, and 40 Ca, respectively. The harmonicoscillator-type densities [26] consistent with the experimental charge radii [34] are used.…”

Total reaction cross section on a deuteron target and the eclipse effect of the constituent neutron and proton

“…This approximation works well when the fluctuation of χ P N is small enough [19][20][21]23]. In fact, the ansatz (4) that relates χ P N to the proton and neutron densities of P has proven to work well for many cases of PN scattering [24][25][26][27]…”

Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes

“…The evaluation of e iχ(b) is in general demanding because it involves multi-dimensional integration [65][66][67]. To incorporate the multiple scattering effect efficiently, here we employ the nucleon-target formalism (NTG) as given in Ref.…”