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 ($J^{\pi }=0^{+}\to 2^{+}$ and $0^{+}\to 4^{+}$) processes are very well described in a wide range of the incident energies from $\sim$50 MeV to $\sim$ 1 GeV. We evaluate the validity of a simple one-step approximation andfind that the approximation works fairly well for the inelastic $0^{+}\to 2^{+}$ processes but not for $0^{+}\to 4^{+}$ 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.

arXiv comment29 pages, 6 figures, to appear in Nucl. Phys. A

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Cited by in corpus (9)

• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• Density profiles near nuclear surface of ${}^{44,52}$Ti: An indication of $\alpha$ clustering
• Imprints of $\alpha$ clustering in the density profiles of ${}^{12}$C and ${}^{16}$O
• Evidence of bicluster structure in the ground state of ${}^{20}$Ne
• Dineutron-dineutron correlation in ${}^8$He
• Total reaction cross section on a deuteron target and the eclipse effect of the constituent neutron and proton
• Incomplete absorption reactions at high energy
• Utility of antiproton-nucleus scattering for probing nuclear surface density distributions
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei