Proton-nucleus total reaction cross sections in the optical limit Glauber theory: Subtle dependence on the equation of state of nuclear matter

摘要

We calculate the proton-nucleus total reaction cross sections at differentenergies of incident protons within the optical limit approximation of theGlauber theory. The isospin effect has been taken into account. The nucleondistribution is obtained in the framework of macroscopic nuclear models in away depending on the equation of state of uniform nuclear matter near thesaturation density. We find that at an energy of order 40 MeV, the reactioncross section calculated for neutron- rich isotopes significantly increases asthe parameter L characterizing the density dependence of the symmetry energyincreases, while at energies of order 300 and 800 MeV, it is almost independentof L. This is a feature of the optical limit Glauber theory in which anexponential dependence of the reaction cross section on the neutron skinthickness remains when the total proton-neutron cross section is small enough.