Difference between interaction cross sections and reaction cross sections

Abstract

We revisit the commonly accepted notion that the difference between interaction and reaction cross sections is negligible at relativistic energies, and show that, especially in small mass number region, it is large enough to help probe nuclear structure. For analyses of the difference, we construct "pseudo data" for the reaction cross sections using a phenomenological black-sphere model of nuclei since empirical data are very limited at high energies. The comparison with the empirical interaction cross sections suggests a significant difference between the reaction and interaction cross sections for stable projectiles on a carbon target, which is of the order of 0 − 100 mb.

Symmetry energy, unstable nuclei and neutron star crusts

“…However, this is not always the case even for high energy data, as suggested by using pseudodata for total reaction cross sections that can be obtained from the measured elastic diffraction peak angles for stable nuclei via the black sphere model [39]. Within the framework of the full Glauber scattering theory, Novikov and Shabelski [40] also confirmed that the differences are appreciable.…”

Role of deformation in odd-even staggering in reaction cross sections for Ne30,31,32 and Mg36Urata1, Hagino2, Sagawa3 2017Phys. Rev. C200120View full textAdd to dashboardCite

“…2. These are compared with the experimental interaction cross sections [17], which are expected to be close to the reaction cross sections for neutron-rich nuclei [7,38,46]. For comparison, we also show the result of the previous analysis [14] at a similar one neutron separation energy, even though the single-potential is different from the one used in the present analysis.…”

Study of nuclear matter density distributions using hadronic probes

“…Furthermore, this formula can be easily extended to nucleus-nucleus reactions [5,6] and is shown to reproduce the empirical data quite well for the energy above 100 MeV/nucleon [5,6].…”