Reaction cross sections for protons onC12,Ca40,Zr

Abstract

Results of reaction cross-section measurements on 12 C, 40 Ca, 90 Zr, and 208 Pb at incident proton energies between 80 and 180 MeV and for 58 Ni at 81 MeV are presented. The experimental procedure is described, and the results are compared with earlier measurements and predictions using macroscopic and microscopic models.

Formula for Proton–Nucleus Reaction Cross Section at Intermediate Energies and Its Application

“…2 we compare the formula (7) with the empirical data for the reaction cross section for targets such as C, Ca, Zr, and Pb. The formula (7) in which a 0 is set to be a value determined from the measured angle of the first diffraction maximum in proton elastic scattering [11,12] well reproduces the T p dependence of the measured reaction cross section [14,19] for T p down to about 100 MeV. Remarkably, it agrees almost completely with the 100-180 MeV data updated by Auce et al [19].…”

“…The formula (7) in which a 0 is set to be a value determined from the measured angle of the first diffraction maximum in proton elastic scattering [11,12] well reproduces the T p dependence of the measured reaction cross section [14,19] for T p down to about 100 MeV. Remarkably, it agrees almost completely with the 100-180 MeV data updated by Auce et al [19]. The T p dependence of such data is stronger for smaller A, a feature described by the prefactor of ∆σ pN /σ pN 0 in Eq.…”

“…[14], have to be seen with caution. This is partly because the recent data at energies between 80 and 180 MeV [19] are not smoothly connected with the data above 200 MeV and partly because the data between 200 MeV and 600 MeV are systematically larger than the data at 860 MeV, in contrast to the tendency of the nucleon-nucleon total cross section [15,16]. We also remark that the previous predictions based on microscopic optical potential models [17,21,22] are more sensitive to T p than ours in a way more difficult to reproduce the T p dependence of the data.…”

“…The target nucleus is natural C, natural Ca, 90 Zr, and natural Pb. The squares denote the data from Auce et al [19], while the filled circles and crosses denote the data tabulated in Ref. [14].…”

Erratum: Reaction cross sections of carbon isotopes incident on a proton [Phys. Rev. C 77, 034607 (2008)]

“…The experimental data are taken from Refs. [26,27]. Thus, we conclude that the parameters listed in Table I works fairly well for the reaction cross sections.…”