Cross sections of proton- and neutron-induced reactions by the Liège intranuclear cascade model

The purpose of the paper is mainly to test the validity of the Liège intranuclear cascade (INCL) model in calculating the cross sections of proton-induced reactions for cosmogenic nuclei using the newly compiled database of proton cross sections. The model calculations of ${}^3\mathrm{He}$ display the rising tendency of cross sections with the increase of energy, in accordance with the experimental data. Meanwhile, the differences between the theoretical results and experimental data of production cross sections (${}^{10}\mathrm{Be}$ and ${}^{26}\mathrm{Al}$) are generally within a factor of 3, meaning that the INCL model works quite well for the proton-induced reactions. Based on the good agreement, we predict the production cross sections of ${}^{26}\mathrm{Al}$ from reactions $n\hspace{0.17em}+\hspace{0.17em}{}^{27}\mathrm{Al}, n\hspace{0.17em}+\hspace{0.17em}{}^{28}\mathrm{Si}$, and $n\hspace{0.17em}+\hspace{0.17em}{}^{40}\mathrm{Ca}$ and those of ${}^{10}\mathrm{Be}$ from reactions $n\hspace{0.17em}+\hspace{0.17em}{}^{16}\mathrm{O}$ and $n\hspace{0.17em}+\hspace{0.17em}{}^{28}\mathrm{Si}$. The results also show a good agreement with a posteriori excitation functions.

Figure 1

The production cross sections of ${}^3\mathrm{He}$ from $p\hspace{0.17em}+\hspace{0.17em}{}^{27}\mathrm{Al}$. The experimental data are taken from Refs. [17, 27].

Figure 2

The production cross sections of ${}^3\mathrm{He}$ from $p\hspace{0.17em}+\hspace{0.17em}{}^{28}\mathrm{Si}$. The experimental data are taken from Refs. [17, 27].

Figure 3

The production cross sections of ${}^3\mathrm{He}$ from $p\hspace{0.17em}+\hspace{0.17em}{}^{56}\mathrm{Fe}$. The experimental data are taken from Refs. [17, 28].

Figure 4

The logarithmic values of ratios between the experimental data and the theoretical results for cosmogenic nucleus ${}^{10}\mathrm{Be}$ from $p\hspace{0.17em}+\hspace{0.17em}{}^{16}\mathrm{O}, p\hspace{0.17em}+\hspace{0.17em}{}^{27}\mathrm{Al}$, and $p\hspace{0.17em}+\hspace{0.17em}{}^{28}\mathrm{Si}$. The solid symbols represent the results from abla07 model while the open ones stand for the results by gemini++ model. The experimental data are taken from Ref. [17].

Figure 5

The logarithmic values of the ratios between the experimental data and the theoretical results for cosmogenic nucleus ${}^{26}\mathrm{Al}$ from $p\hspace{0.17em}+\hspace{0.17em}{}^{27}\mathrm{Al}, p\hspace{0.17em}+\hspace{0.17em}{}^{28}\mathrm{Si}$, and $p\hspace{0.17em}+\hspace{0.17em}{}^{40}\mathrm{Ca}$. The solid symbols represent the results from abla07 model while the open ones stand for the results by gemini++ model. The experimental data are taken from Ref. [17].

Figure 6

The production cross sections of ${}^{26}\mathrm{Al}$ from $n\hspace{0.17em}+\hspace{0.17em}{}^{27}\mathrm{Al}$. The a posteriori excitation function is provided by Leya (see Ref. [29]).

Figure 7

The production cross sections of ${}^{26}\mathrm{Al}$ from $n\hspace{0.17em}+\hspace{0.17em}{}^{28}\mathrm{Si}$. The a posteriori excitation function is provided by Leya (see Ref. [29]).

Figure 8

The production cross sections of ${}^{26}\mathrm{Al}$ from $n\hspace{0.17em}+\hspace{0.17em}{}^{40}\mathrm{Ca}$. The a posteriori excitation function is provided by Leya (see Ref. [29]).

Figure 9

The production cross sections of ${}^{10}\mathrm{Be}$ from $n\hspace{0.17em}+\hspace{0.17em}{}^{16}\mathrm{O}$. The a posteriori excitation function is provided by Leya (see Ref. [29]).

Figure 10

The production cross sections of ${}^{10}\mathrm{Be}$ from $n\hspace{0.17em}+\hspace{0.17em}{}^{28}\mathrm{Si}$. The a posteriori excitation function is provided by Leya (see Ref. [29]).