Influence of $^{13}$C on proton-induced $^{13}$N production from natural carbon target

TL;DR

This paper investigates how the presence of $^{13}$C isotope in natural carbon affects proton-induced $^{13}$N production, revealing a significant increase in cross section above a certain energy threshold due to isotope admixture.

Contribution

It provides new insights into the influence of $^{13}$C isotope on $^{13}$N production cross sections in natural carbon at specific energies.

Findings

Cross section increases by three orders of magnitude above 3.24 MeV

$^{13}$C isotope admixture causes significant enhancement

Measurements suggest isotope composition impacts reaction rates

Abstract

Two recent measurements of $^{12}$C(p,$\gamma$)$^{13}$N reaction on natural carbon were performed by detecting $\beta^+$ decay of $^{13}$N residue. It is argued that the measurements at energies above the $^{13}$C(p,n)$^{13}$N reaction threshold of 3.24 MeV proton kinetic energy can be interpreted as a consequence of 1.06\% admixture of $^{13}$C isotope in natural carbon, as the cross section for $^{13}$N production raised by 3 orders of magnitude with respect to the measurements of $^{12}$C(p,$\gamma$)$^{13}$N at lower energies.