We present an approximate theoretical calculation of the cross section for the reaction p+${\mathrm{}}^{12}$C→${}^{13}$ C+${\mu }^{+}$ +${\nu }_{\mu }$ for center of mass proton energies from $E_{\mathrm{p}=1060\mathrm{}}$ MeV to $E_{\mathrm{p}=1085\mathrm{}}$ MeV. We make use of data from p${+\mathrm{}}^{12}$C→${\mathrm{}}^{13}$C+${\pi }^{+}$ and p${+\mathrm{}}^{12}$C→γ${+\mathrm{}}^{13}$N reactions to obtain approximate values for the form factors involved via the partially conserved axial current hypothesis and conserved vector current hypothesis, respectively. We discuss the utility of this process in studying the role of anomalous thresholds in the nuclear partially conserved axial vector current.

• Received 29 January 1986

DOI:https://doi.org/10.1103/PhysRevC.33.2082