Speaker
Description
We investigate the $^{13}\mathrm{C}(^{12}\mathrm{C},n)^{24}\mathrm{Mg}^*$ reaction as a neutron-spectator Trojan Horse Method (THM) route to low-energy $^{12}\mathrm{C}+{}^{12}\mathrm{C}$ fusion, using the physical $^{13}\mathrm{C}=^{12}\mathrm{C}+n$ $p_{1/2}$ overlap. For a 27 MeV $^{12}\mathrm{C}$ beam and $0.8\leq E_{CC}\leq2.7$ MeV, the momentum-volume density peaks at $72.5$ MeV/$c$, with half-height points at $32.4$ and $136.4$ MeV/$c$. At $E_{CC}=1.5$ MeV, the full neutron angular range samples only $85.7$–$148.4$ MeV/$c$. Thus, no fixed-energy angular trajectory covers both intrinsic half-height points, and agreement with an accessible momentum profile alone does not determine the transfer normalization.
We also examine the energy-dependent distorted-wave correction relevant to THM strength extraction. At $E_{CC}=0.8$ MeV and a neutron center-of-mass angle of $15^\circ$, the factorized $^{13}\mathrm{C}$ corrections are $R_S=1.123$ for Coulomb distortion and $1.693$ with the I0/KD optical input, compared with $\sim4.0\times10^{-3}$ and $2.3\times10^{-3}$ for the converted published $^{14}\mathrm{N}$ results. Direct integration of the displaced waves changes these values to $0.421$ and $0.551$, respectively, showing that the surface factorization can change both the magnitude and the direction of the inferred energy correction. These results show that momentum-shape tests and energy normalization need to be treated separately in quantitative THM analyses.
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