Radiative proton capture on 12C in cluster effective field theory
Abstract
Radiative proton capture on 12C to the ground state of 13N is calculated in cluster effective field theory through next-to-leading order. At low energy the reaction is dominated by s1/2→ p1/2 E1 capture, which we treat in the long-wavelength limit. Its amplitude is strongly hindered by destructive interference between the contribution fixed by gauge invariance and a counter-term E1 current, making the capture particularly sensitive to subleading terms. We fit the recent data below $0.95$~MeV, determining the E1 transition counter-term coefficients together with the ground-state asymptotic normalization coefficient and the 1/2+ resonance and shape parameters. We obtain S(0)=1.34±0.07~keV\,b and S(25 keV)=1.43±0.07~keV\,b, the latter in agreement with recent R-matrix extrapolations. We also estimate the effects of the omitted p-wave M1 capture and 3/2- resonance tail, and find that the fitted asymptotic normalization coefficient moves substantially while the S factors remain almost unchanged.
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BibTeX
@misc{park2026radiative,
title = {{Radiative proton capture on $^12\mathrmC$ in cluster effective field theory}},
author = {Tae-Sun Park and Eunjin In and Young-Ho Song},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39881},
eprint = {2609.39881},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39881},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Radiative proton capture on ^12C in cluster effective field theory
AU - Tae-Sun Park
AU - Eunjin In
AU - Young-Ho Song
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39881
UR - https://arxiv.org/abs/2609.39881
AB - Radiative proton capture on ^12C to the ground state of ^13N is calculated in cluster effective field theory through next-to-leading order. At low energy the reaction is dominated by s_1/2→ p_1/2 E1 capture, which we treat in the long-wavelength limit. Its amplitude is strongly hindered by destructive interference between the contribution fixed by gauge invariance and a counter-term E1 current, making the capture particularly sensitive to subleading terms. We fit the recent data below $0.95$~MeV, determining the E1 transition counter-term coefficients together with the ground-state asymptotic normalization coefficient and the 1/2^+ resonance and shape parameters. We obtain S(0)=1.34±0.07~keV\,b and S(25 keV)=1.43±0.07~keV\,b, the latter in agreement with recent R-matrix extrapolations. We also estimate the effects of the omitted p-wave M1 capture and 3/2^- resonance tail, and find that the fitted asymptotic normalization coefficient moves substantially while the S factors remain almost unchanged.
ER -