Radiative Neutron Capture on Carbon-14 in Effective Field Theory
Gautam Rupak, Lakma Fernando, Akshay Vaghani (Mississippi State U.)
TL;DR
This paper uses halo effective field theory to calculate the neutron capture cross section on carbon-14, considering both resonant and non-resonant interactions, revealing interference effects that alter the expected resonance behavior.
Contribution
It introduces a model-independent EFT approach to neutron capture on carbon-14, accounting for interference effects between resonant and non-resonant interactions.
Findings
Cross section expressed in terms of elastic scattering parameters
Interference between resonant and non-resonant contributions significantly affects the capture process
Deviations from simple Breit-Wigner resonance form observed
Abstract
The cross section for radiative capture of neutron on carbon-14 is calculated using the model-independent formalism of halo effective field theory. The dominant contribution from E1 transition is considered, and the cross section is expressed in terms of elastic scattering parameters of the effective range expansion. Contributions from both resonant and non-resonant interaction are calculated. Significant interference between these leads to a capture contribution that deviates from simple Breit-Wigner resonance form.
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