Cluster effective field theory and nuclear reactions

Abstract

An effective field theory (EFT) for a nuclear reaction at low energies is studied. The astrophysical $S$-factor of radiative $\alpha$ capture on ${}^{12}$C at the Gamow-peak energy, $T_G=0.3$ MeV, is a fundamental quantity in nuclear-astrophysics, and we construct an EFT for the reaction. To fix parameters appearing in the effective Lagrangian, the EFT is applied to the study for three reactions: elastic $\alpha$-${}^{12}$C scattering at low energies, $E1$ transition of radiative $\alpha$ capture on ${}^{12}$C, and $\beta$ delayed $\alpha$ emission from ${}^{16}$N. We report an estimate of the $S_{E1}$-factor of the reaction through the $E1$ transition at $T_G$ by employing the EFT. We also discuss applications of EFTs to nuclear reactions at low energies.

arXiv comment19 pages, 9 figures, version accepted for publication in EPJA

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Cited by in corpus (4)

• The $S$ matrices of elastic $\alpha$-${}^{12}$C scattering at low energies in effective field theory
• Radiative proton capture on ${}^{15}\mathrm{N}$ within effective field theory
• Effective field theory with resonant P-wave interaction
• Fixing effective range parameters in elastic $\alpha$-${}^{12}$C scattering: an impact on resonant $2_4^{+}$ state of ${}^{16}$O and $S_{E2}$ factor of ${}^{12}$C($\alpha$,$\gamma$)${}^{16}$O