Proton-proton fusion in pionless effective theory

Abstract

The proton-proton fusion reaction, $pp\to d{e}^{+}\nu$, is studied in pionless effective field theory (EFT) with di-baryon fields up to next-to leading order. With the aid of the di-baryon fields, the effective range corrections are naturally resummed up to the infinite order and thus the calculation is greatly simplified. Furthermore, the low-energy constant which appears in the axial-current-di-baryon-di-baryon contact vertex is fixed through the ratio of two- and one-body matrix elements which reproduces the tritium lifetime very precisely. As a result we can perform a parameter free calculation for the process. We compare our numerical result with those from the accurate potential model and previous pionless EFT calculations, and find a good agreement within the accuracy better than 1%.

14 pages, 5 eps figures

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• The proton-deuteron system in pionless EFT revisited
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• Second-order perturbation theory for 3He and pd scattering in pionless EFT
• The $S_{E1}$ factor of radiative $\alpha$ capture on ${}^{12}$C in cluster effective field theory
• Spin Polarization in $\gamma d\to \vec{n}p$ at Low Energies with a Pionless Effective Field Theory
• Cluster effective field theory and nuclear reactions
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• Renormalization of proton-proton fusion in chiral effective field theory
• Parity violation in $d\vec{\gamma }->np$ with pionless effective theory
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• New Photodisintegration Model of GEANT4 for the $d\gamma \to np$ Reaction with a Dibaryon Effective Field Theory
• Analysis of elastic $\alpha$-${}^{12}$C scattering with global optimization in the cluster effective field theory