Proton-proton fusion in lattice effective field theory

Abstract

The proton-proton fusion rate is calculated at low energy in a lattice effective field theory (EFT) formulation. The strong and the Coulomb interactions are treated non-perturbatively at leading order in the EFT. The lattice results are shown to accurately describe the low energy cross section within the validity of the theory at energies relevant to solar physics. In prior work in the literature, Coulomb effects were generally not included in non-perturbative lattice calculations. Work presented here is of general interest in nuclear lattice EFT calculations that involve Coulomb effects at low energy. It complements recent developments of the adiabatic projection method for lattice calculations of nuclear reactions.

11 pages, 2 figures

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Cited by in corpus (7)

• Nuclear effective field theory: status and perspectives
• Ab initio alpha-alpha scattering
• Ab initio calculation of the $np\to d\gamma$ radiative capture process
• Nucleon-deuteron scattering using the adiabatic projection method
• Solar fusion III: New data and theory for hydrogen-burning stars
• Adiabatic projection method with Euclidean time subspace projection
• Complex-energy analysis of proton-proton fusion