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  • Letter
  • Open Access

Tritium β decay and proton-proton fusion in pionless effective field theory

Ha S. Nguyen*

Jared Vanasse†

  • Department of Physics, Box 90305, Duke University, Durham, North Carolina 27708, USA

  • *Contact author: ha.s.nguyen@duke.edu
  • †Contact author: jvanass3@fitchburgstate.edu
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Phys. Rev. C 110, L021001 – Published 27 August, 2024

DOI: https://doi.org/10.1103/PhysRevC.110.L021001

Abstract

The Gamow-Teller and Fermi matrix elements, 〈GT〉 and 〈F〉, respectively, for tritium β decay are calculated to next-to-leading order (NLO) in pionless effective field theory in the absence of Coulomb interactions and isospin violation giving the leading order predictions 〈GT〉0=0.9807 and 〈F〉0=1. Using an experimentally determined value for the tritium β decay GT matrix element, the two-body axial current low energy constant is fixed at NLO yielding L1,A=6.01±2.08fm3 at the renormalization scale of the physical pion mass, which agrees with predictions based on naive dimensional analysis. The impact of L1,A on proton-proton fusion is also discussed. Finally, the consequences of Wigner-SU(4) spin-isospin symmetry are considered for the Gamow-Teller matrix element.

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Phys. Rev. C 110, L021001– Published 27 August, 2024
  • Received 15 May 2024
  • Accepted 2 August 2024
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