Tritium β decay in chiral effective field theory

A. Baroni, L. Girlanda, A. Kievsky, L. E. Marcucci, R. Schiavilla, and M. Viviani
Phys. Rev. C 94, 024003 – Published 18 August 2016; Erratum Phys. Rev. C 95, 059902 (2017)

Abstract

We evaluate the Fermi and Gamow-Teller (GT) matrix elements in tritium β decay by including in the charge-changing weak current the corrections up to one loop recently derived in nuclear chiral effective field theory (χEFT). The trinucleon wave functions are obtained from hyperspherical-harmonics solutions of the Schrödinger equation with two- and three-nucleon potentials corresponding to either χEFT (the N3LO/N2LO combination) or meson-exchange phenomenology (the AV18/UIX combination). We find that contributions due to loop corrections in the axial current are, in relative terms, as large as (and in some cases, dominate) those from one-pion exchange, which nominally occur at lower order in the power counting. We also provide values for the low-energy constants multiplying the contact axial current and three-nucleon potential, required to reproduce the experimental GT matrix element and trinucleon binding energies in the N3LO/N2LO and AV18/UIX calculations.

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  • Received 5 May 2016
  • Revised 12 July 2016

DOI:https://doi.org/10.1103/PhysRevC.94.024003

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Erratum

Erratum: Tritium β decay in chiral effective field theory [Phys. Rev. C 94, 024003 (2016)]

A. Baroni, L. Girlanda, A. Kievsky, L. E. Marcucci, R. Schiavilla, and M. Viviani
Phys. Rev. C 95, 059902 (2017)

Authors & Affiliations

A. Baroni1, L. Girlanda2,3, A. Kievsky4, L. E. Marcucci4,5, R. Schiavilla1,6, and M. Viviani4

  • 1Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA
  • 2Department of Mathematics and Physics, University of Salento, 73100 Lecce, Italy
  • 3INFN-Lecce, 73100 Lecce, Italy
  • 4INFN-Pisa, 56127 Pisa, Italy
  • 5Department of Physics, University of Pisa, 56127 Pisa, Italy
  • 6Theory Center, Jefferson Lab, Newport News, Virginia 23606, USA

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Issue

Vol. 94, Iss. 2 — August 2016

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