Tritium decay in chiral effective field theory
Abstract
We evaluate the Fermi and Gamow-Teller (GT) matrix elements in tritium $$\beta$$-decay by including in the charge-changing weak current the corrections up to one loop recently derived in nuclear chiral effective field theory ($$\chi$$ EFT). The trinucleon wave functions are obtained from hyperspherical-harmonics solutions of the Schroedinger equation with two- and three-nucleon potentials corresponding to either $$\chi$$ EFT (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. Furthermore, 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.
- Authors:
-
- Old Dominion Univ., Norfolk, VA (United States)
- Univ. of Salento, Lecce (Italy); INFN-Lecce, Lecce (Italy)
- INFN-Pisa, Pisa (Italy)
- INFN-Pisa, Pisa (Italy); Univ. of Pisa, Pisa (Italy)
- Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1302044
- Alternate Identifier(s):
- OSTI ID: 1298338
- Report Number(s):
- JLAB-THY-16-2233; DOE/OR/23177-3778; arXiv:1605.01620
Journal ID: ISSN 2469-9985; PRVCAN
- Grant/Contract Number:
- AC05-06OR23177
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 2; Journal ID: ISSN 2469-9985
- Publisher:
- APS
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Baroni, A., Girlanda, L., Kievsky, A., Marcucci, L. E., Schiavilla, R., and Viviani, M. Tritium β decay in chiral effective field theory. United States: N. p., 2016.
Web. doi:10.1103/PhysRevC.94.024003.
Baroni, A., Girlanda, L., Kievsky, A., Marcucci, L. E., Schiavilla, R., & Viviani, M. Tritium β decay in chiral effective field theory. United States. https://doi.org/10.1103/PhysRevC.94.024003
Baroni, A., Girlanda, L., Kievsky, A., Marcucci, L. E., Schiavilla, R., and Viviani, M. Thu .
"Tritium β decay in chiral effective field theory". United States. https://doi.org/10.1103/PhysRevC.94.024003. https://www.osti.gov/servlets/purl/1302044.
@article{osti_1302044,
title = {Tritium β decay in chiral effective field theory},
author = {Baroni, A. and Girlanda, L. and Kievsky, A. and Marcucci, L. E. and Schiavilla, R. and Viviani, M.},
abstractNote = {We evaluate the Fermi and Gamow-Teller (GT) matrix elements in tritium $\beta$-decay by including in the charge-changing weak current the corrections up to one loop recently derived in nuclear chiral effective field theory ($\chi$ EFT). The trinucleon wave functions are obtained from hyperspherical-harmonics solutions of the Schroedinger equation with two- and three-nucleon potentials corresponding to either $\chi$ EFT (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. Furthermore, 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.},
doi = {10.1103/PhysRevC.94.024003},
journal = {Physical Review C},
number = 2,
volume = 94,
place = {United States},
year = {Thu Aug 18 00:00:00 EDT 2016},
month = {Thu Aug 18 00:00:00 EDT 2016}
}
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