Tritium β decay in chiral effective field theory

Baroni, A.; Girlanda, L.; Kievsky, A.; Marcucci, L. E.; Schiavilla, R.; Viviani, M.

doi:10.1103/PhysRevC.94.024003

Title: Tritium $β$ decay in chiral effective field theory

Journal Article · Thu Aug 18 00:00:00 EDT 2016 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.94.024003· OSTI ID:1302044

Baroni, A. ^[1]; Girlanda, L. ^[2]; Kievsky, A. ^[3]; Marcucci, L. E. ^[4]; Schiavilla, R. ^[5]; Viviani, M. ^[3]

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)

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.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1302044

Alternate ID(s):: OSTI ID: 1298338

Report Number(s):: JLAB-THY-16-2233; DOE/OR/23177-3778; arXiv:1605.01620; PRVCAN

Journal Information:: Physical Review C, Vol. 94, Issue 2; ISSN 2469-9985

Publisher:: APSCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 47 works

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Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review Engel, Jonathan; Menéndez, Javier Reports on Progress in Physics, Vol. 80, Issue 4 https://doi.org/10.1088/1361-6633/aa5bc5	journal	March 2017
From response functions to cross sections in neutrino scattering off the deuteron and trinucleons Golak, J.; Skibiński, R.; Topolnicki, K. Physical Review C, Vol. 100, Issue 6 https://doi.org/10.1103/physrevc.100.064003	journal	December 2019
Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons Golak, J.; Skibiński, R.; Topolnicki, K. Physical Review C, Vol. 98, Issue 1 https://doi.org/10.1103/physrevc.98.015501	journal	July 2018
Uncertainties in constraining low-energy constants from 3H $ \beta$β decay Klos, P.; Carbone, A.; Hebeler, K. The European Physical Journal A, Vol. 53, Issue 8 https://doi.org/10.1140/epja/i2017-12357-7	journal	August 2017
Nuclear matter properties from local chiral interactions with $Δ$ isobar intermediate states Logoteta, Domenico; Bombaci, Ignazio; Kievsky, Alejandro arXiv https://doi.org/10.48550/arxiv.1609.00649	text	January 2016
Light-nuclei spectra from chiral dynamics Piarulli, M.; Baroni, A.; Girlanda, L. arXiv https://doi.org/10.48550/arxiv.1707.02883	text	January 2017
Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons Golak, J.; Skibinski, R.; Topolnicki, K. arXiv https://doi.org/10.48550/arxiv.1805.00103	text	January 2018

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