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

Nguyen, Ha S.; Vanasse, Jared

doi:10.1103/PhysRevC.110.L021001

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

Journal Article · Tue Aug 27 00:00:00 EDT 2024 · Physical Review. C

DOI:https://doi.org/10.1103/PhysRevC.110.L021001· OSTI ID:2438110

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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 $L_{1, A} = 6.01 \pm 2.08 {fm}^{3}$ at the renormalization scale of the physical pion mass, which agrees with predictions based on naive dimensional analysis. The impact of $L_{1, A}$ 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.

Published by the American Physical Society 2024

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Research Organization:: Duke Univ., Durham, NC (United States); Ohio Univ., Athens, OH (United States)

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

Grant/Contract Number:: FG02-05ER41368; FG02-93ER40756

OSTI ID:: 2438110

Alternate ID(s):: OSTI ID: 2579243

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 2 Vol. 110; ISSN PRVCAN; ISSN 2469-9985

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (26)

Sterile neutrinos and right-handed currents in KATRIN Barry, James; Heeck, Julian; Rodejohann, Werner Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)081	journal	July 2014
Three-Nucleon Bound States and the Wigner-SU(4) Limit Vanasse, Jared; Phillips, Daniel R. Few-Body Systems, Vol. 58, Issue 2 https://doi.org/10.1007/s00601-016-1173-2	journal	January 2017
Proton–proton fusion in effective field theory to fifth order Butler, Malcolm; Chen, Jiunn-Wei Physics Letters B, Vol. 520, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)01152-2	journal	November 2001
Improving the convergence of NN effective field theory Phillips, Daniel R.; Rupak, Gautam; Savage, Martin J. Physics Letters B, Vol. 473, Issue 3-4 https://doi.org/10.1016/S0370-2693(99)01496-3	journal	February 2000
Elastic and inelastic neutrino–deuteron scattering in effective field theory Butler, Malcolm; Chen, Jiunn-Wei Nuclear Physics A, Vol. 675, Issue 3-4 https://doi.org/10.1016/S0375-9474(99)00682-X	journal	August 2000
Improved convergence in the three-nucleon system at very low energies Grießhammer, Harald W. Nuclear Physics A, Vol. 744 https://doi.org/10.1016/j.nuclphysa.2004.08.012	journal	November 2004
Effective field theory of ³ He Ando, Shung-ichi; Birse, Michael C. Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 10 https://doi.org/10.1088/0954-3899/37/10/105108	journal	August 2010
The proton–deuteron system in pionless EFT revisited König, Sebastian; Grießhammer, Harald W.; Hammer, H-W Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 4 https://doi.org/10.1088/0954-3899/42/4/045101	journal	January 2015
Effective theory of ³ H and ³ He König, Sebastian; Grießhammer, Harald W.; Hammer, H-W Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 5 https://doi.org/10.1088/0954-3899/43/5/055106	journal	April 2016
KATRIN: status and prospects for the neutrino mass and beyond Aker, M.; Balzer, M.; Batzler, D. Journal of Physics G: Nuclear and Particle Physics, Vol. 49, Issue 10 https://doi.org/10.1088/1361-6471/ac834e	journal	September 2022
Sensitivity of next-generation tritium beta-decay experiments for keV-scale sterile neutrinos Mertens, S.; Lasserre, T.; Groh, S. Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 02 https://doi.org/10.1088/1475-7516/2015/02/020	journal	February 2015
On the Consequences of the Symmetry of the Nuclear Hamiltonian on the Spectroscopy of Nuclei Wigner, E. Physical Review, Vol. 51, Issue 2 https://doi.org/10.1103/PhysRev.51.106	journal	January 1937
Tritium β decay in pionless effective field theory De-Leon, Hilla; Platter, Lucas; Gazit, Doron Physical Review C, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevC.100.055502	journal	November 2019
Weak capture of protons by protons Schiavilla, R.; Stoks, V. G. J.; Glöckle, W. Physical Review C, Vol. 58, Issue 2 https://doi.org/10.1103/PhysRevC.58.1263	journal	August 1998
Neutrino-deuteron scattering in effective field theory at next-to-next-to-leading order Butler, Malcolm; Chen, Jiunn-Wei; Kong, Xinwei Physical Review C, Vol. 63, Issue 3 https://doi.org/10.1103/PhysRevC.63.035501	journal	February 2001
Proton-proton fusion in effective field theory Kong, Xinwei; Ravndal, Finn Physical Review C, Vol. 64, Issue 4 https://doi.org/10.1103/PhysRevC.64.044002	journal	August 2001
He 3 and p d scattering to next-to-leading order in pionless effective field theory Vanasse, Jared; Egolf, David A.; Kerin, John Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.064003	journal	June 2014
Tritium β decay in chiral effective field theory Baroni, A.; Girlanda, L.; Kievsky, A. Physical Review C, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevC.94.024003	journal	August 2016
Triton charge radius to next-to-next-to-leading order in pionless effective field theory Vanasse, Jared Physical Review C, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevC.95.024002	journal	February 2017
Erratum: Tritium β decay in chiral effective field theory [Phys. Rev. C 94 , 024003 (2016)] Baroni, A.; Girlanda, L.; Kievsky, A. Physical Review C, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevC.95.059902	journal	May 2017
Charge and magnetic properties of three-nucleon systems in pionless effective field theory Vanasse, Jared Physical Review C, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevC.98.034003	journal	September 2018
Nonrenormalization Theorem for the Strangeness-Violating Vector Currents Ademollo, M.; Gatto, R. Physical Review Letters, Vol. 13, Issue 7 https://doi.org/10.1103/PhysRevLett.13.264	journal	August 1964
Solar fusion cross sections. II. The p p chain and CNO cycles Adelberger, E. G.; García, A.; Robertson, R. G. Hamish Reviews of Modern Physics, Vol. 83, Issue 1 https://doi.org/10.1103/RevModPhys.83.195	journal	April 2011
Three-body systems in pionless effective field theory Vanasse, Jared International Journal of Modern Physics E, Vol. 25, Issue 05 https://doi.org/10.1142/S0218301316410020	journal	May 2016
Current Direct Neutrino Mass Experiments Drexlin, G.; Hannen, V.; Mertens, S. Advances in High Energy Physics, Vol. 2013 https://doi.org/10.1155/2013/293986	journal	January 2013
MuSun - Muon Capture on the Deuteron Kammel, Peter SciPost Physics Proceedings, Issue 5 https://doi.org/10.21468/SciPostPhysProc.5.018	journal	January 2021

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