Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term

Baroni, A.; Schiavilla, R.; Marcucci, L. E.; Girlanda, L.; Kievsky, A.; Lovato, A.; Pastore, S.; Piarulli, M.; Pieper, Steven C.; Viviani, M.; Wiringa, R. B.

doi:10.1103/PhysRevC.98.044003

Title: Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term

Journal Article · Thu Oct 18 00:00:00 EDT 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.98.044003· OSTI ID:1480311

Baroni, A. ^[1]; Schiavilla, R. ^[2]; Marcucci, L. E. ^[3]; Girlanda, L. ^[4]; Kievsky, A. ^[5]; Lovato, A. ^[6]; Pastore, S. ^[7]; Piarulli, M. ^[8]; Pieper, Steven C. ^[9]; Viviani, M. ^[5]; Wiringa, R. B. ^[9]

Univ. of South Carolina, Columbia, SC (United States)
Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Univ. of Pisa, Pisa (Italy); INFN-Pisa, Pisa (Italy)
Univ. of Salento, Lecce (Italy); INFN-Lecce, Lecce (Italy)
INFN-Pisa, Pisa (Italy)
Argonne National Lab. (ANL), Argonne, IL (United States); Trento Institute for Fundamental Physics and Applications, Trento (Italy)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Washington Univ., St. Louis, MO (United States)
Argonne National Lab. (ANL), Argonne, IL (United States); Washington Univ., St. Louis, MO (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)

The Gamow-Teller (GT) matrix element contributing to tritium $$\beta$$ decay is calculated with trinucleon wave functions obtained from hyperspherical-harmonics solutions of the Schr\"odinger equation with the chiral two- and three-nucleon interactions including $$\Delta$$ intermediate states that have recently been constructed in configuration space. Predictions up to N3LO in the chiral expansion of the axial current (with $$\Delta$$'s) overestimate the empirical value by a few (1--4) \%. By exploiting the relation between the low-energy constant (LEC) in the contact three-nucleon interaction and two-body axial current, we provide new determinations of the LECs $$c_D$$ and $$c_E$$ that characterize this interaction by fitting the trinucleon binding energy and tritium GT matrix element. Some of the implications that the resulting models of three-nucleon interactions have on the spectra of light nuclei and the equation of state of neutron matter are briefly discussed. We also provide a partial analysis, which ignores $$\Delta$$'s, of the contributions due to loop corrections in the axial current at N4LO. Finally, explicit expressions for the axial current up to N4LO have been derived in configuration space, which other researchers in the field might find useful.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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

Grant/Contract Number:: AC02-06CH11357; SC0010300; AC05-06OR23177

OSTI ID:: 1480311

Alternate ID(s):: OSTI ID: 1478603; OSTI ID: 1480456

Report Number(s):: JLAB-THY-18-2750; DOE/OR/23177-4477; arXiv:1806.10245; PRVCAN; 146169

Journal Information:: Physical Review C, Vol. 98, Issue 4; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 47 works

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