Publications
Publication Information
| Title | Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term |
| Authors | Alessandro Baroni, Rocco Schiavilla, Laura Marcucci, Luca Girlanda, Alejandro Kievsky, Alessandro Lovato, Saori Pastore, Maria Piarulli, Steven Pieper, Michele Viviani, Robert Wiringa |
| JLAB number | JLAB-THY-18-2750 |
| LANL number | arXiv:1806.10245 |
| Other number | DOE/OR/23177-4477 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review C Volume 98 Issue 04 Page(s) 044003 | |
| Publication Abstract: | 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. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevC.98.044003 |
| Accepted Manuscript: | CT10657-7.pdf |
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