Abstract
We quantify the theoretical uncertainties of chiral effective-field-theory predictions of the muon-deuteron capture rate. Theoretical error estimates of this low-energy process are important for a reliable interpretation of forthcoming experimental results by the MuSun Collaboration. Specifically, we estimate the three dominant sources of uncertainties that impact theoretical calculations of this rate: those resulting from uncertainties in the pool of fit data used to constrain the coupling constants in the nuclear interaction, those due to the truncation of the effective field theory, and those due to uncertainties in the axial radius of the nucleon. For the capture rate into the S01 channel, we find an uncertainty of approximately 4.6s-1 due to the truncation in the effective field theory and an uncertainty of 3.9s-1 due to the uncertainty in the axial radius of the nucleon, both of which are similar in size to the targeted experimental precision of a few percent.
| Original language | English |
|---|---|
| Article number | 065506 |
| Journal | Physical Review C |
| Volume | 98 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 26 2018 |
| Externally published | Yes |
Funding
This work has been supported by the National Science Foundation under Grant No. PHY-1555030, by the Office of Nuclear Physics, U.S. Department of Energy under Contract No. DE-AC05-00OR22725, and by the Deutsche Forschungsgemeinschaft through The Low-Energy Frontier of the Standard Model (SFB 1044) CRC and through the PRISMA Cluster of Excellence. This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant Agreement No. 758027) and the Swedish Research Council under Grant No. 2015-00225 and Marie Sklodowska Curie Actions, Cofund, Project INCA 600398. The computations were performed on resources provided by the Swedish National Infrastructure for Computing at NSC (Project SNIC 2018/3-346).
| Funders | Funder number |
|---|---|
| National Science Foundation | PHY-1555030 |
| U.S. Department of Energy | DE-AC05-00OR22725 |
| Nuclear Physics | |
| Horizon 2020 Framework Programme | |
| H2020 Marie Skłodowska-Curie Actions | INCA 600398 |
| Seventh Framework Programme | 600398 |
| European Research Council | |
| Deutsche Forschungsgemeinschaft | SFB 1044 |
| Vetenskapsrådet | 2015-00225 |
| Horizon 2020 | 758027 |