Effective field theory analysis of 3He–α scattering data
Abstract
We treat low-energy 3He–α elastic scattering in an effective field theory (EFT) that exploits the separation of scales in this reaction. We compute the amplitude up to next-to-next-to-leading order, developing a hierarchy of the effective-range parameters (ERPs) that contribute at various orders. We use the resulting formalism to analyse data for recent measurements at center-of-mass energies of 0.38–3.12 MeV using the scattering of nuclei in inverse kinematics (SONIK) gas target at TRIUMF as well as older data in this energy regime. We employ a likelihood function that incorporates the theoretical uncertainty due to truncation of the EFT and use Markov chain Monte Carlo sampling to obtain the resulting posterior probability distribution. We find that the inclusion of a small amount of data on the analysing power Ay is crucial to determine the sign of the p-wave splitting in such an analysis. Here, the combination of Ay and SONIK data constrains all ERPs up to O(p4) in both s- and p-waves quite well. The asymptotic normalisation coefficients and s-wave scattering length are consistent with a recent EFT analysis of the capture reaction 3He(α, γ)7Be.
- Authors:
-
- Ohio Univ., Athens, OH (United States)
- Publication Date:
- Research Org.:
- Ohio Univ., Athens, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
- OSTI Identifier:
- 1872775
- Grant/Contract Number:
- FG02-93ER40756; NA0003883; PHY-2020275
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Physics. G, Nuclear and Particle Physics
- Additional Journal Information:
- Journal Volume: 49; Journal Issue: 4; Journal ID: ISSN 0954-3899
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Poudel, Maheshwor, and Phillips, Daniel R. Effective field theory analysis of 3He–α scattering data. United States: N. p., 2022.
Web. doi:10.1088/1361-6471/ac4da6.
Poudel, Maheshwor, & Phillips, Daniel R. Effective field theory analysis of 3He–α scattering data. United States. https://doi.org/10.1088/1361-6471/ac4da6
Poudel, Maheshwor, and Phillips, Daniel R. Thu .
"Effective field theory analysis of 3He–α scattering data". United States. https://doi.org/10.1088/1361-6471/ac4da6. https://www.osti.gov/servlets/purl/1872775.
@article{osti_1872775,
title = {Effective field theory analysis of 3He–α scattering data},
author = {Poudel, Maheshwor and Phillips, Daniel R.},
abstractNote = {We treat low-energy 3He–α elastic scattering in an effective field theory (EFT) that exploits the separation of scales in this reaction. We compute the amplitude up to next-to-next-to-leading order, developing a hierarchy of the effective-range parameters (ERPs) that contribute at various orders. We use the resulting formalism to analyse data for recent measurements at center-of-mass energies of 0.38–3.12 MeV using the scattering of nuclei in inverse kinematics (SONIK) gas target at TRIUMF as well as older data in this energy regime. We employ a likelihood function that incorporates the theoretical uncertainty due to truncation of the EFT and use Markov chain Monte Carlo sampling to obtain the resulting posterior probability distribution. We find that the inclusion of a small amount of data on the analysing power Ay is crucial to determine the sign of the p-wave splitting in such an analysis. Here, the combination of Ay and SONIK data constrains all ERPs up to O(p4) in both s- and p-waves quite well. The asymptotic normalisation coefficients and s-wave scattering length are consistent with a recent EFT analysis of the capture reaction 3He(α, γ)7Be.},
doi = {10.1088/1361-6471/ac4da6},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
number = 4,
volume = 49,
place = {United States},
year = {Thu Mar 10 00:00:00 EST 2022},
month = {Thu Mar 10 00:00:00 EST 2022}
}
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