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Title: Statistical uncertainties of a chiral interaction at next-to-next-to leading order

Abstract

In this paper, we have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon–nucleon interaction from chiral effective field theory at next-to-next-to-leading order. Finally, in addition, we have propagated the impact of the uncertainties of the LECs to two-nucleon scattering phase shifts, effective range parameters, and deuteron observables.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [7]
  1. Univ. of Oslo (Norway). Dept. of Physics. Center of Mathematics for Applications; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
  2. Univ. of Oslo (Norway). Dept. of Physics. Center of Mathematics for Applications; Chalmers Univ. of Technology, Goteborg (Sweden). Dept. of Fundamental Physics
  3. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
  4. Chalmers Univ. of Technology, Goteborg (Sweden). Dept. of Fundamental Physics
  5. Univ. of Oslo (Norway). Dept. of Physics. Center of Mathematics for Applications; Michigan State Univ., East Lansing, MI (United States). National Superconducting Cyclotron Lab.. Dept. of Physics and Astronomy
  6. Univ. of Idaho, Moscow, ID (United States). Dept. of Physics
  7. Argonne National Lab. (ANL), Argonne, IL (United States). Mathematics and Computer Science Division
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); Research Council of Norway; European Research Council (ERC)
Contributing Org.:
Univ. of Tennessee, Knoxville, TN (United States); Univ. of Oslo (Norway); Chalmers Univ. of Technology, Goteborg (Sweden); Michigan State Univ., East Lansing, MI (United States)
OSTI Identifier:
1324132
Grant/Contract Number:  
AC02–06CH11357; FG02–03ER41270; FG02–96ER40963; SC0008499; ISP-Fysikk/216699; 240603
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Physics. G, Nuclear and Particle Physics
Additional Journal Information:
Journal Volume: 42; Journal Issue: 3; Journal ID: ISSN 0954-3899
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; numerical optimization; nucleon-nucleon interactions; uncertainty quantification; error propagation

Citation Formats

Ekström, A., Carlsson, B. D., Wendt, K. A., Forssén, Christian, Jensen, M. Hjorth, Machleidt, R., and Wild, S. M. Statistical uncertainties of a chiral interaction at next-to-next-to leading order. United States: N. p., 2015. Web. doi:10.1088/0954-3899/42/3/034003.
Ekström, A., Carlsson, B. D., Wendt, K. A., Forssén, Christian, Jensen, M. Hjorth, Machleidt, R., & Wild, S. M. Statistical uncertainties of a chiral interaction at next-to-next-to leading order. United States. doi:10.1088/0954-3899/42/3/034003.
Ekström, A., Carlsson, B. D., Wendt, K. A., Forssén, Christian, Jensen, M. Hjorth, Machleidt, R., and Wild, S. M. Thu . "Statistical uncertainties of a chiral interaction at next-to-next-to leading order". United States. doi:10.1088/0954-3899/42/3/034003. https://www.osti.gov/servlets/purl/1324132.
@article{osti_1324132,
title = {Statistical uncertainties of a chiral interaction at next-to-next-to leading order},
author = {Ekström, A. and Carlsson, B. D. and Wendt, K. A. and Forssén, Christian and Jensen, M. Hjorth and Machleidt, R. and Wild, S. M.},
abstractNote = {In this paper, we have quantified the statistical uncertainties of the low-energy coupling-constants (LECs) of an optimized nucleon–nucleon interaction from chiral effective field theory at next-to-next-to-leading order. Finally, in addition, we have propagated the impact of the uncertainties of the LECs to two-nucleon scattering phase shifts, effective range parameters, and deuteron observables.},
doi = {10.1088/0954-3899/42/3/034003},
journal = {Journal of Physics. G, Nuclear and Particle Physics},
number = 3,
volume = 42,
place = {United States},
year = {2015},
month = {2}
}

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Cited by: 11 works
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