Reconciling threshold and subthreshold expansions for pion–nucleon scattering
Abstract
Heavy-baryon chiral perturbation theory (ChPT) at one loop fails in relating the pion–nucleon amplitude in the physical region and for subthreshold kinematics due to loop effects enhanced by large low-energy constants. Studying the chiral convergence of threshold and subthreshold parameters up to fourth order in the small-scale expansion, we address the question to what extent this tension can be mitigated by including the Δ(1232) as an explicit degree of freedom and/or using a covariant formulation of baryon ChPT. We find that the inclusion of the Δ indeed reduces the low-energy constants to more natural values and thereby improves consistency between threshold and subthreshold kinematics. In addition, even in the Δ-less theory the resummation of 1/mN corrections in the covariant scheme improves the results markedly over the heavy-baryon formulation, in line with previous observations in the single-baryon sector of ChPT that so far have evaded a profound theoretical explanation.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Washington, Seattle, WA (United States); Ruhr Univ., Bochum (Germany); Univ. of Bonn (Germany); Univ. of Bern (Switzerland)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); German Research Foundation (DFG); Swiss National Science Foundation (SNSF); Chinese Academy of Sciences (CAS)
- OSTI Identifier:
- 1352704
- Alternate Identifier(s):
- OSTI ID: 1429069
- Grant/Contract Number:
- FG02-00ER41132; PHY-1125915; SFB/TR 16; DFGGSC 98/3; 2015VMA076
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters B
- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 770 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; pion-baryon interactions; dispersion relations; chiral Lagrangians; chiral symmetries
Citation Formats
Siemens, D., Ruiz de Elvira, J., Epelbaum, E., Hoferichter, M., Krebs, H., Kubis, B., and Meißner, U. -G. Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Netherlands: N. p., 2017.
Web. doi:10.1016/j.physletb.2017.04.039.
Siemens, D., Ruiz de Elvira, J., Epelbaum, E., Hoferichter, M., Krebs, H., Kubis, B., & Meißner, U. -G. Reconciling threshold and subthreshold expansions for pion–nucleon scattering. Netherlands. https://doi.org/10.1016/j.physletb.2017.04.039
Siemens, D., Ruiz de Elvira, J., Epelbaum, E., Hoferichter, M., Krebs, H., Kubis, B., and Meißner, U. -G. Sat .
"Reconciling threshold and subthreshold expansions for pion–nucleon scattering". Netherlands. https://doi.org/10.1016/j.physletb.2017.04.039.
@article{osti_1352704,
title = {Reconciling threshold and subthreshold expansions for pion–nucleon scattering},
author = {Siemens, D. and Ruiz de Elvira, J. and Epelbaum, E. and Hoferichter, M. and Krebs, H. and Kubis, B. and Meißner, U. -G.},
abstractNote = {Heavy-baryon chiral perturbation theory (ChPT) at one loop fails in relating the pion–nucleon amplitude in the physical region and for subthreshold kinematics due to loop effects enhanced by large low-energy constants. Studying the chiral convergence of threshold and subthreshold parameters up to fourth order in the small-scale expansion, we address the question to what extent this tension can be mitigated by including the Δ(1232) as an explicit degree of freedom and/or using a covariant formulation of baryon ChPT. We find that the inclusion of the Δ indeed reduces the low-energy constants to more natural values and thereby improves consistency between threshold and subthreshold kinematics. In addition, even in the Δ-less theory the resummation of 1/mN corrections in the covariant scheme improves the results markedly over the heavy-baryon formulation, in line with previous observations in the single-baryon sector of ChPT that so far have evaded a profound theoretical explanation.},
doi = {10.1016/j.physletb.2017.04.039},
journal = {Physics Letters B},
number = C,
volume = 770,
place = {Netherlands},
year = {Sat Jul 01 00:00:00 EDT 2017},
month = {Sat Jul 01 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2017.04.039
https://doi.org/10.1016/j.physletb.2017.04.039
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 56 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referencing / citing this record:
New insights on low energy $$\pi N$$ π N scattering amplitudes
journal, July 2018
- Wang, Yu-Fei; Yao, De-Liang; Zheng, Han-Qing
- The European Physical Journal C, Vol. 78, Issue 7
New insights on low energy $$\pi N$$ π N scattering amplitudes
journal, July 2018
- Wang, Yu-Fei; Yao, De-Liang; Zheng, Han-Qing
- The European Physical Journal C, Vol. 78, Issue 7
Flavor decomposition of the pion-nucleon σ-term
journal, March 2019
- Severt, Daniel; Meißner, Ulf-G.; Gegelia, Jambul
- Journal of High Energy Physics, Vol. 2019, Issue 3
Extracting the σ -term from low-energy pion-nucleon scattering
journal, December 2017
- Elvira, Jacobo Ruiz de; Hoferichter, Martin; Kubis, Bastian
- Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 2
Precise determination of charge-dependent pion-nucleon-nucleon coupling constants
journal, June 2017
- Pérez, R. Navarro; Amaro, J. E.; Ruiz Arriola, E.
- Physical Review C, Vol. 95, Issue 6
Elastic and inelastic pion-nucleon scattering to fourth order in chiral perturbation theory
journal, November 2017
- Siemens, D.; Bernard, V.; Epelbaum, E.
- Physical Review C, Vol. 96, Issue 5
isobars and nuclear saturation
journal, February 2018
- Ekström, A.; Hagen, G.; Morris, T. D.
- Physical Review C, Vol. 97, Issue 2
Nucleon form factors in dispersively improved chiral effective field theory. II. Electromagnetic form factors
journal, May 2018
- Alarcón, J. M.; Weiss, C.
- Physical Review C, Vol. 97, Issue 5
Few-nucleon and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
journal, July 2018
- Binder, S.; Calci, A.; Epelbaum, E.
- Physical Review C, Vol. 98, Issue 1
Three-nucleon force in chiral effective field theory with explicit (1232) degrees of freedom: Longest-range contributions at fourth order
journal, July 2018
- Krebs, H.; Gasparyan, A. M.; Epelbaum, E.
- Physical Review C, Vol. 98, Issue 1
Effective-field-theory predictions of the muon-deuteron capture rate
journal, December 2018
- Acharya, Bijaya; Ekström, Andreas; Platter, Lucas
- Physical Review C, Vol. 98, Issue 6
Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
journal, March 2019
- Lu, Jun-Xu; Geng, Li-Sheng; Ren, Xiu-Lei
- Physical Review D, Vol. 99, Issue 5
Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
journal, January 2020
- Piarulli, Maria; Tews, Ingo
- Frontiers in Physics, Vol. 7