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Title: Chiral coupling constants {ital {bar l}}{sub 1} and {ital {bar l}}{sub 2} from {pi}{pi}phase shifts

Abstract

A Roy equation analysis of the available {pi}{pi} phase shift data is performed with the {ital I}=0 {ital S}-wave scattering length {ital a}{sup 0}{sub 0} in the range predicted by the one-loop standard chiral perturbation theory. A suitable dispersive framework is developed to extract the chiral coupling constants {bar {ital l}}{sub 1}, {bar {ital l}}{sub 2} and yields {bar {ital l}}{sub 1}={minus}1.70{plus_minus}0.15 and {bar {ital l}}{sub 2}{approx_equal}5.0. We remark on the implications of this determination to (combinations of) threshold parameter predictions of the three lowest partial waves. {copyright} {ital 1996 The American Physical Society.}

Authors:
;  [1]
  1. Institut fuer Theoretische Physik, Universitaet Bern, CH-3012 Bern (Switzerland)
Publication Date:
OSTI Identifier:
285809
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 54; Journal Issue: 1; Other Information: PBD: Jul 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; PION-PION INTERACTIONS; PHASE SHIFT; COUPLING CONSTANTS; S WAVES; SCATTERING LENGTHS; PERTURBATION THEORY; CHIRAL SYMMETRY; PARTIAL WAVES

Citation Formats

Ananthanarayan, B, and Buettiker, P. Chiral coupling constants {ital {bar l}}{sub 1} and {ital {bar l}}{sub 2} from {pi}{pi}phase shifts. United States: N. p., 1996. Web. doi:10.1103/PhysRevD.54.1125.
Ananthanarayan, B, & Buettiker, P. Chiral coupling constants {ital {bar l}}{sub 1} and {ital {bar l}}{sub 2} from {pi}{pi}phase shifts. United States. https://doi.org/10.1103/PhysRevD.54.1125
Ananthanarayan, B, and Buettiker, P. 1996. "Chiral coupling constants {ital {bar l}}{sub 1} and {ital {bar l}}{sub 2} from {pi}{pi}phase shifts". United States. https://doi.org/10.1103/PhysRevD.54.1125.
@article{osti_285809,
title = {Chiral coupling constants {ital {bar l}}{sub 1} and {ital {bar l}}{sub 2} from {pi}{pi}phase shifts},
author = {Ananthanarayan, B and Buettiker, P},
abstractNote = {A Roy equation analysis of the available {pi}{pi} phase shift data is performed with the {ital I}=0 {ital S}-wave scattering length {ital a}{sup 0}{sub 0} in the range predicted by the one-loop standard chiral perturbation theory. A suitable dispersive framework is developed to extract the chiral coupling constants {bar {ital l}}{sub 1}, {bar {ital l}}{sub 2} and yields {bar {ital l}}{sub 1}={minus}1.70{plus_minus}0.15 and {bar {ital l}}{sub 2}{approx_equal}5.0. We remark on the implications of this determination to (combinations of) threshold parameter predictions of the three lowest partial waves. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevD.54.1125},
url = {https://www.osti.gov/biblio/285809}, journal = {Physical Review, D},
number = 1,
volume = 54,
place = {United States},
year = {Mon Jul 01 00:00:00 EDT 1996},
month = {Mon Jul 01 00:00:00 EDT 1996}
}