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Title: s-wave pion nucleon scattering lengths from {pi}N, pionic hydrogen, and deuteron data

Abstract

The isoscalar and isovector scattering lengths (b{sub 0},b{sub 1}) are determined using a unitarized coupled channel approach based on chiral Lagrangians. Using experimental values of pionic hydrogen and deuterium as well as low energy {pi}N scattering data, the free parameters of the model are calculated. Isospin violation is incorporated to a certain extent by working with physical particle masses. For the deuterium scattering length a{sub {pi}}{sub {sup -}}{sub d} new significant corrections concerning real and imaginary parts are evaluated, putting new constraints from {pi}{sup -}d scattering on the values of (b{sub 0},b{sub 1}). In particular, dispersion corrections, the influence of the {delta}(1232) resonance, crossed terms and multiple scattering in a Faddeev approach are considered.

Authors:
; ;  [1]
  1. Departemento de Fisica Teorica and IFIC, Centro Mixto, Universidad de Valencia-CSIC, 46100 Burjassot, Valencia (Spain)
Publication Date:
OSTI Identifier:
20695685
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 70; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.70.045203; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHIRAL SYMMETRY; CHIRALITY; CORRECTIONS; COUPLED CHANNEL THEORY; DELTA-1232 BARYONS; DEUTERIUM; DEUTERONS; HYDROGEN; ISOSPIN; ISOVECTORS; LAGRANGIAN FUNCTION; MULTIPLE SCATTERING; PION REACTIONS; PION-NUCLEON INTERACTIONS; PIONIC ATOMS; PIONS MINUS; REST MASS; S WAVES; SCATTERING LENGTHS

Citation Formats

Doering, M, Oset, E, and Vicente Vacas, M J. s-wave pion nucleon scattering lengths from {pi}N, pionic hydrogen, and deuteron data. United States: N. p., 2004. Web. doi:10.1103/PhysRevC.70.045203.
Doering, M, Oset, E, & Vicente Vacas, M J. s-wave pion nucleon scattering lengths from {pi}N, pionic hydrogen, and deuteron data. United States. https://doi.org/10.1103/PhysRevC.70.045203
Doering, M, Oset, E, and Vicente Vacas, M J. 2004. "s-wave pion nucleon scattering lengths from {pi}N, pionic hydrogen, and deuteron data". United States. https://doi.org/10.1103/PhysRevC.70.045203.
@article{osti_20695685,
title = {s-wave pion nucleon scattering lengths from {pi}N, pionic hydrogen, and deuteron data},
author = {Doering, M and Oset, E and Vicente Vacas, M J},
abstractNote = {The isoscalar and isovector scattering lengths (b{sub 0},b{sub 1}) are determined using a unitarized coupled channel approach based on chiral Lagrangians. Using experimental values of pionic hydrogen and deuterium as well as low energy {pi}N scattering data, the free parameters of the model are calculated. Isospin violation is incorporated to a certain extent by working with physical particle masses. For the deuterium scattering length a{sub {pi}}{sub {sup -}}{sub d} new significant corrections concerning real and imaginary parts are evaluated, putting new constraints from {pi}{sup -}d scattering on the values of (b{sub 0},b{sub 1}). In particular, dispersion corrections, the influence of the {delta}(1232) resonance, crossed terms and multiple scattering in a Faddeev approach are considered.},
doi = {10.1103/PhysRevC.70.045203},
url = {https://www.osti.gov/biblio/20695685}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 4,
volume = 70,
place = {United States},
year = {2004},
month = {10}
}