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Title: Antiproton-proton partial-wave analysis below 925 MeV/[ital c]

Abstract

A partial-wave analysis of all [ital [bar p]p] scattering data below 925 MeV/[ital c] antiproton laboratory momentum is presented. The method used is adapted from the Nijmegen phase-shift analyses of [ital pp] and [ital np] scattering data. We solve the Schroedinger equation for the coupled [ital [bar p]p] and [ital [bar n]n] channels where the long- and intermediate-range interactions are described by a theoretically well-founded potential. This gives the rapid variations of the scattering amplitudes with energy. This potential consists of the Coulomb potential with the main relativistic correction, the magnetic-moment interaction, the one-pion-exchange potential, and the heavy-boson exchanges of the Nijmegen one-boson-exchange potential. Slow variations of the amplitudes due to short-range interactions, including the coupling to mesonic annihilation channels, are parametrized by an energy-dependent, complex boundary condition, specified at a radius of [ital r]=1.3 fm. The Nijmegen 1993 [ital [bar p]p] database, consisting of 3646 [ital [bar p]p] scattering data, is presented and discussed. The best fit to this database results in [chi][sub min][sup 2]/[ital N][sub data]=1.043. This good fit to the data shows that the Nijmegen long- and intermediate-range potential is essentially correct. The pseudovector coupling constant of the charged pion to nucleons is determined to be [italmore » f][sub [ital c]][sup 2]=0.0732(11) at the pion pole, where the error is statistical.« less

Authors:
; ;  [1]
  1. (Institute for Theoretical Physics, University of Nijmegen, Nijmegen (Netherlands))
Publication Date:
OSTI Identifier:
7103788
Alternate Identifier(s):
OSTI ID: 7103788
Resource Type:
Journal Article
Journal Name:
Physical Review, C (Nuclear Physics); (United States)
Additional Journal Information:
Journal Volume: 50:1; Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NEUTRON-ANTINEUTRON INTERACTIONS; PARTIAL WAVES; PROTON-ANTIPROTON INTERACTIONS; ANTINEUTRON REACTIONS; ANTIPROTON REACTIONS; COUPLING CONSTANTS; OBE MODEL; OPE MODEL; PHASE SHIFT; POTENTIALS; PSEUDOVECTOR COUPLING; SCATTERING AMPLITUDES; SCHROEDINGER EQUATION; AMPLITUDES; ANTINUCLEON REACTIONS; BARYON REACTIONS; BARYON-BARYON INTERACTIONS; BOSON-EXCHANGE MODELS; COUPLING; DIFFERENTIAL EQUATIONS; EQUATIONS; HADRON REACTIONS; HADRON-HADRON INTERACTIONS; INTERACTIONS; MATHEMATICAL MODELS; NUCLEAR REACTIONS; NUCLEON REACTIONS; NUCLEON-ANTINUCLEON INTERACTIONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE INTERACTIONS; PARTICLE MODELS; PERIPHERAL MODELS; WAVE EQUATIONS 663430* -- Nucleon-Induced Reactions & Scattering-- (1992-); 662130 -- General Theory of Particles & Fields-- S-Matrix Theory, Relativistic Scattering Theory-- (1992-); 663300 -- Nuclear Reactions & Scattering, General-- (1992-); 662340 -- Hadron Interactions-- (1992-)

Citation Formats

Timmermans, R., Rijken, T.A., and de Swart, J.J. Antiproton-proton partial-wave analysis below 925 MeV/[ital c]. United States: N. p., 1994. Web. doi:10.1103/PhysRevC.50.48.
Timmermans, R., Rijken, T.A., & de Swart, J.J. Antiproton-proton partial-wave analysis below 925 MeV/[ital c]. United States. doi:10.1103/PhysRevC.50.48.
Timmermans, R., Rijken, T.A., and de Swart, J.J. Fri . "Antiproton-proton partial-wave analysis below 925 MeV/[ital c]". United States. doi:10.1103/PhysRevC.50.48.
@article{osti_7103788,
title = {Antiproton-proton partial-wave analysis below 925 MeV/[ital c]},
author = {Timmermans, R. and Rijken, T.A. and de Swart, J.J.},
abstractNote = {A partial-wave analysis of all [ital [bar p]p] scattering data below 925 MeV/[ital c] antiproton laboratory momentum is presented. The method used is adapted from the Nijmegen phase-shift analyses of [ital pp] and [ital np] scattering data. We solve the Schroedinger equation for the coupled [ital [bar p]p] and [ital [bar n]n] channels where the long- and intermediate-range interactions are described by a theoretically well-founded potential. This gives the rapid variations of the scattering amplitudes with energy. This potential consists of the Coulomb potential with the main relativistic correction, the magnetic-moment interaction, the one-pion-exchange potential, and the heavy-boson exchanges of the Nijmegen one-boson-exchange potential. Slow variations of the amplitudes due to short-range interactions, including the coupling to mesonic annihilation channels, are parametrized by an energy-dependent, complex boundary condition, specified at a radius of [ital r]=1.3 fm. The Nijmegen 1993 [ital [bar p]p] database, consisting of 3646 [ital [bar p]p] scattering data, is presented and discussed. The best fit to this database results in [chi][sub min][sup 2]/[ital N][sub data]=1.043. This good fit to the data shows that the Nijmegen long- and intermediate-range potential is essentially correct. The pseudovector coupling constant of the charged pion to nucleons is determined to be [ital f][sub [ital c]][sup 2]=0.0732(11) at the pion pole, where the error is statistical.},
doi = {10.1103/PhysRevC.50.48},
journal = {Physical Review, C (Nuclear Physics); (United States)},
issn = {0556-2813},
number = ,
volume = 50:1,
place = {United States},
year = {1994},
month = {7}
}