Determination of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>±</mo></mrow></msup></mrow><mrow><mrow><mover><mrow><mi>p</mi></mrow><mrow><mo>→</mo></mrow></mover></mrow></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>±</mo></mrow></msup></mrow><mrow><msup><mrow><mi>π</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mi>n</mi></math></span> cross section near threshold

J. B. Lange; A. Ambardar; F. Duncan; A. Feltham; G. Hofman; R. R. Johnson; G. Jones; M. Pavan; K. J. Raywood; D. Vetterli; J. T. Brack; D. Ottewell; G. R. Smith; M. E. Sevior

doi:10.1103/PhysRevC.61.025201

Determination of the $π^{\pm} \vec{p} π^{\pm} π^{+} n$ cross section near threshold

J. B. Lange, A. Ambardar, F. Duncan, A. Feltham, G. Hofman, R. R. Johnson, G. Jones, M. Pavan, K. J. Raywood, D. Vetterli, J. T. Brack, D. Ottewell, G. R. Smith, and M. E. Sevior

Phys. Rev. C 61, 025201 – Published 13 January 2000

Abstract

The total cross section for the $π^{-} \vec{p} π^{-} π^{+} n$ reaction has been measured at incident pion kinetic energies of 200, 190, 184, 180, and 176 MeV, and cross sections for the $π^{+} \vec{p} π^{+} π^{+} n$ reaction were obtained at 200 and 184 MeV. A fit of these cross sections by heavy baryon chiral perturbation theory yields values of $8.5 \pm {0.6 (m}_{π}^{- 3})$ and $2.5 \pm {0.1 (m}_{π}^{- 3})$ for the reaction matrix elements $A_{10}$ and $A_{32},$ and, for the s-wave isospin-0 and isospin-2 π-π scattering lengths, the values $a_{0} = 0.23 \pm {0.08 (m}_{π}^{- 1})$ and $a_{2} = - 0.031 \pm {0.008 (m}_{π}^{- 1}),$ respectively.

Received 2 July 1999

DOI:https://doi.org/10.1103/PhysRevC.61.025201

Authors & Affiliations

J. B. Lange^*, A. Ambardar, F. Duncan^†, A. Feltham, G. Hofman, R. R. Johnson, G. Jones, M. Pavan^‡, K. J. Raywood, and D. Vetterli^§

Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1

J. T. Brack^∥, D. Ottewell, and G. R. Smith

TRIUMF, 4004 Westbrook Mall, Vancouver, British Columbia, Canada V6T 2A3

M. E. Sevior^¶

School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia

^*Present address: Defense Research Establishment Ottawa, Nepean, Ontario Canada K1A 0Z4.
^†Present address: Dept. of Physics, Queen’s University, Kingston, Ontario Canada K7L 3N6.
^‡Present address: MIT, Cambridge, MA 02139.
^§Present address: Inselspital—University of Bern, Division of Medical Radiation Physics, CH-3010 Bern, Switzerland.
^∥Present address: Dept. of Physics, University of Colorado at Boulder, Boulder, CO 80309-0390.
^¶Electronic address: msevior@physics.unimelb.edu.au

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Vol. 61, Iss. 2 — February 2000

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