Pion-deuteron elastic scattering in a relativistic three-body theory

V. B. Mandelzweig, H. Garcilazo, J. M. Eisenberg

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

Pion-deuteron elastic scattering in the region of the 3, 3 7π N resonance is considered in a relativistic three-particle theory. All spin and isospin effects are retained, as are all partial waves which make significant contribution to the scattering. The present numerical results are based on the inclusion of the P33πN channel only, and on the neglect of the NN force in intermediate states. Pion rescattering effects are found to amount to about 20% contributions in cross sections. Sensitivity to the parametrization of the P33 πN amplitude (including its off-energy-shell behavior), to the deuteron wave function, to the use of a nonrelativistic linearized propagator, and to the freezing of the deuteron by taking the nucleons to be infinitely massive is examined. © 1976.
Original languageAmerican English
Pages (from-to)461-478
Number of pages413
JournalNuclear Physics, Section A
DOIs
StatePublished - 19 Jan 1976
Externally publishedYes

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Mesons
Deuterium
deuterons
elastic scattering
pions
particle theory
nucleons
freezing
Freezing
wave functions
inclusions
propagation
sensitivity
cross sections
scattering
energy

Cite this

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abstract = "Pion-deuteron elastic scattering in the region of the 3, 3 7π N resonance is considered in a relativistic three-particle theory. All spin and isospin effects are retained, as are all partial waves which make significant contribution to the scattering. The present numerical results are based on the inclusion of the P33πN channel only, and on the neglect of the NN force in intermediate states. Pion rescattering effects are found to amount to about 20{\%} contributions in cross sections. Sensitivity to the parametrization of the P33 πN amplitude (including its off-energy-shell behavior), to the deuteron wave function, to the use of a nonrelativistic linearized propagator, and to the freezing of the deuteron by taking the nucleons to be infinitely massive is examined. {\circledC} 1976.",
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Pion-deuteron elastic scattering in a relativistic three-body theory. / Mandelzweig, V. B.; Garcilazo, H.; Eisenberg, J. M.

In: Nuclear Physics, Section A, 19.01.1976, p. 461-478.

Research output: Contribution to journalArticle

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AU - Garcilazo, H.

AU - Eisenberg, J. M.

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