Theoretical description of πd scattering up to 2 GeV/c incident momentum

Humberto Garcilazo, Leopold Mathelitsch

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We have calculated the differential cross section of πd elastic scattering for incident pion momenta between 500 and 2000 MeV/c. Our model takes into account the nucleon-nucleo 1S0, 3S1-3D1 and all the pion-nucleon S- and P-wave channels in a full three-body calculation, and all the pion-nucleon D-, F-, and G-wave channels within an impulse-approximation calculation. We considered the deuteron wave functions of the Paris and Bonn nucleon-nucleon potentials. Our model describes the experimental data rather well at low and high pionic energies, but gives a poor reproduction between momenta of 700 and 1000 MeV/c. In general, the Bonn wave functions yield results in slightly better agreement with the experimental cross sections than those from the Paris potential. © 1995.
Original languageAmerican English
Pages (from-to)639-657
Number of pages573
JournalNuclear Physics, Section A
DOIs
StatePublished - 4 Sep 1995

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Mesons
pions
momentum
scattering
wave functions
Paris
nucleon potential
cross sections
P waves
S waves
deuterons
impulses
elastic scattering
Deuterium
Reproduction
approximation
Theoretical Models
Nucleons
energy

Cite this

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abstract = "We have calculated the differential cross section of πd elastic scattering for incident pion momenta between 500 and 2000 MeV/c. Our model takes into account the nucleon-nucleo 1S0, 3S1-3D1 and all the pion-nucleon S- and P-wave channels in a full three-body calculation, and all the pion-nucleon D-, F-, and G-wave channels within an impulse-approximation calculation. We considered the deuteron wave functions of the Paris and Bonn nucleon-nucleon potentials. Our model describes the experimental data rather well at low and high pionic energies, but gives a poor reproduction between momenta of 700 and 1000 MeV/c. In general, the Bonn wave functions yield results in slightly better agreement with the experimental cross sections than those from the Paris potential. {\circledC} 1995.",
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Theoretical description of πd scattering up to 2 GeV/c incident momentum. / Garcilazo, Humberto; Mathelitsch, Leopold.

In: Nuclear Physics, Section A, 04.09.1995, p. 639-657.

Research output: Contribution to journalArticle

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T1 - Theoretical description of πd scattering up to 2 GeV/c incident momentum

AU - Garcilazo, Humberto

AU - Mathelitsch, Leopold

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AB - We have calculated the differential cross section of πd elastic scattering for incident pion momenta between 500 and 2000 MeV/c. Our model takes into account the nucleon-nucleo 1S0, 3S1-3D1 and all the pion-nucleon S- and P-wave channels in a full three-body calculation, and all the pion-nucleon D-, F-, and G-wave channels within an impulse-approximation calculation. We considered the deuteron wave functions of the Paris and Bonn nucleon-nucleon potentials. Our model describes the experimental data rather well at low and high pionic energies, but gives a poor reproduction between momenta of 700 and 1000 MeV/c. In general, the Bonn wave functions yield results in slightly better agreement with the experimental cross sections than those from the Paris potential. © 1995.

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