Elastic scattering of pions on light nuclei: (II). A study in momentum space with Kisslinger's model

doi:10.1016/0375-9474(72)90873-1

Nuclear Physics A

Volume 180, Issue 2, 17 January 1972, Pages 472-484

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Abstract

We analyze the off-energy-shell contributions to the scattering of pions by nuclei. We then study the effects of off-energy-shell pion-nucleon scattering on the pion-nucleus elastic scattering amplitude.

References (11)

J.P. Dedonder
Nucl. Phys.
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H. Nielsen
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L.S. Kisslinger
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W.F. Baker et al.
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K.M. Watson et al.
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C. Schmit
Doctorat d'Etat
(1971)

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A review is given of recent developments in the study of the pion-nucleus interaction. Knowledge gained from experiments concerning the reaction mechanism and the influence of the nuclear environment on the pion interaction is discussed. The similarity of the physics deduced from multiple scattering theories, isobar-hole formulations and field theory models is indicated, and the importance of multi-nucleon effects is emphasized.
Pion-deutron and pion-nucleus scattering - a review
1980, Physics Reports
We review recent developments in the microscopic theory of pion-nucleus elastic scattering. Particular emphasis is placed on the connection which has developed between the sophisticated studies of the three-body πNN system, and the less rigorous (but equally sophisticated) treatments of the pion-nucleus many-body problem. Complete sections are devoted to an examination of the underlying pion-nucleon interaction, and also to the difficult question of the effect of absorption on elastic scattering. Our discussion leads very naturally to a comparison with recent data - both for elastic scattering and reactions.
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Elastic π± scattering on 4He, 16C, 16O and 40Ca
1979, Nuclear Physics, Section A
A calculation of π⁺ and π⁻ elastic scattering in the resonance region by four spin-zero nuclei is presented. A non-static first order optical potential which includes binding corrections and short range correlations is used. The comparison with the experimental data shows rather good agreement at and above the resonance but elastic scattering at lower energies is largely overestimated. The calculated angular distributions are more sensitive to the variations of the rms radius than to variations of the surface thickness of the nucleus.
A theory of low energy pion-nucleus scattering
1978, Nuclear Physics, Section A
We present a rigorous discussion of the theoretical first order π-nucleus optical potential, with particular emphasis on its three-body nature. A second order term [proportional to ρ²(r)], which represents the effects of true pion absorption, is also included by generalizing the quasi-deuteron model of Ericson et al. Calculations including Fermi motion, Pauli effects and an exact treatment of Coulomb-nuclear interference (as well as the binding and absorption mentioned above), have been performed for π-¹²C and π-⁴He scattering in the 24–110 MeV region. In general the agreement with the data is rather good, with true absorption playing an extremely important role at the lower end of this range.

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^†: Laboratoire associé au CNRS.

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Nuclear Physics A

Abstract

References (11)

Nucl. Phys.

Nucl. Phys.

Phys. Rev.

Phys. Rev.

Phys. Rev.

Collision Theory

Doctorat d'Etat

Cited by (35)

Pion-nucleus elastic scattering: theory and applications

Pion-nucleus interactions

Pion-deutron and pion-nucleus scattering - a review

Pion-nucleus charge exchange reactions

Elastic π<sup>±</sup> scattering on <sup>4</sup>He, <sup>16</sup>C, <sup>16</sup>O and <sup>40</sup>Ca

A theory of low energy pion-nucleus scattering