Pion single and double charge exchange in the resonance region: Dynamical corrections
- 1 April 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 27 (4), 1647-1668
- https://doi.org/10.1103/physrevc.27.1647
Abstract
We consider pion-nucleus elastic scattering and single- and double-charge-exchange scattering to isobaric analog states near the (3,3) resonance within an isospin invariant framework. We extend previous theories by introducing terms into the optical potential that are quadratic in density and consistent with isospin invariance of the strong interaction. We study the sensitivity of single and double charge exchange angular distributions to parameters of the second-order potential both numerically, by integrating the Klein-Gordon equation, and analytically, by using semiclassical approximations that explicate the dependence of the exact numerical results to the parameters of . The magnitude and shape of double charge exchange angular distributions are more sensitive to the isotensor term in than has been hitherto appreciated. An examination of recent experimental data shows that puzzles in the shape of the angular distribution at 164 MeV and in the dependence of the forward double charge exchange scattering on , , , and at the same energy may be resolved by adding an isotensor term in .
Keywords
This publication has 30 references indexed in Scilit:
- Observation of a Double Isobaric Analog State in the ReactionBi209(π+e,π−)At209Physical Review Letters, 1980
- Observation of Isobaric Analog States in Pion Single-Charge-Exchange ReactionsPhysical Review Letters, 1980
- Analytical theory of pion single and double charge exchange in resonance region. I. Geometrical limitPhysical Review C, 1980
- Pion-nucleus charge exchange reactionsPhysics Reports, 1979
- Nuclear scattering of low energy pionsPhysical Review C, 1979
- The pion-nucleus many-body problemPhysics Reports, 1979
- Pion-nucleus scattering at 50 MeVPhysics Letters B, 1977
- An improved π-12C optical potential at 50 MeVPhysics Letters B, 1976
- The inclusion of the Fermi motion in elastic pion-nucleus scattering calculationsNuclear Physics A, 1973
- Scattering of Mesons by Light NucleiPhysical Review B, 1955