Invariant potential for elastic pion--nucleus scattering

Journal Article · Wed Dec 31 23:00:00 EST 1975 · Phys. Rev., C, v. 13, no. 1, pp. 299-314

DOI:https://doi.org/10.1103/PhysRevC.13.299· OSTI ID:4063806

Cammarata, J B; Banerjee, M K

From the Wick-Dyson expansion of the exact propagator of a pion in the presence of a nucleus, an invariant potential for crossing symmetric elastic pion- nucleus scattering is obtained in terms of a series of pion-nucleon diagrams. The Chew-Low theory is used to develop a model in which the most important class of diagrams is effectively summed. Included in this model is the exclusion principle restriction on the pion-bound nucleon interaction, the effects of the binding of nucleons, a kinematic transformation of energy from the lab to the $pi$N center of mass frame, and the Fermi motion and recoil of the target nucleons. From a numerical study of the effects of these processes on the $pi$- $sup 12$C total cross section, the relative importance of each is determined. Other processes contributing to the elastic scattering of pions not included in the present model are also discussed. (AIP)

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-027781
• OSTI ID: 4063806
• Journal Information: Phys. Rev., C, v. 13, no. 1, pp. 299-314, Journal Name: Phys. Rev., C, v. 13, no. 1, pp. 299-314; ISSN PRVCA
• Country of Publication: United States
• Language: English

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