Field-theoretic low equation approach to pion-nucleus scattering

Journal Article · Fri Oct 31 23:00:00 EST 1975 · Phys. Rev., C, v. 12, no. 5, pp. 1595-1606

DOI:https://doi.org/10.1103/PhysRevC.12.1595· OSTI ID:4157215

Cammarata, J B; Banerjee, M K

From the pion-nucleus Low equation in the one-meson approximation we obtain an uncoupled, nonlinear, singular integral equation to determine the crossing symmetric elastic pion-nucleus scattering amplitude. The driving term of this equation is evaluated in an impulse single-scattering approximation for (J/sup $pi$/ = 0$sup +$, I = 0) ground state nuclei. It is found that unitarity requires that we include the effects of the strong absorption of the low partial waves in the entrance and exit channels. Thus, we introduce distortion of the pion waves by a procedure used in the inelastic peripheral scattering of elementary particles. Numerical results are presented for the iterative solution of this equation for $pi$$-$$sup 12$C scattering in the energy region of the (3,3) resonance. (AIP)

• Research Organization: Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-011022
• OSTI ID: 4157215
• Journal Information: Phys. Rev., C, v. 12, no. 5, pp. 1595-1606, Journal Name: Phys. Rev., C, v. 12, no. 5, pp. 1595-1606; ISSN PRVCA
• Country of Publication: United States
• Language: English

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