Diffraction theory analysis of pion elastic scattering from the calcium isotopes

Journal Article · Sun Sep 01 04:00:00 EDT 1985 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.32.983· OSTI ID:5368438

Germond, J; Johnson, M B; Johnstone, J A

We show that the experimental results for pion elastic scattering from the calcium isotopes in the ..delta../sub 33/ resonance region can be well represented at small angles in terms of the variables of diffraction theory. The parameters describing the amplitude reflect physics that can be attributed to pion and ..delta../sub 33/ dynamics in a microscopic approach, as well as to details of the neutron and proton densities. Using a phenomenological determination of the former, we show that the expermental results require a neutron skin in excess of that obtained from scaling the proton density according to the relative number of neutrons and protons. The experimental results are consistent with microscopic Hartree-Fock densities, provided that the ratio of isovector to isoscalar optical potential is substantially enhanced over the value obtained from the free pion-nucleon scattering amplitude. The size of this enhancement agrees with pion single-charge-exchange scattering from the calcium isotopes.

• Research Organization: Institut de Physique, Neuchtel, Switzerland
• OSTI ID: 5368438
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 32:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

651515* -- Nuclear Properties & Reactions
A=39-58
Theoretical-- Nuclear Reactions & Scattering-- (-1987)
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALKALINE EARTH ISOTOPES
AMPLITUDES
BARYONS
CALCIUM ISOTOPES
CHARGE-EXCHANGE REACTIONS
CHARGED-PARTICLE REACTIONS
COULOMB FIELD
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DIFFRACTION MODELS
EIKONAL APPROXIMATION
ELASTIC SCATTERING
ELECTRIC FIELDS
ELEMENTARY PARTICLES
FERMIONS
HADRON REACTIONS
HADRONS
HARTREE-FOCK METHOD
ISOTOPES
MATHEMATICAL MODELS
MESON REACTIONS
MOMENTUM TRANSFER
NEUTRONS
NUCLEAR REACTIONS
NUCLEONS
OPTICAL MODELS
PARTICLE MODELS
PION REACTIONS
PROTONS
SCATTERING
SCATTERING AMPLITUDES