Pion-Deuteron Scattering in the Impulse Approximation [Thesis]

Technical Report · Sun Apr 01 04:00:00 EST 1956

DOI:https://doi.org/10.2172/4367754· OSTI ID:4367754

Rockmore, Ronald M. ^[1]

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1. Columbia University, Irvington-on-Hudson, NY (United States). Nevis Laboratories

The pure scattering model of Fernbach, Green, and Watson is used to obtain impulse approximation expressions for the elastic, elastic plus inelastic (closure approximation), and charge exchange (closure approximation) π-D differential cross sections. The net interference where p-wave scattering is dominant is found to be constructive; the interference due to charge exchange scattering is always negative. The Coulomb effect gives rise to strong destructive interference in the π⁺-D elastic component at 85 Mev (laboratory energy of incident pion) for angles <( 45°. The multiple scattering correction as calculated on Brueckner's model is approximately 10% of the free particle cross section and positive. However, a perturbation field-theoretic treatment of the ($$\frac{3}{2}, \frac{3}{2}$$) double scattering indicates that Brueckner’s model is unreliable at low energies. The binding correction to the impulse approximation is calculated using a p-state interaction hamiltonian (pv coupling) and found to be -3.2 mb at 85 Mev. The forward peak in the elastic differential cross section is found appreciably reduced by destructive interference arising from elastic ’’absorptive’’ scattering. It is concluded that, at energies ≲ 100 Mev, absorption corrections are significant, with the multiple scattering correction becoming important at higher energies.

• Research Organization: Columbia University, Irvington-on-Hudson, NY (United States). Nevis Laboratories
• Sponsoring Organization: US Atomic Energy Commission (AEC); US Department of the Navy, Office of Naval Research (ONR)
• NSA Number: NSA-10-008023
• OSTI ID: 4367754
• Report Number(s): NEVIS--26; CU-111-56-ONR-110-1-Physics
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ABSORPTION
ANGULAR DISTRIBUTION
BINDING ENERGY
COUPLING
CROSS SECTIONS
DEUTERONS
ELECTRIC CHARGES
FIELD THEORY
IMPULSE APPROXIMATION
INTERACTIONS
MEV RANGE
PARTICLE MODELS
PERTURBATION THEORY
PIONS
SCATTERING
WAVE MECHANICS