Relativistic distorted-wave analysis of quasielastic proton-nucleus scattering

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.044616· OSTI ID:21499595

Titus, N P; Niekerk, D D. van; Hillhouse, G C ^[1]

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1. Department of Physics, University of Stellenbosch, Private Bag X1, Matieland 7602 (South Africa)

A relativistic distorted-wave impulse approximation formalism is presented for the calculation of quasielastic proton-nucleus scattering. It is shown that the double differential cross section may be written as a contraction between the hadronic tensor (describing the projectile and ejectile) and the polarization tensor (describing the nuclear target) and that this mathematical structure also holds for the case where distortions are included. The eikonal approximation is used to introduce distortions in the wave functions, and the nuclear response is described using a Fermi gas model. The highly oscillatory nine-dimensional integrand contained in the expression for the double differential cross section is computed using a novel technique based on combining traditional Gaussian integration methods with the powerful fitting functions in the matlab programming language. This work has successfully calculated the distorted-wave quasielastic differential cross section for proton-nucleus scattering within a fully relativistic framework. It is found that the distortions lead to a reduction in the double differential cross section and have a negligible effect on the computed spin observables.

• OSTI ID: 21499595
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 83; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
APPROXIMATIONS
BARYON-BARYON INTERACTIONS
CALCULATION METHODS
COMPUTERIZED SIMULATION
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DIRECT REACTIONS
DISTORTED WAVE THEORY
EIKONAL APPROXIMATION
ELEMENTARY PARTICLES
ENERGY RANGE
FERMI GAS MODEL
FUNCTIONS
HADRON-HADRON INTERACTIONS
HADRONS
IMPULSE APPROXIMATION
INTERACTIONS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEAR REACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
POLARIZATION
PROTON-NUCLEON INTERACTIONS
QUASI-ELASTIC SCATTERING
QUASI-FREE REACTIONS
RELATIVISTIC RANGE
SCATTERING
SIMULATION
SPIN
WAVE FUNCTIONS