Relativistic description of inclusive quasielastic proton-nucleus scattering with relativistic distorted-wave impulse approximation and random-phase approximation

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

DOI:https://doi.org/10.1103/PHYSREVC.83.044607· OSTI ID:21499586

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

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

We present a fully relativistic model for polarized inclusive quasielastic proton-nucleus scattering that includes relativistic distorted waves for the projectile and ejectile (RDWIA), as well as the relativistic random-phase approximation (RPA) applied to the target nucleus. Using a standard relativistic impulse approximation treatment of quasielastic scattering and a two-body Scalar, Pseudoscalar, Vector, Axial vector, Tensor (SPVAT) form of the current operator, it is shown how the behavior of the projectile/ejectile and target can be decoupled. Distortion effects are included via a full partial-wave expansion of the relativistic wave functions. Target correlations are included via the relativistic RPA applied to mean-field theory in quantum hadrodynamics. A number of novel analytical and numerical techniques are employed to aid in this highly nontrivial calculation. A baseline plane-wave calculation is performed for the reaction {sup 40}Ca(p-vector,p-vector{sup '}) at an energy of 500 MeV and an angle {theta}{sub c.m.}=40 deg. Here it is found that the effect of isoscalar correlations is a quenching of the cross section that is expected to become more pronounced at lower energies or for higher-density targets. A RDWIA calculation shows additional reduction and if isoscalar target correlations are included this effect is enhanced.

• OSTI ID: 21499586
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevC.83.044607; (c) 2011 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANTIPROTON REACTIONS
CALCIUM 40 TARGET
CORRELATIONS
CROSS SECTIONS
DISTORTED WAVE THEORY
EXPANSION
IMPULSE APPROXIMATION
MEAN-FIELD THEORY
MEV RANGE 100-1000
PARTIAL WAVES
PROTON-NUCLEON INTERACTIONS
QUASI-ELASTIC SCATTERING
QUENCHING
RANDOM PHASE APPROXIMATION
RELATIVISTIC RANGE
SIMULATION
TWO-BODY PROBLEM
WAVE FUNCTIONS
WAVE PROPAGATION
ANTINUCLEON REACTIONS
APPROXIMATIONS
BARYON REACTIONS
BARYON-BARYON INTERACTIONS
CALCULATION METHODS
DIRECT REACTIONS
ENERGY RANGE
FUNCTIONS
HADRON REACTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
MANY-BODY PROBLEM
MEV RANGE
NUCLEAR REACTIONS
NUCLEON REACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
QUASI-FREE REACTIONS
SCATTERING
TARGETS