Paschos-Wolfenstein relation in a hadronic picture

Journal Article · Fri Dec 15 04:00:00 EST 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.74.065501· OSTI ID:20864240

Praet, C; Jachowicz, N; Ryckebusch, J; Vancraeyveld, P; Vantournhout, K ^[1]

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1. Department of Subatomic and Radiation Physics, Ghent University, Proeftuinstraat 86, B-9000 Gent (Belgium)

The Paschos-Wolfenstein (PW) relation joins neutral- and charged-current neutrino- and antineutrino-induced cross sections into an expression that depends on the weak mixing angle sin{sup 2}{theta}{sub W}. Contrary to the traditional approach with partonic degrees of freedom, we adopt a model built on hadronic degrees of freedom to perform a study of the PW relation at intermediate neutrino energies (100 MeV to 2 GeV). Running and upcoming high-statistics scattering experiments such as MiniBooNE, MINER{nu}A, FINeSSE and beta-beam experiments make a scrutiny of the PW relation timely. Employing a relativistic Glauber nucleon knockout model for the description of quasielastic neutrino-nucleus reactions, the influence of nuclear effects on the PW relation is investigated. We discuss nuclear model dependences and show that the PW relation is a robust ratio, mitigating the effect of final-state interactions, for example, to the 1% level. The role played by a possible strangeness content of the nucleon is investigated. It appears that the uncertainties arising from the poorly known strangeness parameters and the difficulties in nuclear modeling seriously limit the applicability of the PW relation as an intermediate-energy electroweak precision tool. On the other hand, we show that nuclear effects may be sufficiently well under control to allow the extraction of new information on the axial strangeness parameter. Results are presented for {sup 16}O and {sup 56}Fe.

• OSTI ID: 20864240
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 74; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANTINEUTRINOS
CHARGED CURRENTS
CROSS SECTIONS
DEGREES OF FREEDOM
FINAL-STATE INTERACTIONS
GEV RANGE
IRON 56
KNOCK-OUT REACTIONS
MEV RANGE
NEUTRINO-NUCLEON INTERACTIONS
NUCLEAR MODELS
NUCLEONS
OXYGEN 16
RELATIVISTIC RANGE
SCATTERING
STATISTICS
STRANGENESS
WEINBERG ANGLE