{delta}-mediated pion production in nuclei

Journal Article · Wed Apr 15 00:00:00 EDT 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.79.044603· OSTI ID:21289872

Praet, C; Lalakulich, O; Jachowicz, N; Ryckebusch, J ^[1]

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

We present a fully relativistic formalism for describing neutrino-induced {delta}-mediated single-pion production in nuclei. We assess the ambiguities stemming from the {delta} interactions and quantify the uncertainties in the axial form-factor parameters by comparing with the available bubble-chamber neutrino-scattering data. To include nuclear effects, we turn to a relativistic plane-wave impulse approximation (RPWIA) using realistic bound-state wave functions derived in the Hartree approximation to the {sigma}-{omega} Walecka model. For neutrino energies larger than 1 GeV, we show that a relativistic Fermi-gas model with appropriate binding-energy correction produces results that are comparable to the RPWIA that naturally includes Fermi motion, nuclear-binding effects, and the Pauli exclusion principle. Including {delta} medium modifications roughly halves the RPWIA cross section. Calculations for primary (prior to undergoing final-state interactions) pion production are presented for both electron- and neutrino-induced processes, and a comparison with electron-scattering data and other theoretical approaches is included. We infer that the total {delta}-production strength is underestimated by about 20 to 25%, a fraction that is due to the pionless decay modes of the {delta} in a medium. The model presented in this work can be naturally extended to include the effect of final-state interactions in a relativistic and quantum-mechanical way.

• OSTI ID: 21289872
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 79, Issue 4; Other Information: DOI: 10.1103/PhysRevC.79.044603; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
BOUND STATE
BUBBLE CHAMBERS
COMPARATIVE EVALUATIONS
CROSS SECTIONS
ELECTRON SCANNING
FERMI GAS MODEL
FINAL-STATE INTERACTIONS
FORM FACTORS
GEV RANGE 01-10
HARTREE-FOCK METHOD
IMPULSE APPROXIMATION
NEUTRINOS
NUCLEI
PARTICLE PRODUCTION
PAULI PRINCIPLE
PIONS
RELATIVISTIC RANGE
SCATTERING
SIMULATION
WALECKA MODEL
WAVE FUNCTIONS
WAVE PROPAGATION