### Δ-mediated pion production in nuclei

Christophe Praet UGent, Natalie Jachowicz UGent and Jan Ryckebusch UGent (2009) 79(4).
abstract
We present a fully relativistic formalism for describing neutrino-induced Δ -mediated single-pion production in nuclei. We assess the ambiguities stemming from the Δ 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 σ - ω 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 Δ 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 Δ -production strength is underestimated by about 20 to 25%, a fraction that is due to the pionless decay modes of the Δ 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.
author
organization
alternative title
Delta-mediated pion production in nuclei
year
type
journalArticle (original)
publication status
published
subject
keyword
ENERGY, TRANSITION, FORM-FACTORS, NEUTRINO SCATTERING, PI(0) PRODUCTION, BEAM, NU
journal title
PHYSICAL REVIEW C
Phys. Rev. C
volume
79
issue
4
article number
044603
pages
12 pages
Web of Science type
Article
Web of Science id
000266634300033
JCR category
PHYSICS, NUCLEAR
JCR impact factor
3.477 (2009)
JCR rank
4/22 (2009)
JCR quartile
1 (2009)
ISSN
0556-2813
DOI
10.1103/PhysRevC.79.044603
language
English
UGent publication?
yes
classification
A1
I have transferred the copyright for this publication to the publisher
id
692818
handle
http://hdl.handle.net/1854/LU-692818
date created
2009-06-12 10:58:22
date last changed
2016-12-21 15:42:38
@article{692818,
abstract     = {We present a fully relativistic formalism for describing neutrino-induced \ensuremath{\Delta} -mediated single-pion production in nuclei. We assess the ambiguities stemming from the \ensuremath{\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 \ensuremath{\sigma} - \ensuremath{\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 \ensuremath{\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 \ensuremath{\Delta} -production strength is underestimated by about 20 to 25\%, a fraction that is due to the pionless decay modes of the \ensuremath{\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.},
articleno    = {044603},
author       = {Praet, Christophe and Lalakulich, Olga and Jachowicz, Natalie and Ryckebusch, Jan},
issn         = {0556-2813},
journal      = {PHYSICAL REVIEW C},
keyword      = {ENERGY,TRANSITION,FORM-FACTORS,NEUTRINO SCATTERING,PI(0) PRODUCTION,BEAM,NU},
language     = {eng},
number       = {4},
pages        = {12},
title        = {\ensuremath{\Delta}-mediated pion production in nuclei},
url          = {http://dx.doi.org/10.1103/PhysRevC.79.044603},
volume       = {79},
year         = {2009},
}


Chicago
Praet, Christophe, Olga Lalakulich, Natalie Jachowicz, and Jan Ryckebusch. 2009. “Δ-mediated Pion Production in Nuclei.” Physical Review C 79 (4).
APA
Praet, Christophe, Lalakulich, O., Jachowicz, N., & Ryckebusch, J. (2009). Δ-mediated pion production in nuclei. PHYSICAL REVIEW C, 79(4).
Vancouver
1.
Praet C, Lalakulich O, Jachowicz N, Ryckebusch J. Δ-mediated pion production in nuclei. PHYSICAL REVIEW C. 2009;79(4).
MLA
Praet, Christophe, Olga Lalakulich, Natalie Jachowicz, et al. “Δ-mediated Pion Production in Nuclei.” PHYSICAL REVIEW C 79.4 (2009): n. pag. Print.