The frozen nucleon approximation in two-particle two-hole response functions
Abstract
Here, we present a fast and efficient method to compute the inclusive two-particle two-hole (2p–2h) electroweak responses in the neutrino and electron quasielastic inclusive cross sections. The method is based on two approximations. The first neglects the motion of the two initial nucleons below the Fermi momentum, which are considered to be at rest. This approximation, which is reasonable for high values of the momentum transfer, turns out also to be quite good for moderate values of the momentum transfer q ≳kF. The second approximation involves using in the “frozen” meson-exchange currents (MEC) an effective Δ-propagator averaged over the Fermi sea. Within the resulting “frozen nucleon approximation”, the inclusive 2p–2h responses are accurately calculated with only a one-dimensional integral over the emission angle of one of the final nucleons, thus drastically simplifying the calculation and reducing the computational time. The latter makes this method especially well-suited for implementation in Monte Carlo neutrino event generators.
- Authors:
-
[1];
- Univ. of Granada (Spain). Carlos I Inst. of Theoretical and Computational Physics and Dept. of Atomic, Molecular and Nuclear Physics
- Univ. of Turin and National Inst. of Nuclear Physics (INFN), Torino (Italy). Dept. of Atomic Physics
- Univ. of Seville (Spain). Dept. of Atomic Physics
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics and Lab. for Nuclear Science and Dept. of Physics
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE; Ministry of Economy, Industry and Competitiveness (MINECO); European Regional Development Fund (ERDF); National Inst. of Nuclear Physics (INFN); Regional Government of Andalusia
- OSTI Identifier:
- 1353496
- Alternate Identifier(s):
- OSTI ID: 1427739
- Grant/Contract Number:
- FC02-94ER40818; FIS2014-559386-P; FIS2014-53448-C2-1; FQM-225; FQM160; FQM7632
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters. B
- Additional Journal Information:
- Journal Name: Physics Letters. B Journal Volume: 770 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 97 MATHEMATICS AND COMPUTING; Neutrino scattering; Meson-exchange currents; 2p–2h
Citation Formats
Ruiz Simo, I., Amaro, J. E., Barbaro, M. B., Caballero, J. A., Megias, G. D., and Donnelly, T. W. The frozen nucleon approximation in two-particle two-hole response functions. Netherlands: N. p., 2017.
Web. doi:10.1016/j.physletb.2017.04.063.
Ruiz Simo, I., Amaro, J. E., Barbaro, M. B., Caballero, J. A., Megias, G. D., & Donnelly, T. W. The frozen nucleon approximation in two-particle two-hole response functions. Netherlands. https://doi.org/10.1016/j.physletb.2017.04.063
Ruiz Simo, I., Amaro, J. E., Barbaro, M. B., Caballero, J. A., Megias, G. D., and Donnelly, T. W. Mon .
"The frozen nucleon approximation in two-particle two-hole response functions". Netherlands. https://doi.org/10.1016/j.physletb.2017.04.063.
@article{osti_1353496,
title = {The frozen nucleon approximation in two-particle two-hole response functions},
author = {Ruiz Simo, I. and Amaro, J. E. and Barbaro, M. B. and Caballero, J. A. and Megias, G. D. and Donnelly, T. W.},
abstractNote = {Here, we present a fast and efficient method to compute the inclusive two-particle two-hole (2p–2h) electroweak responses in the neutrino and electron quasielastic inclusive cross sections. The method is based on two approximations. The first neglects the motion of the two initial nucleons below the Fermi momentum, which are considered to be at rest. This approximation, which is reasonable for high values of the momentum transfer, turns out also to be quite good for moderate values of the momentum transfer q ≳kF. The second approximation involves using in the “frozen” meson-exchange currents (MEC) an effective Δ-propagator averaged over the Fermi sea. Within the resulting “frozen nucleon approximation”, the inclusive 2p–2h responses are accurately calculated with only a one-dimensional integral over the emission angle of one of the final nucleons, thus drastically simplifying the calculation and reducing the computational time. The latter makes this method especially well-suited for implementation in Monte Carlo neutrino event generators.},
doi = {10.1016/j.physletb.2017.04.063},
journal = {Physics Letters. B},
number = C,
volume = 770,
place = {Netherlands},
year = {Mon Jul 10 00:00:00 EDT 2017},
month = {Mon Jul 10 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2017.04.063
https://doi.org/10.1016/j.physletb.2017.04.063
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 13 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Neutrino and antineutrino quasielastic interactions with nuclei
journal, April 2010
- Martini, M.; Ericson, M.; Chanfray, G.
- Physical Review C, Vol. 81, Issue 4
Inclusive charged-current neutrino-nucleus reactions
journal, April 2011
- Nieves, J.; Simo, I. Ruiz; Vacas, M. J. Vicente
- Physical Review C, Vol. 83, Issue 4
Neutrino-nucleus quasi-elastic and 2p2h interactions up to 10 GeV
journal, December 2013
- Gran, R.; Nieves, J.; Sanchez, F.
- Physical Review D, Vol. 88, Issue 11
Measurement of inclusive charged current interactions on carbon in a few-GeV neutrino beam
journal, January 2011
- Nakajima, Y.; Alcaraz-Aunion, J. L.; Brice, S. J.
- Physical Review D, Vol. 83, Issue 1
The GENIE neutrino Monte Carlo generator
journal, February 2010
- Andreopoulos, C.; Bell, A.; Bhattacharya, D.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 614, Issue 1
Effect of the cross-section uncertainties on an analysis of neutrino oscillations
journal, June 2016
- Ankowski, Artur M.; Benhar, Omar; Mariani, Camillo
- Physical Review D, Vol. 93, Issue 11
Mesonic processes in deep-inelastic electron scattering from nuclei
journal, February 1981
- Van Orden, J. W.; Donnelly, T. W.
- Annals of Physics, Vol. 131, Issue 2
Meson-Exchange Currents and Quasielastic Antineutrino Cross Sections in the Superscaling Approximation
journal, April 2012
- Amaro, J. E.; Barbaro, M. B.; Caballero, J. A.
- Physical Review Letters, Vol. 108, Issue 15
Measurement of muon plus proton final states in interactions on hydrocarbon at
journal, April 2015
- Walton, T.; Betancourt, M.; Aliaga, L.
- Physical Review D, Vol. 91, Issue 7
Testing charged current quasi-elastic and multinucleon interaction models in the NEUT neutrino interaction generator with published datasets from the MiniBooNE and MINERνA experiments
journal, April 2016
- Wilkinson, C.; Terri, R.; Andreopoulos, C.
- Physical Review D, Vol. 93, Issue 7
Weak pion production off the nucleon
journal, August 2007
- Hernández, E.; Nieves, J.; Valverde, M.
- Physical Review D, Vol. 76, Issue 3
Measurement of Muon Neutrino Quasielastic Scattering on a Hydrocarbon Target at
journal, July 2013
- Fiorentini, G. A.; Schmitz, D. W.; Rodrigues, P. A.
- Physical Review Letters, Vol. 111, Issue 2
Measurement of the inclusive charged current cross section on iron and hydrocarbon in the T2K on-axis neutrino beam
journal, September 2014
- Abe, K.; Adam, J.; Aihara, H.
- Physical Review D, Vol. 90, Issue 5
Measurement of the inclusive charged current cross section on carbon in the near detector of the T2K experiment
journal, May 2013
- Abe, K.; Abgrall, N.; Aihara, H.
- Physical Review D, Vol. 87, Issue 9
Meson-exchange currents in quasi-elastic electron scattering from 12C and 40Ca nuclei
journal, October 1994
- Amaro, J. E.; Có, G.; Lallena, A. M.
- Nuclear Physics A, Vol. 578, Issue 3-4
Influence of short-range correlations in neutrino-nucleus scattering
journal, August 2016
- Van Cuyck, T.; Jachowicz, N.; González-Jiménez, R.
- Physical Review C, Vol. 94, Issue 2
The nucleon axial mass and the MiniBooNE quasielastic neutrino–nucleus scattering problem
journal, January 2012
- Nieves, J.; Ruiz Simo, I.; Vicente Vacas, M. J.
- Physics Letters B, Vol. 707, Issue 1
{\tt NuWro} Monte Carlo Generator of Neutrino Interactions --- First Electron Scattering Results
journal, January 2015
- Żmuda, J.; Graczyk, K. M.; Juszczak, C.
- Acta Physica Polonica B, Vol. 46, Issue 11
Meson-exchange currents and quasielastic neutrino cross sections in the superscaling approximation model
journal, January 2011
- Amaro, J. E.; Barbaro, M. B.; Caballero, J. A.
- Physics Letters B, Vol. 696, Issue 1-2
Neutrino Interactions with Nucleons and Nuclei: Importance for Long-Baseline Experiments
journal, October 2016
- Mosel, Ulrich
- Annual Review of Nuclear and Particle Science, Vol. 66, Issue 1
Unified approach for nucleon knock-out and coherent and incoherent pion production in neutrino interactions with nuclei
journal, December 2009
- Martini, M.; Ericson, M.; Chanfray, G.
- Physical Review C, Vol. 80, Issue 6
Neutrino quasielastic scattering on nuclear targets: Parametrizing transverse enhancement (meson exchange currents)
journal, September 2011
- Bodek, A.; Budd, H. S.; Christy, M. E.
- The European Physical Journal C, Vol. 71, Issue 9
Identification of Nuclear Effects in Neutrino-Carbon Interactions at Low Three-Momentum Transfer
journal, February 2016
- Rodrigues, P. A.; Demgen, J.; Miltenberger, E.
- Physical Review Letters, Vol. 116, Issue 7