Twonucleon emission in neutrino and electron scattering from nuclei: The modified convolution approximation
Abstract
In this paper, the theoretical formalism of inclusive leptonnucleus scattering in the twonucleon emission channel is discussed in the context of a simplified approach, the modified convolution approximation. This allows one to write the 2p2h responses of the relativistic Fermi gas as a folding integral of two 1p1h responses with the energies and momenta transferred to each nucleon. The idea behind this method is to introduce different average momenta for the two initial nucleons in the matrix elements of the twobody current, with the innovation that they depend on the transferred energies and momenta. This method treats exactly the twobody phase space kinematics, and reduces the formulae of the response functions from sevendimensional integrals over momenta to much simpler threedimensional ones. The applicability of the method is checked by comparing with the full results within a model of electroweak mesonexchange currents. Finally, the predictions are accurate enough, especially in the lowenergy threshold region where the average momentum approximation works the best.
 Authors:

 Universidad de Granada (Spain)
 Università di Torino and INFN, Torino (Italy)
 Universidad de Sevill (Spain)
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Publication Date:
 Research Org.:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1511587
 Alternate Identifier(s):
 OSTI ID: 1576036
 Grant/Contract Number:
 FC0294ER40818; IJCI201420038; FQM7632
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Annals of Physics
 Additional Journal Information:
 Journal Volume: 388; Journal Issue: C; Journal ID: ISSN 00034916
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; neutrino scattering; mesonexchange currents; 2p2h
Citation Formats
Ruiz Simo, I., Amaro, J. E., Barbaro, M. B., Caballero, J. A., Megias, G. D., and Donnelly, T. W. Twonucleon emission in neutrino and electron scattering from nuclei: The modified convolution approximation. United States: N. p., 2017.
Web. doi:10.1016/j.aop.2017.11.029.
Ruiz Simo, I., Amaro, J. E., Barbaro, M. B., Caballero, J. A., Megias, G. D., & Donnelly, T. W. Twonucleon emission in neutrino and electron scattering from nuclei: The modified convolution approximation. United States. doi:10.1016/j.aop.2017.11.029.
Ruiz Simo, I., Amaro, J. E., Barbaro, M. B., Caballero, J. A., Megias, G. D., and Donnelly, T. W. Sat .
"Twonucleon emission in neutrino and electron scattering from nuclei: The modified convolution approximation". United States. doi:10.1016/j.aop.2017.11.029. https://www.osti.gov/servlets/purl/1511587.
@article{osti_1511587,
title = {Twonucleon emission in neutrino and electron scattering from nuclei: The modified convolution approximation},
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 = {In this paper, the theoretical formalism of inclusive leptonnucleus scattering in the twonucleon emission channel is discussed in the context of a simplified approach, the modified convolution approximation. This allows one to write the 2p2h responses of the relativistic Fermi gas as a folding integral of two 1p1h responses with the energies and momenta transferred to each nucleon. The idea behind this method is to introduce different average momenta for the two initial nucleons in the matrix elements of the twobody current, with the innovation that they depend on the transferred energies and momenta. This method treats exactly the twobody phase space kinematics, and reduces the formulae of the response functions from sevendimensional integrals over momenta to much simpler threedimensional ones. The applicability of the method is checked by comparing with the full results within a model of electroweak mesonexchange currents. Finally, the predictions are accurate enough, especially in the lowenergy threshold region where the average momentum approximation works the best.},
doi = {10.1016/j.aop.2017.11.029},
journal = {Annals of Physics},
number = C,
volume = 388,
place = {United States},
year = {2017},
month = {12}
}
Web of Science