Angular distribution in two-particle emission induced by neutrinos and electrons
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PhysRevD.90.053010.pdf
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Author(s)
Simo, I. Ruiz
Albertus, C.
Amaro, J. E.
Barbaro, M. B.
Caballero, J. A.
Donnelly, T William
Date Issued
September 2014
Journal
Physical Review D
Publisher
American Physical Society
Citation
Simo, I. Ruiz, C. Albertus, J. E. Amaro, M. B. Barbaro, J. A. Caballero, and T. W. Donnelly. "Angular distribution in two-particle emission induced by neutrinos and electrons." Phys. Rev. D 90, 053010 (September 2014). © 2014 American Physical Society
Version
Final published version
Abstract
The angular distribution of the phase space arising in two-particle emission reactions induced by electrons and neutrinos is computed in the laboratory (Lab) system by boosting the isotropic distribution in the center of mass (CM) system used in Monte Carlo generators. The Lab distribution has a singularity for some angular values, coming from the Jacobian of the angular transformation between CM and Lab systems. We recover the formula we obtained in a previous calculation for the Lab angular distribution. This is in accordance with the Monte Carlo method used to generate two-particle events for neutrino scattering [J. T. Sobczyk, Phys. Rev. C 86, 015504 (2012)]. Inversely, by performing the transformation to the CM system, it can be shown that the phase-space function, which is proportional to the two-particle-two-hole (2p-2h) hadronic tensor for a constant current operator, can be computed analytically in the frozen nucleon approximation, if Pauli blocking is absent. The results in the CM frame confirm our previous work done using an alternative approach in the Lab frame. The possibilities of using this method to compute the hadronic tensor by a boost to the CM system are analyzed.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.90.053010
