Angular distribution in twoparticle emission induced by neutrinos and electrons
Abstract
The angular distribution of the phase space arising in twoparticle 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 twoparticle 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 phasespace function, which is proportional to the twoparticletwohole (2p2h) 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.
 Publication:

Physical Review D
 Pub Date:
 September 2014
 DOI:
 10.1103/PhysRevD.90.053010
 arXiv:
 arXiv:1407.7122
 Bibcode:
 2014PhRvD..90e3010S
 Keywords:

 13.15.+g;
 25.30.Pt;
 24.10.Jv;
 Neutrino interactions;
 Neutrino scattering;
 Relativistic models;
 Nuclear Theory;
 High Energy Physics  Phenomenology
 EPrint:
 7 pages, 3 figures. Minor revision. Updated references