Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons

Abstract

Theν e + 2 H → e + + n + n, ν e + + n + n + p reactions (l = e, µ, τ ) are studied consistently in momentum space for (anti)neutrino energies up to 300 MeV. For most of these processes we provide predictions for the total cross sections and in the case of the (anti)neutrino-3 He and (anti)neutrino-3 H inelastic scattering we compute examples of essential response functions, using the AV18 nucleon-nucleon potential and a singlenucleon weak current operator. For the reactions with the deuteron we study relativistic effects in the final state kinematics and compare two-nucleon scattering states obtained in momentum and coordinate spaces. Our results from momentum space are compared with the theoretical predictions by G. Shen et al., Phys. Rev. C86, 035503 (2012). The observed disagreement can be attributed to the differences in kinematics and in the weak current operator.

Radiative pion capture in H2 , He3 , and Golak1, Skibiński2, Topolnicki3 et al. 2018Phys. Rev. CSelf Cite

“…In the present paper, we studied the π − + 2 H → γ + n + n, π − + 3 He → γ + 3 H, π − + 3 He → γ + n + d, π − + 3 He → γ + n + n + p, and π − + 3 H → γ + n + n + n reactions using traditional nuclear forces (the AV18 NN potential and the Urbana IX 3N force) and a simple single-nucleon transition operator. These calculations, like our studies of muon capture [65,66] or very recent investigations of some neutrino induced reactions [78], are ready to be systematically improved to encompass more complicated dynamical input. Many aspects of the performed calculations-like the role of the relativistic kinematics, the efficient methods of partial wave decomposition, or the convergence of our results with respect to the number of partial wave states-have been established already, and the predictions presented here can serve as an important benchmark.…”

Investigations of the few-nucleon systems within the LENPIC project

“…That is why we studied various electroweak processes: muon capture on 3 He and 3 H [48,49], (anti)neutrino scattering off 3 He and 3 H [50,51] and pion radiative capture in 3 He and 3 H [52] exactly in the same framework as electron scattering on 3 He and 3 H and photodisintegration of 3 He and 3 H [53], using the semi-phenomenological AV18 [2] potential and the single nucleon current, including additionally in some cases 3NF and 2N current effects. We not only provided realistic predictions for all the above mentioned reactions but argued that all these processes should be studied within LENPIC using the consistent nuclear forces and current operators.…”

Applications of the chiral potential with the semi-local regularization in momentum space to the disintegration processes

“…Our formalism for the (anti)neutrino induced deuteron disintegrations is essentially the same [26,28,29]. Especially, for the neutral-current (NC) driven processes the isospin structure of the current operator and the 2N final state are the same as for the photodisintegration reaction.…”