One pion production in neutrino reactions: Including nonresonant background

Abstract

We investigate neutrino induced one pion production on nucleons. The elementary neutrinonucleon cross section is calculated as the sum of the leading Delta pole diagram and several background diagrams obtained within the nonlinear sigma model. This approach does not introduce any new adjustable parameters, which allows unambiguous predictions for the observables. Considering electroproduction experiments as benchmark, the model is shown to be applicable up to pion-nucleon invariant mass W < 1.4 GeV and provides a good accuracy. With respect to the total one pion cross section, the model predicts the background at the level of 10% for the pπ + , 30% for pπ 0 , and 50% for nπ + final states. The results are compared with experimental data for various differential cross sections. Distributions with respect to muon-nucleon and muon-pion invariant masses are presented for the first time. The model describes the data quite well, with the discrepancies being of the same order as those between different data sets.

Inclusive charged-current neutrino-nucleus reactions

“…[1] for the eN → e ′ N π reaction. For the latter case, the model, that contains a theoretically well founded description of the background amplitudes, provides the same level of accuracy [36] as the MAID model [46], which ensures its applicability to the leptoproduction processes at least up to W < 1.4 GeV, being W the outgoing πN invariant mass.…”

“…The matter of π production induced by neutrinos is also of much interest [29][30][31][32][33][34][35][36]. The elementary reaction on the nucleon, at low and intermediate energies, includes both background and resonant mechanisms.…”

Neutrinoproduction of photons and pions from nucleons in a chiral effective field theory for nuclei

“…There have been numerous earlier studies of neutrinoproduction of pions from nucleons in the resonance region [26,29,30,33,[35][36][37][38][39][40][41][42][43]. They basically fall into two categories.…”

“…In the second category, [26,35,40,42,43], the contributions are summed coherently including the background, since either an effective Hamiltonian or lagrangian is utilized.…”

Pion Production in Wroclaw Neutrino Event Generator and its Comparison with Other Generators

“…In the ∆ resonance region GiBUU includes an effective implementation [39] of the HNV [10] nonresonant background. One adds to the cross section a term including both contributions of pure background as well as background-∆(1232) interference amplitudes.…”