“…This factor of half represents a very crude estimate of the ∆ + N → N + N to ∆ → Nπ and ∆ + N → N + N branching ratio. Theoretical results [12,13] are consistent with this factor. However, there could be both important Q 2 and model dependence in this branching ratio.…”
Section: Of ∆-H Excitations Leads To 2p-2h (C) P-h Plus All ∆-H Excitsupporting
We derive the contribution of ∆-h excitations to quasielastic charged-current neutrino-nucleus scattering in the framework of relativistic mean-field theory.We discuss the effect of ∆ production on the determination of the axial mass M A in neutrino scattering experiments. PACS number(s): 14.20.Dh, 13.15.+g, 21.60.Jz
“…This factor of half represents a very crude estimate of the ∆ + N → N + N to ∆ → Nπ and ∆ + N → N + N branching ratio. Theoretical results [12,13] are consistent with this factor. However, there could be both important Q 2 and model dependence in this branching ratio.…”
Section: Of ∆-H Excitations Leads To 2p-2h (C) P-h Plus All ∆-H Excitsupporting
We derive the contribution of ∆-h excitations to quasielastic charged-current neutrino-nucleus scattering in the framework of relativistic mean-field theory.We discuss the effect of ∆ production on the determination of the axial mass M A in neutrino scattering experiments. PACS number(s): 14.20.Dh, 13.15.+g, 21.60.Jz
“…m R and Γ R are the pole mass and the width of a resonance R, m is the current resonance mass, q and q R are the three-momenta of the pion in the reference frame of a resonance with mass m and m R , l is the angular momentum of the emitted pion (l = 1 for the Δ). The quantity δ is a parameter in the cut-off function which, in the case of Δ resonance, equals to δ = 0.3 GeV/c [35]. Such a parameterization which suppresses the high-mass tail of the resonance, is compatible with the description of the HADES data at a higher energy [29].…”
Section: Results and Comparison To Resonance Modelmentioning
Baryon resonance production in proton-proton collisions at a kinetic beam energy of 1.25 GeV is investigated. The multi-differential data were measured by the HADES Collaboration. Exclusive channels with one pion in the final state (npπ + and ppπ 0) were put to extended studies based on various observables in the framework of a one-pion exchange model and with solutions obtained within the framework of a partial wave analysis (PWA) of the Bonn-Gatchina group. The results of the PWA confirm the dominant contribution of the Δ(1232), yet with a sizable impact of the N (1440) and non-resonant partial waves.
“…The coincidence experiments of (p, n) reactions at the ∆ resonance [16] showed that a large portion of deltas in the medium decay without emitting pions. Furthermore, in theoretical calculations, a value of about 70 MeV has been used as the 2p-2h partial width [18,17]. Thus, experimental and theoretical results indicate a substantial amount of pionless delta decay in the medium.…”
Section: Resultsmentioning
confidence: 99%
“…Note, we have not included pion distortions in Eq. (18). These may somewhat reduce the cross section.…”
Neutrino-nucleus cross sections for the detection of atmospheric neutrinos are calculated in relativistic impulse and random phase approximations. Pion production is estimated via inclusive ∆-hole nuclear excitations. The number of pion events can confuse the identification of the neutrino flavor. As a further source of pions we calculate coherent pion production (where the nucleus remains in the ground state). We examine how these nuclear structure effects influence atmospheric neutrino experiments and study possible improvements in the present detector simulations. *
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