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A Unified Empirical Model for Quasielastic Interactions of Neutrino and Antineutrino with Nuclei

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

We propose a simple empirical model for evaluating the quasielastic neutrino- and antineutrino-nucleus cross sections, based on the conventional relativistic Fermi-gas model and the notion of running (dipole) axial-vector mass of the nucleon driven by two adjustable parameters (one of which is the ordinary axial mass of the nucleon). The suggested approach provides reasonable agreement with available consistent accelerator data on total, differential, and double differential quasielastic and quasielastic-like cross sections for different nuclear targets.

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Notes

  1. In some cases the result is dependent on extraction methods and data subsets used in the analyses; for example, in the recent T2K analyses [51], the effective \({{M}_{A}}\) parameter was measured to be \(1.26_{{ - 0.18}}^{{ + 0.21}}\) GeV or \(1.43_{{ - 0.22}}^{{ + 0.28}}\) GeV by using, respectively, the absolute or shape-only \({{p}_{\mu }} - \cos{{\theta }_{\mu }}\) event distributions. In Fig. 2 we show the first value only.

  2. It is already implemented into the GENIE neutrino generator (version 2.11.0 and higher) as an option.

  3. See [109] for a more sophisticated treatment of these matters.

  4. Recall that the \({{\nu }_{\mu }}\)D cross sections are calculated using the Singh-Arenhovel model [61]. The estimated values of \({{\left\langle {{{E}_{\nu }}} \right\rangle }_{{{\text{int}}}}}\) are almost insensitive to variations of \({{M}_{0}}\) within \(2\sigma \) uncertainty.

  5. The expected difference between the cross sections (per neutron) on argon and carbon is fully negligible at energies under consideration.

  6. To minimize the total uncertainty, we use the data for the real MINER\(\nu \)A and NOMAD targets and do not use those converted to carbon. We mention in passing that our estimations of \(M_{A}^{{{\text{RFG}}}}\) somewhat different from those reported by the experimenters since we use different input parameters and models for the vector form factors.

  7. These tunes are based on the same physics, except for the applied FSI model: hA 2018 and hN 2018 for, respectively, G18_10a_02_11a and G18_10b_02_11a. Since the differences in the calculated cross sections due to the FSI effects forecast by the two models are comparatively small, we illustrate in the figures only one FSI model; the quantitative statistical characteristics for both models are listed in Tables 1–4.

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ACKNOWLEDGMENTS

We thank to Ulrich Mosel, Stephen Dolan, Jose Amaro, and Ignacio Ruiz Simo for providing us with the scripts and tabulated data for their models. We are very grateful to Samoil Bilenky, Arie Bodek, Dmitry Naumov, Kendall Mahn, Alexander Olshevskiy, Olga Petrova, Oleg Samoylov, Oleg Teryaev, and our colleagues from the GENIE Collaboration for helpful discussions and critical comments.

Funding

Research of I.K. has been supported by the Russian Science Foundation grant no. 18-12-00271.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    I. D. Kakorin, K. S. Kuzmin & V. A. Naumov

  2. National Research Center “Kurchatov Institute”—A.I. Alikhanov Institute for Theoretical and Experimental Physics, 117218, Moscow, Russia

    K. S. Kuzmin

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  1. I. D. Kakorin
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  2. K. S. Kuzmin
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  3. V. A. Naumov
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Kakorin, I.D., Kuzmin, K.S. & Naumov, V.A. A Unified Empirical Model for Quasielastic Interactions of Neutrino and Antineutrino with Nuclei. Phys. Part. Nuclei Lett. 17, 265–288 (2020). https://doi.org/10.1134/S1547477120030061

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