https://doi.org/10.1140/epja/s10050-023-00944-6
Regular Article –Theoretical Physics
Neutrino and Antineutrino captures on 
O within QRPA models
1
Department of Physics, Faculty of Sciences, Arak University, 38156-8-8349, Arak, Iran
2
Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, Campus Soane Nazaré de Andrade, Rod. Jorge Amado Km 16, CEP 45662-900, Ilhéus, BA, Brazil
3
Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, CEP 22290-180, Urca, RJ, Brazil
4
Departamento de Física, Universidad Nacional de La Plata, C. C. 67, 1900, La Plata, Argentina
Received:
8
July
2022
Accepted:
4
February
2023
Published online:
23
February
2023
In this work we have evaluated the neutrino (NS) and antineutrino (AS) scattering cross sections on O and the inclusive muon capture rates at low energies within the Quasiparticle Random Phase Approximation (QRPA) and Projected QRPA (PQRPA) models. We present the first study of O
F and O
N cross sections. These reactions are an important nuclear input for astrophysical calculations such as the CNO cycle. We have employed the weak formalism developed in Krmpotić et al. (Phys Rev C 71:044319, 2005) to analyze neutrino/antineutrino-nucleus scattering. Within this formalism, the nuclear residual interaction is described by 
-force previously employed to evaluate single and double beta decays in QRPA models. The adopted parametrization leads to good results for the inclusive muon capture: we reproduce the available experimental data for the rate and the Gamow–Teller strength in F. We compared our results for the NS and AS cross sections on O with other theoretical evaluations on 
O, since there are no experimental data available for the processes on O. We noticed that the cross sections present a similar behavior as a function of the neutrino/antineutrino energy. For NS and AS we observed that the PQRPA procedure yields cross sections smaller than QRPA. We show that the Pauli blocking has an important role in the distribution of the partial contributions and the presence of two neutrons over the closed shell yields to higher NS cross sections than the AS cross sections. For NS and AS, the largest contribution comes from allowed and first-forbidden transitions, respectively.
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