Convolutedν-Signals on¹¹⁴Cd Isotope from Astrophysical and Laboratory Neutrino Sources

Abstract

At first, we evaluate scattering cross sections of low, and intermediate-energy neutrinos scattered off the114Cd isotope, the most abundant Cd isotope present also in the COBRA detector (CdTe and CdZnTe materials) which aims to search for double beta decay events and neutrino observations at Gran Sasso laboratory (LNGS). The coherentν-nucleus channel addressed here is the dominant reaction channel of the neutral currentν-nucleus scattering. Ourν-nucleus cross sections (calculated with a refinement of the quasiparticle random-phase approximation, QRPA) refer to thegs→gstransitions forν-energiesεν≤100 MeV. Subsequently, simulatedν-signals on114Cd isotope are derived. Towards this purpose, the required folded cross section comes out of simulation techniques by employing several low, and intermediate-energy neutrino distributions of the astrophysicalν-sources, like the solar, supernova, and Earth neutrinos, as well as the laboratory neutrinos, the reactor neutrinos, the pion-muon stopped neutrinos, and theβ-beam neutrinos.

Simulated Neutrino Signals of Low and Intermediate Energy Neutrinos on Cd Detectors

“…(7). It should be noted that, the signal on the coherent neutrino-nucleus scattering experiments is significantly different compared to that of the incoherent scattering where the signal could be an outgoing particle or a deexcitation product [32]. The total coherent cross section σ tot (ε ν ) is obtained by integrating numerically Eq.…”

“…In this work, the required nuclear ground state wave functions are obtained from mean-field calculations using the successful Woods-Saxon interaction plus the monopole (pairing) interaction of the Bonn C-D potential. The ground state of the studied (even-even) 112,114,116 Cd isotopes (they have ground state spin |J πi i = |0 + gs ) is computed by solving iteratively the BCS equations [11,13,32,47,69].…”

“…Our present work focuses on the interpretation of various ν signals generated in nuclear detectors of terrestrial neutrino experiments through the investigation of the nuclear response of Cd detector materials to various neutrino energy spectra [3,4,26,32]. We emphasize on signals coming from geo-neutrinos, solarneutrinos, supernova-neutrinos, reactor-neutrinos and neutrinos generated from the decay of stopped pions and muons.…”

“…The main ingredients to this aim are: (i) The original differential and integrated cross sections of the neutral-current reactions of neutrinos, 112,114,116 Cd(ν, ν ′ ) 112,114,116 Cd * , and anti-neutrinos, 112,114,116 Cd( ν, ν ′ ) 112,114,116 Cd * , computed for the coherent channel by using a refinement of the quasi particle random phase approximation (QRPA) [11,13,[32][33][34]. (ii) Reliable descriptions of the shapes of neutrino energy distributions coming out of numerical simulations of distributions in neutrino-energies ε ν ≤ 100 − 120 MeV (for the above mentioned ν-sources).…”

“…The present article is an extension of our previous calculations performed in Ref. [11,13,32] and we used the same but slightly improved nuclear method. The extension refers to the employment of new detector isotopes and the better accuracy of the calculations [11][12][13]32].…”