Neutrino scattering off the stable cadmium isotopes: neutral-current processes

Abstract

In this work we present computed cross sections for the incoherent neutral-current neutrino scattering off the stable cadmium isotopes. The main focus is on supernova neutrinos. The nuclear states of the even-mass and odd-mass cadmium isotopes have been constructed using the quasiparticle random-phase approximation and the microscopic quasiparticle-phonon model, respectively. The computed cross sections are folded with suitably parametrized Fermi–Dirac distributions of the supernova (anti)neutrinos energies to obtain realistic estimates of the nuclear responses to these neutrinos.

Neutral-Current Neutrino-Nucleus Scattering off Xe Isotopes

“…For the even-mass isotopes this channel is more suppressed, but it becomes more significant for the lower energy solar neutrinos. Similar large 0 + contributions were observed in [26] for Cd isotopes. This is problematic as, in principle, the 0 + contribution is expected to be small because it vanishes at the limit q → 0.…”

“…This is characteristic behavior for neutral-current scattering, which has been observed in Ref. [26] for Cd isotopes, and in Ref. [27] for Mo isotopes.…”

“…We follow the choices of Refs. [26,36] and have the electron neutrinos described by parameters α = 3.0, E ν = 11.5 MeV, and T ν = 2.88 MeV, and the muon and tau neutrinos by α = 3.0, E ν = 16.3MeV, and T ν = 4.08MeV. Whenever we refer to supernova neutrinos in the following text these parameter values are used in the calculations.…”

“…The results for Cd isotopes in Ref. [26] in the case of electron neutrino range from 4.38 × 10 −42 cm 2 for 106 Cd to 4.96 × 10 −42 cm 2 for 111 Cd, with a general decreasing trend with increasing mass number for even-mass nuclei. Our results for Xe isotopes in Table 4 are very similar in magnitude, but the trend is rather rising than decreasing with increasing mass number.…”

Theoretical estimates of supernova-neutrino cross sections for the stable even-even lead isotopes: Charged-current reactions

“…In our previous works we have studied neutrino and antineutrino scatterings off molybdenum isotopes [13][14][15][16], cadmium isotopes [17][18][19], and 136 Xe [20]. Thus, the aim of the present work is to estimate and study in detail the charged-current supernova (anti)neutrino scattering off the stable even-even lead isotopes of mass numbers A = 204, 206, and 208.…”