Neutral- and charged-current supernova-neutrino scattering off¹¹⁶Cd

Abstract

The interest in studies of neutrino-nucleus interactions goes beyond the study of the intrinsic properties of the neutrino extending to a variety of topics in astro-, nuclear and hadronic physics. We report in this paper the results of the calculations of the cross sections of inelastic neutrino-nucleus scattering off 116 Cd, focusing on the incoherent neutral-current and charged-current processes, at energies typical of supernova neutrinos. The required nuclear wave functions for the participant initial and final states are constructed using the quasiparticle random-phase approximation in its charge-conserving mode and charge-changing mode. The response of 116 Cd to supernova neutrinos and antineutrinos is computed by folding the computed cross sections with the assumed Fermi-Dirac distribution of the neutrino energies.

Neutrino-nucleus scattering offXe136

“…Consequently, we put F (±Z f ,E k ) = 1 and the absolute value of the three-momentum and the energy of the outgoing lepton are replaced by their effective values given by Eqs. (18) and (19), respectively. For more details we refer to Ref.…”

“…In previous works we have used the aforementioned theory to study the charged-current and neutral-current neutrino cross sections for the even-even [16,17] and the odd-mass Mo isotopes [18] and 116 Cd [19]. In the present work we adopt the quasiparticle random-phase approximation (QRPA; see, e.g., Ref.…”

Charged-current neutrino and antineutrino scattering offCd116described by Skyrme forces

“…These calculations were based on the Bonn one-bosonexchange potential [11] and the parameters of the Hamiltonian were adjusted locally, i.e., to the nucleus under consideration. The same line of work was later extended to the study of 116 Cd [12]. In this paper we extend our studies of 116 Cd and perform self-consistent calculations of the cross sections for the charged-current neutrino and antineutrino scatterings off 116 Cd based on ten different globally parametrized Skyrme interactions; see Ref.…”

“…In the Bonn calculation this is not the case since the single-particle energies and the residual Hamiltonian are produced separately. This inconsistency sets the energy of the IAS to 8.60 MeV in the Bonn calculation and leads to an unrealistically large 0 + contribution to the neutrino-nucleus scattering cross section [12]. The problem can be circumvented by shifting manually the location of the IAS to its empirical position as done in the present calculations (see Table V).…”

“…In our previous calculations [12] the required nuclear wave functions for the initial and final nuclear states were constructed using the quasiparticle random-phase approximation in its charge-changing mode (pnQRPA) where the mean field was of Woods-Saxon type and the two-body interaction was based on a G matrix of the Bonn one-bosonexchange type. In these new calculations the mean field is computed in a self-consistent way and the two-body interaction is of the Skyrme type.…”