Low-energy neutral-current neutrino scattering onTe128,130isotopes

Abstract

Differential, total, and cumulative cross section calculations for neutral current neutrino scattering on 128,130 Te isotopes are performed in the context of the quasiparticle random phase approximation by utilizing realistic twonucleon forces. These isotopes are the main contents of detectors of ongoing experiments with multiple neutrino physics goals (COBRA and CUORE at Gran Sasso), including potential low-energy astrophysical neutrino (solar, supernova, geoneutrinos) detection. The incoming neutrino energy range adopted in our calculations (ε ν 100 MeV) covers the low-energy β-beam neutrinos and the pion-muon stopped neutrino beams existing or planned to be conducted at future neutron spallation sources. The aim of these facilities is to measure neutrino-nucleus cross sections at low and intermediate neutrino energies with the hope of shedding light on open problems in neutrino-induced reactions on nuclei and neutrino astrophysics. Such probes motivate theoretical studies on weak responses of various nuclear systems; thus the evaluated cross sections may be useful in this direction. V. TSAKSTARA AND T. S. KOSMAS PHYSICAL REVIEW C 83, 054612 (2011) mag(5) J (q) J i | 2The definitions of the eight multipole operators M (5)Obviously, for normal parity transitions, C V A contains contributions of T el J and T mag5 J operators while for abnormal parity ones it contains matrix elements of T mag J and T el5 J . The reduced one-body matrix elements of the eight multipole operators entering Eqs. (9) and (10) are evaluated through the use of the analytic formulas derived in Ref. [8] (see the Appendix).The magnitude of the three-momentum transfer q ≡ |q| and the square of the four-momentum transfer q 2 µ entering Eqs. (4)-(10) are written in terms of the kinematical parameters (laboratory scattering angle θ and lepton energies ε i and 054612-3 V. TSAKSTARA AND T. S. KOSMAS PHYSICAL REVIEW C 83, 054612 (2011)

Neutral-current neutrino-nucleus reactions and their impact to supernova physics

“…The first parameters renormalize the pairing force and adjust the gaps ∆ th p,n to the empirical ones, ∆ exp p,n , obtained through the application of the well known three point formulae [4]. [2]. The model space used consists of the major shells with N = 2, 3, 4 ω (inert core 16 O) which include 14 single particle orbits.…”

“…The model space used consists of the major shells with N = 2, 3, 4 ω (inert core 16 O) which include 14 single particle orbits. The excited states |J π f f have been checked by comparing the low-lying QRPA spectrum with the corresponding experimental excitations by adjusting accordingly the parameters that renormalize the particle-particle (g pp ) and particlehole (g ph ) channels of the residual two-body matrix elements entering the QRPA matrices [2].…”

“…However, the very low ν-interaction cross-section is simultaneously the biggest disadvantage for their detection that can be probed through measuring Cherenkov light from secondary particles or through the de-excitation products of ν-induced excitations of nuclear ν-detectors in extremely sensitive (mostly underground) experiments. Such probes, however, need significant event rates and, therefore, huge volume detectors have to be constructed [2,3,4]. On the other hand, from supernova (SN) physics it is known that, the death of massive (with mass M ≥ 8 − 10M ⊙ ) stars is marked through very energetic explosions known as core-collapse supernovae.…”

“…): (i) for measuring rare events (double-beta decay, etc. [5,6]) and (ii) for potential use in studying neutrino physics issues [2,3,4]. Second, we treat charged-current (CC) interactions of neutrinos with the above nuclei.…”

“…Neutrino-nucleus cross sections at zero temperature By applying the Donnelly-Walecka multipole decomposition method [2], the double differential cross section of NC ν-nucleus scattering reads…”