Relic neutrino detection through angular correlations in inverse $\beta$-decay

Abstract

Neutrino capture on beta-decaying nuclei is currently the only known potentially viable method of detection of cosmic background neutrinos. It is based on the idea of separation of the spectra of electrons or positrons produced in captures of relic neutrinos on unstable nuclei from those from the usual $\beta$-decay and requires very high energy resolution of the detector, comparable to the neutrino mass. In this paper we suggest an alternative method of discrimination between neutrino capture and $\beta$-decay, based on periodic variations of angular correlations in inverse beta decay transitions induced by relic neutrino capture. The time variations are expected to arise due to the peculiar motion of the Sun with respect to the C$\nu$B rest frame and the rotation of the Earth about its axis and can be observed in experiments with both polarized and unpolarized nuclear targets. The main advantage of the suggested method is that it does not depend crucially on the energy resolution of detection of the produced $\beta$-particles and can be operative even if this resolution exceeds the largest neutrino mass.

arXiv comment24 pages, 1 figure. v2: title changed, section 4 modified, Appendix B added, references added. v3: section 4 slightly expanded; eq. (B.7) corrected. Final version to be published in JCAP

References in corpus (17)

• Massive neutrinos and cosmology
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• Neutrinos in cosmology
• Current unknowns in the three neutrino framework
• Detecting non-relativistic cosmic neutrinos by capture on tritium: phenomenology and physics potential
• Charged current cross section for massive cosmological neutrinos impinging on radioactive nuclei
• Prospect for relic neutrino searches
• Prospects for the direct detection of the cosmic neutrino background
• Calculation of the local density of relic neutrinos
• Prospects for cosmic neutrino detection in tritium experiments in the case of hierarchical neutrino masses
• Direct Detection of the Cosmic Neutrino Background Including Light Sterile Neutrinos
• Relic Antineutrino Capture on 163-Ho decaying Nuclei
• Low Energy Antineutrino Detection Using Neutrino Capture on EC Decaying Nuclei
• Annual Modulation of Cosmic Relic Neutrinos
• Measuring Anisotropies in the Cosmic Neutrino Background
• Unbinned test of time-dependent signals in real-time neutrino oscillation experiments

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• Status and Perspectives of Neutrino Physics
• Cosmic neutrino background detection in the minimally extended Standard Model
• Numerical treatment of annual modulation of relic neutrinos