Gravitational-Wave Stochastic Background Detection with Resonant-Mass Detectors

Abstract

In this paper we discuss how the standard optimal Wiener filter theory can be applied, within a linear approximation, to the detection of an isotropic stochastic gravitational-wave background with two or more detectors. We apply then the method to the AURIGA-NAUTILUS pair of ultra low temperature bar detectors, near to operate in coincidence in Italy, obtaining an estimate for the sensitivity to the background spectral density of $\simeq 10^{-49}H{z}^{-1}$, that converts to an energy density per unit logarithmic frequency of $\simeq 8\times 10^{-5}\times {\rho }_c$ with ${\rho }_c\simeq 1.9\times 10^{-26}kg/m^3$ the closure density of the Universe. We also show that by adding the VIRGO interferometric detector under construction in Italy to the array, and by properly re- orienting the detectors, one can reach a sensitivity of $\simeq 6\times 10^{-5}\times {\rho }_c$. We then calculate that the pair formed by VIRGO and one large mass spherical detector properly located in one of the nearby available sites in Italy can reah a sensitivity of $\simeq 2\times 10^{-5}\times {\rho }_c$ while a pair of such spherical detectors at the same sites of AURIGA and NAUTILUS can achieve sensitivities of $\simeq 2\times 10^{-6}{\rho }_c$.

32 pages, postscript file, also available at http://axln01.lnl.infn.it/reports/stoch.html

Cited by in corpus (12)

• Gravitational Wave Experiments and Early Universe Cosmology
• The Pre-Big Bang Scenario in String Cosmology
• Production and detection of relic gravitons in quintessential inflationary models
• Science with the TianQin Observatory: Preliminary Results on Stochastic Gravitational-Wave Background
• Wideband dual sphere detector of gravitational waves
• A hollow sphere as a detector of gravitational radiation
• Cosmic microwave background polarization, Faraday rotation and stochastic gravity-waves backgrounds
• Sensitivity of a VIRGO pair to stochastic GW backgrounds
• Optimizing Pulsar Timing Arrays Observations for Detection and Characterization of Low-Frequency Gravitational Wave Sources
• Comparison of advanced gravitational-wave detectors
• On the Detection of a Scalar Stochastic Background of Gravitational Waves
• Stochastic backgrounds of gravitational waves and spherical detectors