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The main purpose of this study is to review the Schenberg resonant antennatransfer function and to recalculate the antenna design strain sensitivity forgravitational waves. We consider the spherical antenna with six transducers inthe semi dodecahedral configuration. When coupled to the antenna, thetransducer-sphere system will work as a mass-spring system with three masses.The first one is the antenna effective mass for each quadrupole mode, thesecond one is the mass of the mechanical structure of the transducer firstmechanical mode and the third one is the effective mass of the transducermembrane that makes one of the transducer microwave cavity walls. All thecalculations are done for the degenerate (all the sphere quadrupole modefrequencies equal) and non-degenerate sphere cases. We have come to theconclusion that the 'ultimate' sensitivity of an advanced version of Schenbergantenna (aSchenberg) is around the standard quantum limit (although theparametric transducers used could, in principle, surpass this limit). However,this sensitivity, in the frequency range where Schenberg operates, has alreadybeen achieved by the two aLIGOs in the O3 run, therefore, the only reasonablejustification for remounting the Schenberg antenna and trying to place it inthe sensitivity of the standard quantum limit would be to detect gravitationalwaves with another physical principle, different from the one used by laserinterferometers. This other physical principle would be the absorption of thegravitational wave energy by a resonant mass like Schenberg.

The Design Strain Sensitivity of the Schenberg Spherical Resonant Antenna for Gravitational Waves