RESTRICTIONS ON THE HYPOTHETICAL LONG-RANGE INTERACTIONS FROM THE CASIMIR-TYPE NULL EXPERIMENT WITH 3 TEST BODIES

A realistic null experiment is suggested in which the Casimir force be tween a plane plate and a spherical lens is compensated by the force o f gravitational attraction. This configuration is shown to be very sen sitive to the existence of additional hypothetical forces of Yukawa-ty pe or power laws. From the suggested null experiment the restrictions on the Yukawa constant alpha can be strengthened by a factor up to 100 0 in a wide range 10(-8) m < lambda < 10(-4) m and by a factor of 10 f or lambda from several centimeters to several meters. For power law in teractions the strengthening of restrictions by a factor of 20 is poss ible for the force decreasing as r-5.