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We investigate the mixing between the graviton and the dilaton (a Goldstone boson of the scale transformation). We show that there is no inconsistency in the proposed identification of the nonsense zero point of the f' trajectory with the dilaton. Particularly interesting results follow if the dilaton mass squared is of the order of Gor'-a, where G is the Newtonian gravity constant while a' is the universal slope of the Regge trajectories. The gravity potential between two hadrons contains a part having the finite range -30 km, which is too short to affect the planetary motions, yet is too long to allow an easy detection by laboratory experiments. The gravity constant Gm for large distances is equal to 3/4 of G which is measured by the Cavendish type experiment. In order to reproduce the gravity observed on the earth surface, we must assume the earth mass which is 4/3 times as large as the usual estimate. Preliminary but careful analyses indicate that contrary to a naive suspicion there would be no immediate contradictions with the known properties of the earth, although the model on the inside of the earth should be subject to considerable changes. Some experiments are suggested to detecte the proposed intermediate-range gravity. Other consequences are also discussed.
On Bound States in the Continuum of N-body Systems and the Virial Theorem. SERGIO ALBEVENO.
๐ SIMILAR VOLUMES
We study the small X behavior of the ground state energy, E(h), of the Hamiltonian -(d2/dsy