# Bonn 2001 – wissenschaftliches Programm

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# GR: Gravitation und Relativitätstheorie

## GR 12: Alternative Ans

ätze

### GR 12.2: Fachvortrag

### Mittwoch, 28. März 2001, 17:45–18:00, VII

**A Novel Approach To The Decay Rate Retardation of Bound Muons** — •Tolga Yarman — Galatasaray University, Ortakoy, Istanbul, Turkey — Isik University, Ortakoy, Istanbul, Turkey

In our previous work, we established that, in a wave-like description
embodying a potential energy term made of Coulomb Potentials, if the
mass M of the object is multiplied by the hypothetical number γ,
then the size of space R in which this object is installed, shrinks as
much, and the total energy E of the object, is increased as much [1].
This occurance yields at once the quantum mechanical invariance of the
quantity EMR^{2}; furthermore this quantity happens to be girdled to
h^{2}, so that we end up with the relationship EMR^{2} h^{2} [1].
Note that this is in no way a dimension analysis. Anyway it would not
work, if the wave-like description embodies other potentials than
Coulomb Potentials, though of course, there still would be no problem in
regards to a dimension analysis. Our finding further holds for nuclear
wave-like objects embodying a potential term made of Yukawa Potentials.
The mass increase we introduced above, may very well be not
hypothetical, and this is indeed what one experiences, when a muon is
removed from a muoatom. Or the opposite, the mass of the muon decreases
as much as its binding energy, when the muon is bound to a nucleus; thus
its half life, according to our finding would, quantum mechanically,
increase as much as. Our prediction agrees with the experimental results
much better than the previous cumbersome theoretical predictions [2].
1. T. Yarman, Chimica Acta Turcica (Accepted: 23 September 1998).
2. R. W. Huff, Decay Rate of Bound Muons, Annals of Physics, 16: 288-317
(1961).