On the correlations of masses and lifetimes of radionuclides and fundamental particles

Ramanna, R and Sreekantan, BV (1995) On the correlations of masses and lifetimes of radionuclides and fundamental particles. In: Modern Physics Letters A, 10 (9). pp. 741-753.

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Abstract

We show that for unstable fundamental particles and β and α emitting nuclides the product of mass M (ergs) and lifetime T (seconds) can be expressed by the quantised form MT=&planck; $(2^n/n)$ where n is an integer. The lifetime T is then expressible in the form T=(&planck;/M) $e^{nλ}$ where λ in the case of fundamental particles is a function of `n' only. In the case of β-emitters the mass M is that of the nucleon and in the case of α-emitters, the mass is the equivalent of the binding energy of the nucleus. The log T vs.n plots for the fundamental particles separate them out according to their flavour. The Heisenberg energy spread relation for decay can be written in the form $ΔE=M. (n/2^n)$ showing the connection between rest mass and lifetime through n. The ranges of n values indicate the strength of interaction during decay; n<10-strong, n=10-30-electromagnetic and `hidden strong' and n>40-weak. On this basis we set a lower limit of $6×10^{-21}$ seconds for the weak decay of the top quark (mass~174 Gev.). Some interesting properties of the functional form $n/2^n$ which is the backbone of the present analysis is discussed.

Item Type:	Journal Article
Publication:	Modern Physics Letters A
Publisher:	World Scientific Publishing
Additional Information:	Copyright of this article belongs to World Scientific Publishing.
Department/Centre:	Administration > Council Section
Date Deposited:	09 Jan 2008
Last Modified:	19 Apr 2019 17:21
URI:	http://eprints.iisc.ac.in/id/eprint/11083

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