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.

## 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=ℏ $(2^n/n)$ where n is an integer. The lifetime T is then expressible in the form T=(ℏ/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 |
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Additional Information: | Copyright of this article belongs to World Scientific Publishing. |

Department/Centre: | Others |

Date Deposited: | 09 Jan 2008 |

Last Modified: | 12 Jan 2012 05:19 |

URI: | http://eprints.iisc.ernet.in/id/eprint/11083 |

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