Decay probability

If we start with a particular number of nuclei at a particular time which we can call T=0, then the time at which half of the nuclei originally present are gone is called the half-life. The half-life and the decay probability are related by... 

Second, this decay allows to study the nature of p,ui and (ft— meson mixing. Note,that in references (Nasriddinov, 1994 Nasriddinov, 2001) the problems of 7r° — rj - and io — (ft mixings have been studied on the basis of this model as well and obtained reasonable results for the r-lepton decay probabilities. In this calculation, we used ui — 0-mixing... 

The simplest interpretation of these results is that a rat which was to exhibit no dental decay had genetically determined nutritional requirements such that, from the time the original egg was fertilized to the end of the experiment, it was supplied with enough of all the elements required to promote growth, development, and maintenance of healthy teeth. On the other hand, the rat that was to show extensive dental decay probably had genetically determined nutritional requirements such that deficiencies did develop, particularly on the caries-inducing diet. 

Other computer simulations were made to test the classical theory. Recently, Ford and Vehkamaki, through a Monte-Carlo simulation, have identified fhe critical clusters (clusters of such a size that growth and decay probabilities become equal) [66]. The size and internal energy of the critical cluster, for different values of temperature and chemical potential, were used, together with nucleation theorems [66,67], to predict the behaviour of the nucleation rate as a function of these parameters. The plots for (i) the critical size as a function of chemical potential, (ii) the nucleation rate as a function of chemical potential and (iii) the nucleation rate as a function of temperature, suitably fit the predictions of classical theory [66]. 

The decay probability P(t) completely coincides with that obtained for ideal impulsive measurements at intervals Tj [9, 14, 15] and demonstrates either the AZE (Eigure 4.4b) or the QZE (Figure 4.4c) behavior, depending on the rate of modulation. 

The nonexponential decay probably arises as a result of variations in the spacings between the ions forming the resonance-coupled pairs. The asymptotic approach to a simple exponential is understood by realizing that there must exist some uncoupled ions in the doubly doped samples. 

As an example we treat the decay process of IV.6 in terms of the master equation. The decay probability y per unit time is a property of the radioactive nucleus or the excited atom, and can, in principle, be computed by solving the Schrodinger equation for that system. To find the long-time evolution of a collection of emitters write P(n, t) for the probability that there are n surviving emitters at time t. The transition probability for a... 

Mil stein, A.I. and Khriplovich, I.B. (1994). Large relativistic corrections to the positronium decay probability. JETP 79 379-383. 

The potential energy curves for some electronic states (such as 3/1i7s, 3i3ng and 3h3S ) exhibit maxima at finite internuclear distances ( 4—6ao), so that the upper vibrational states of these electronic states are unstable against dissociation by quantum-mechanical tunnelling. The decay probabilities (or lifetimes) of such vibrational states are still unknown, except for the 3h3S electronic state [55,71]. 

For the particular example in Fig. 4, the lowest resonance state is found at E = 8.75 - i0.05, while the next one has the energy E = 18.01 — iO.45. The positive real parts of the eigenenergies, ReE = Eq, indicate that these states are unbound with energies high above the dissociation limit, E — 0. The imaginary parts, which will be denoted —F/2, are related to the decay probability in a unit time interval, k [18]. Indeed, the time dependence of the wave function x(- ) is given by... 

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