I Algorithmic model for primary decay chains

Admiralibr123
Messages
14
Reaction score
5
TL;DR Summary
Has there been written an algorithmic model in which you put in A and Z integers and it predicts the whole decay chain of isotopes.
I have seen "radioactivedecay.py" python library which employs measured experimental data for its calculations. I have seen models that solve the system of differential equation with numerical algorithms to predict the proportion of nuclides at any given time. But I have yet to see a computational algorithmic model which predicts the whole decay chain (half lives/##\lambda## are optional). Does such a model exist? Is it possible for it to exist?

What I have in mind is a piece of code to which you input only the value of A and Z and it shows you in a graphic or as a list/array all the primary isotopes and modes of decay of the isotope. After this we could add complexity to it and try to predict the probability of all the possible decay chains. We could then try to compare it with the experimental data we have.

I have no idea if every algorithm imaginable can be turned into an equation or not but if there is a class which can and we implement it using that class and then turn it into an equation and it simplifies to something more elegant than what we have today. It would be epic. What do you think of this idea? Has it been already done? Is it impossible? Does the changing into an equation an impossible task?

Googling has resulted in inconclusive results so this is my last hope. Thank You very much.
 
Physics news on Phys.org
Do you want an ab-initio prediction for all the decay modes? That won't be accurate. You need experimental data.
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
Back
Top