Strong and weak nuclear forces?

Dilawar Ali
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I can't understand completely the concept of strong nuclear force and weak nuclear force,,,
 
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To steal a quotation from P. A. M. Dirac, "That is a statement, not a question." :D

More seriously, you must have read something about the strong and weak forces. What, specifically, are you having trouble with? We're not mind-readers here, and I, for one, don't like to shoot blindly in the dark by trying to guess.
 
Strong nuclear force holds quarks together to form protons and neutrons, residue holds protons and neutrons to form nuclei.

Weak force is associated with beta decay of a nuclide.
 
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}...
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