"Yttrium-103 Creation: Seeking Help"

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speaking of sythetic elements does anyone know how yttrium-103 was created if you do that would be a big help
 
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Accoring to my nuclide table (http://atom.kaeri.re.kr/ton/nuc7.html), Y-103 has a half-life of only 0.23 sec. Most synthetic elements like this are formed by colliding beams of lighter nuclei, which fuse to form the desired nucleus, but I don't know about Y-103 in particular. Why are you interested in Y=103?
 
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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