Interaction without T-Channel: S-Channel Only

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Just wondering whether there's any interaction, where the t-channel is prohibited, only the s-channel ?
 
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If you meant "there is only the s-channel": e+ e- -> tau+ tau-, as one example. A more general class: Every reaction in which the result products do not couple to the incoming particles. Another example (either unfitting or better fitting, depending on what you are looking for): Compton scattering.
 
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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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