Neutrino exchange and asymptotic behaviour of weak interaction cross sections

It is argued that total cross sections cannot increase asymptotically as a power of energy even in the presence of massless particle exchange. Elastic νν scattering is considered as an example. The properties of s- and t-channel partial waves are analysed and it is shown that the above statement is true if the amplitude is bounded by a polynomial in s for s→∞ and t>0 and if its singularity at t=0 is dominated by two-particle exchange.     

Theoretical physics to analytics

This paper is based on the author’s lecture at the Congress of Russian Analysts in April 2010. Attention is paid to the natural advance in the old trend towards the introduction of the achievements of experimental physics into the practice of analytical chemistry. As a result, many things originally appeared in the closed world of physical laboratories have came to the wide expanse of instrumental analytics. Now the collaboration of physics with analytical chemists is going to the next level, practical needs in the determination of compounds rather than elements as result in the sophistication of the facilities for the processing of experimental data, which in turn calls for the use of not only new experimental methods but also many branches of theoretical physics for solving analytical problems. This problem is considered on several examples demonstrating important applied results.