Classical sum rules and spin correlations in photoabsorption and photoproduction processes

Details Classical sum rules and spin correlations in photoabsorption and photoproduction processes Classical sum rules and spin correlations in photoabsorption and photoproduction processes

2002-04-09

arxiv.org/abs/hep-ph/0204110v1

Phys.Rev. D66 (2002) 037901

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 2 figures

Scientific paper

10.1103/PhysRevD.66.037901

In this paper we study the possibility of generalizing the classical photoabsorption ($\gamma a \to b c$) sum rules, to processes $b c \to \gamma a$ and crossed helicity amplitudes. In the first case, using detailed balance, the sum rule is written as $\int_{\nu_{th}}^\infty {\frac{{d\nu}}{\nu}} K\Delta \sigma_{Born} (\nu)=0$ where $K$ is a kinematical constant which depends only on the mass of the particles and the center of mass energy. For other crossed helicity amplitudes, we show that there is a range of values of $s$ and $t$ for which the differential cross section for the process $\gamma b \to a c$ or $a c \to \gamma b$ in which the helicities of the photon and particle $a$ have specific values, is equal to the differential cross section for the process in which one of these two helicities is reversed (parallel-antiparallel spin correlation).

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