Speaker
Description
Field-theoretical approach of the vector meson resonance production in reaction
$A+B\Longrightarrow V+X\Longrightarrow 1+2+X$ is applied to the
determination of location of the $V$-meson spin quantization axis.
In this approach amplitude of the reaction $A+B\Longrightarrow 1+2+X$ is
a product of the on shell and off shell amplitudes of
the subreactions $A+B\Longrightarrow V+X$ and $V\to 1+2$ correspondingly.
Off shell behavior of the $V$-meson decay amplitude
ensures separability of the amplitude $A+B\Longrightarrow 1+2+X$
and indicates the need to take into account the decay width of the $V$-meson resonance.
The 3D time-ordered relativistic field-theoretical equations are suggested
for the off shell $V$-meson decay amplitude $V\to 1+2$.
It is shown that the special cases of the considered formulation were used
in numerous high energy experiments in order to study of asymmetries
and alignment of the particles 1 and 2 in
reactions $A+B\Longrightarrow V+X\Longrightarrow 1+2+X$.
Special attention is given to the partial wave decomposition of the
relativistic amplitudes and cross section over the
the orbital moments and spin of the
intermediate $V$-meson and final particles 1 and 2. Equivalence of this
partial wave decomposition and Jacob-Wick decomposition is considered.
