Determination of location of the spin quantization axis of the vector meson-resonance $V$ via the cross sections of the reactions $A+B\Longrightarrow V+X\Longrightarrow 1+2+X$

5 Sept 2023, 18:50
20m
Blokhintsev auditorium, 4th floor (BLTP JINR)

Blokhintsev auditorium, 4th floor

BLTP JINR

Speaker

Machavariani, Alexander (LHEP JINR)

Description

The general formula that represents location of the
spin quantization axis of the meson-resonance $V$ in the inclusive reaction
$A+B\Longrightarrow V+X\Longrightarrow 1+2+X$ is suggested.
This formula determine the location of the spin
quantization axis of the particles 1,2 and $V$
via the cross sections of the subreactions $A+B\Longrightarrow V+X$ and $V\to 1+2$.

For this aim is used the relativistic field theoretical approach, where
the amplitude of the reaction $A+B\Longrightarrow 1+2+X$ is
expressed as a product of the amplitudes of the subreactions
$A+B\Longrightarrow V+X$ and $V\to 1+2$.
It is shown that the special cases of the suggested formulation were used
in the 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.

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