Speaker
Dr
Valery Lyuboshitz
(Joint Institute for Nuclear Research ( Dubna ))
Description
The process of emission of two identical particles with
nonzero spin $S$ and different helicities is theoretically
investigated within the model of one-particle multipole
sources. Taking into account the unitarity of the finite
rotation matrix and symmetry relations for $d$--functions,
the general expression for probability of emission of
two identical particles by two multipole sources with
angular momentum $J$, averaged over the projections
of angular momentum and over the space-time dimensions of
the generation region, has been obtained. For the case of
unpolarized particles, the additional averaging over helicities
is performed and the general formula for two-particle
correlation function at sufficiently large 4-momentum
difference $q$ is derived .
The special cases of emission of two unpolarized photons
by dipole and quadrupole sources, and emission of two "left"
neutrinos ( "right" antineutrinos ) by sources with arbitrary $J$
have been also considered, and the respective explicit
expressions for the correlation function are obtained .
Author
Dr
Valery Lyuboshitz
(Joint Institute for Nuclear Research ( Dubna ))
Co-author
Dr
Vladimir Lyuboshitz
(Joint Institute for Nuclear Research, Dubna)