Inclusive and semiinclusive production of spin3/2 hadrons in $e^+e^$ annihilation
Abstract
We investigate the inclusive and semiinclusive productions of spin3/2 hadrons, such as $\Omega$, in unpolarized $e^+ e^$ annihilation. The general differential cross sections are expressed in terms of structure functions in accordance to the polarization of the hadron and the azimuthal modulations. We derive a complete definition of quark transverse momentum dependent (TMD) fragmentation functions (FFs) to spin3/2 hadrons for the first time from the decomposition of the quarkquark correlation matrix at leading twist, 14 of which are newly defined corresponding to rank3 tensor polarized hadron. The collinear FFs are obtained by integrating over quark transverse momentum, and only two TMD FFs with rank3 tensor polarization have nonvanishing collinear counter parts. Then we perform a leading order calculation of the unpolarized differential cross sections. In the singlehadron inclusive production, only two structure functions are found nonzero and none of the rank3 tensor polarized FFs contributes. For the nearly backtoback twohadron production, half of the 48 structure functions are found nonzero even if the spin of the second hadron is not analyzed, and ten of the rank3 tensor polarized TMD FFs contribute. Therefore, one can study the rank3 tensor polarized FFs via the production of a spin3/2 hadron and an unpolarized hadron in unpolarized $e^+ e^$ collision experiments. These newly defined FFs can be further applied in semiinclusive deep inelastic scattering processes for the study of nucleon structures.
 Publication:

arXiv eprints
 Pub Date:
 June 2022
 arXiv:
 arXiv:2206.11742
 Bibcode:
 2022arXiv220611742Z
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 41 pages, 4 figures