期刊
PHYSICAL REVIEW D
卷 106, 期 9, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.106.094006
关键词
-
资金
- National Natural Science Foundation of China
- Shandong Province Natural Science Foundation
- [12175117]
- [11890713]
- [11890700]
- [ZR2020MA098]
We investigate the inclusive and semi-inclusive productions of spin-3/2 hadrons in unpolarized e+e- annihilation. The differential cross sections are expressed in terms of structure functions and we derive a complete definition of quark transverse momentum dependent (TMD) fragmentation functions (FFs) to spin-3/2 hadrons. We perform a leading order calculation of the unpolarized differential cross sections and find that only two structure functions are nonzero for single-hadron production, while half of the 48 structure functions are nonzero for nearly back-to-back two-hadron production.
We investigate the inclusive and semi-inclusive productions of spin-3=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 spin-3=2 hadrons for the first time from the decomposition of the quark-quark correlation matrix at leading twist, 14 of which are newly defined corresponding to rank-3 tensor polarized hadron. The collinear FFs are obtained from the kT-integrated correlation matrix, and only two TMD FFs with rank-3 tensor polarization have nonvanishing collinear counterparts. Then we perform a leading order calculation of the unpolarized differential cross sections. In the single-hadron inclusive production, only two structure functions are found nonzero and none of the rank-3 tensor polarized FFs contributes. For the nearly back-to-back two-hadron 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 rank-3 tensor polarized TMD FFs contribute. Therefore, one can study the rank-3 tensor polarized FFs via the production of a spin-3=2 hadron and an unpolarized hadron in unpolarized e+e- collision experiments. These newly defined FFs can be further applied in semi-inclusive deep inelastic scattering processes for the study of nucleon structures.
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