Equation-of-motion and Lorentz-invariance relations for tensor-polarized parton distribution functions of spin-1 hadrons

Abstract

Structure functions of polarized spin-1 hadrons will be measured at various accelerator facilities in the near future. Recently, transverse-momentum-dependent and collinear parton distribution functions were theoretically proposed at twist 3 and twist 4 in addition to the twist-2 ones, so that full investigations became possible for structure functions of spin-1 hadrons in the same level with those of the spin-1/2 nucleons. Furthermore, twist-3 tensor-polarized multiparton distribution functions were also recently found for spin-1 hadrons. In this work, we show relations among the collinear parton- and multiparton-distribution functions for spin-1 hadrons by using equation of motion for quarks. These relations are valuable in constraining the distribution functions and learning about multiparton correlations in spin-1 hadrons.

5 pages

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Cited by in corpus (7)

• Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^{+}{e}^{-}$ annihilation
• Parton distribution functions and fragmentation functions of spin-1 hadrons
• Semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target
• Medium effects on the electromagnetic form factors of the $\rho$ meson
• Tensor-polarized twist-3 parton distribution functions $f_{LT}(x)$ for the spin-1 deuteron by using twist-2 relations
• Novel relations for twist-3 tensor-polarized fragmentation functions in spin-1 hadrons
• Twist-3 contribution in the Drell-Yan process with tensor-polarized deuteron