Λ/Λ̄ Longitudinal Spin Transfer from Asymmetric Nucleon s/s̄ Distribution

Du, Xi; Chi, Yujie; Ma, Bo-Qiang

doi:10.1142/s2010194516600260

Cited by 3 publications

(1 citation statement)

References 25 publications

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“…This observation is suggested to be explained by a naively time-reversal-odd (T-odd) FF D ⊥ 1T (z, k 2 T ) and several parametrizations have been proposed by fitting the Belle data [35][36][37]. The polarized FFs to Λ also provide opportunities to study nucleon spin structures via the spin transfer in SIDIS process [38][39][40][41][42][43] with particular sensitivity to the spin of strange quarks. Extending to vector mesons, such as ρ and K * , there are five additional spin states, referred to as rank-2 tensor polarization [44][45][46][47], from the decomposition of the spin density matrix.…”

Section: Introductionmentioning

confidence: 99%

Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^+e^-$ annihilation

Zhao,

Zhang,

Liang

et al. 2022

Preprint

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We investigate the inclusive and semi-inclusive productions of spin-3/2 hadrons, such as Ω, 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 by integrating over quark transverse momentum, and only two TMD FFs with rank-3 tensor polarization have nonvanishing collinear counter parts. 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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Section: Introductionmentioning

confidence: 99%

Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^+e^-$ annihilation

Zhao,

Zhang,

Liang

et al. 2022

Preprint

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Inclusive and semi-inclusive production of spin- 3/2 hadrons in e+e− annihilation

et al. 2022

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Semi-inclusive production of spin- 3/2 hadrons in deep inelastic scattering

Zhao,

Zhang,

Liang

et al. 2024

Phys. Rev. D

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We investigate the production of spin-3/2 hadrons in semi-inclusive deep inelastic lepton-nucleon scatterings. The complete differential cross section is derived through the kinematic analysis and expressed in terms of 288 structure functions, corresponding to all polarization configurations and azimuthal modulations. For an unpolarized lepton beam, half of the 192 structure functions have nonzero leading order contributions in the parton model, among which 42 are from rank-3 tensor polarized fragmentation functions of the hadron. For a polarized lepton beam, one third of the 96 structure functions contribute at the leading order and 14 of them are from rank-3 tensor polarized fragmentation functions. In addition to the formalism, we perform a model estimation of the spin transfer to a ShLLL polarized hadron and sizable asymmetry is expected. Therefore, these newly defined observables for the production of a spin-3/2 hadron in a deep inelastic scattering process can be explored in future experiments to understand nucleon spin structures and spin-dependent fragmentation functions. Published by the American Physical Society 2024

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Λ/Λ̄ Longitudinal Spin Transfer from Asymmetric Nucleon s/s̄ Distribution

Cited by 3 publications

References 25 publications

Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^+e^-$ annihilation

Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^+e^-$ annihilation

Inclusive and semi-inclusive production of spin- 3/2 hadrons in e+e− annihilation

Semi-inclusive production of spin- 3/2 hadrons in deep inelastic scattering

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