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Quark spin correlation inside hyperons

Lucia Oliva, Qun Wang, Xin-Nian Wang

Abstract

The global spin polarization of hyperons in heavy-ion collisions have been investigated by including spin correlation effects among their constituent quarks. The available data on global spin polarizations of hyperons and spin alignments of vector mesons provide constraints on phase space functions of the spin polarization and correlation. These constraints can lead to inequalities under some approximations, which might provide possible clues for the presence of quark spin correlation inside hyperons at lower collision energies.

Quark spin correlation inside hyperons

Abstract

The global spin polarization of hyperons in heavy-ion collisions have been investigated by including spin correlation effects among their constituent quarks. The available data on global spin polarizations of hyperons and spin alignments of vector mesons provide constraints on phase space functions of the spin polarization and correlation. These constraints can lead to inequalities under some approximations, which might provide possible clues for the presence of quark spin correlation inside hyperons at lower collision energies.
Paper Structure (15 sections, 69 equations, 1 figure)

This paper contains 15 sections, 69 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Spin Wigner functions for vector mesons and baryons
  3. Spin density operators for one-particle, two-particle and three-particle systems
  4. Spin Wigner function for vector mesons and baryons
  5. Short- and long-range correlations
  6. Hadronization process as a quantum measurement
  7. Spin polarizations of vector mesons and baryons
  8. Inequalities for spin correlations
  9. Mean field approximation
  10. With only $s$ quark correlations inside hyperons
  11. Short- and long-range components of spin polarizations and correlations
  12. Spin polarizations of hyperons and spin alignment of $\phi$ meson
  13. Inequalities for quark spin correlations
  14. Estimates of quark spin correlations
  15. Summary and conclusion

Figures (1)

  • Figure 1: Estimate of two-quark transverse correlations $A_{T}$ (left panel) and the three-quark correlations $\delta^{\prime}$ (right panel) as a function of collision energy for $\eta=0.5,1,2$.