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The spin alignment of rho mesons in a pion gas
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abstract
We study the spin alignment of neutral rho mesons in a pion gas using spin kinetic or Boltzmann equations. The $\rho\pi\pi$ coupling is given by the chiral effective theory. The collision terms at the leading and next-to-leading order in spin Boltzmann equations are derived. The evolution of the spin density matrix of the neutral rho meson is simulated with different initial conditions. The numerical results show that the interaction of pions and neutral rho mesons creates very small spin alignment in the central rapidity region if there is no rho meson in the system at the initial time. Such a small spin alignment in the central rapidity region will decay rapidly toward zero in later time. If there are rho mesons with a sizable spin alignment at the initial time the spin alignment will also decrease rapidly. We also considered the effect on $\rho_{00}$ from the elliptic flow of pions in the blast wave model. With vanishing spin alignment at the initial time, the deviation of $\rho_{00}$ from 1/3 is positive but very small.
Forward citations
Cited by 4 Pith papers
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Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
Vector meson spin alignment at local equilibrium is shown to arise only at second order in thermodynamic gradients, with explicit analytic formulas for the contributing terms.
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Spin alignment of vector mesons in local equilibrium by Zubarev's approach
The spin alignment rho00-1/3 vanishes at first order in gradients in local equilibrium, with nonzero contributions first appearing at second order, in a pseudo-gauge dependent way.
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Transverse and longitudinal spin alignment from color fields in heavy ion collisions
Spin alignment of phi mesons along the beam direction is predicted to exceed 1/3 for glasma fields and to show a sign-changing rapidity pattern for isotropic QGP color fields, offering a discriminating observable.
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Polarization of the $\phi$ meson in the hadronic phase with nucleon scatterings and a viscous hydrodynamic background
Kaon and nucleon rescattering plus viscous corrections in a Fluidum hydrodynamic background yield phi spin alignment consistent with zero, in disagreement with STAR data.
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