Spin alignment measurements of the $K^{*0}(892)$ and $\phi(1020)$ vector mesons at RHIC

TL;DR

This study measures the spin alignment of $K^{*0}$ and $\,phi$ mesons at RHIC, finding results consistent with no polarization, thus constraining models of angular momentum transfer in heavy-ion collisions.

Contribution

First measurements of spin alignment for $K^{*0}$ and $\phi$ mesons at RHIC, providing new data on their polarization in heavy-ion collisions.

Findings

Spin density matrix elements are consistent with unpolarized expectation of 1/3.

No significant transverse momentum or centrality dependence observed.

Results constrain polarization effects in vector meson production.

Abstract

We present the first spin alignment measurements for the $K^{*0}(892)$ and $\phi(1020)$ vector mesons produced at mid-rapidity with transverse momenta up to 5 GeV/c at $\sqrt{s_{NN}}$ = 200 GeV at RHIC. The diagonal spin density matrix elements with respect to the reaction plane in Au+Au collisions are $\rho_{00}$ = 0.32 $\pm$ 0.04 (stat) $\pm$ 0.09 (syst) for the $K^{*0}$ ($0.8<p_T<5.0$ GeV/c) and $\rho_{00}$ = 0.34 $\pm$ 0.02 (stat) $\pm$ 0.03 (syst) for the $\phi$ ($0.4<p_T<5.0$ GeV/c), and are constant with transverse momentum and collision centrality. The data are consistent with the unpolarized expectation of 1/3 and thus no evidence is found for the transfer of the orbital angular momentum of the colliding system to the vector meson spins. Spin alignments for $K^{*0}$ and $\phi$ in Au+Au collisions were also measured with respect to the particle's production plane. The $\phi$ result, $\rho_{00}$ = 0.41 $\pm$ 0.02 (stat) $\pm$ 0.04 (syst), is consistent with that in p+p collisions, $\rho_{00}$ = 0.39 $\pm$ 0.03 (stat) $\pm$ 0.06 (syst), also measured in this work. The measurements thus constrain the possible size of polarization phenomena in the production dynamics of vector mesons.