Abstract
We calculate the polarization of prompt $\varUpsilon$($n$S) production in the improved color evaporation model at leading order employing the $k_T$-factorization approach. We present the polarization parameter $\lambda_\vartheta$ of prompt $\varUpsilon$($n$S) as a function of transverse momentum in $p+p$ and $p+\bar{p}$ collisions to compare with data in the helicity, Collins-Soper and Gottfried-Jackson frames. We also present calculations of the bottomonium production cross sections as a function of transverse momentum and rapidity. This is the first $p_T$-dependent calculation of bottomonium production and polarization in the improved color evaporation model. We find agreement with both bottomonium cross sections and polarization measurements.
Highlights
This paper is a continuation of our previous work [1] on quarkonium production and polarization in the improved color evaporation model using the kT-factorization approach
This paper is a continuation of that work where we extend our pT-dependent leading order (LO) ICEM calculation of quarkonium production and polarization in the kT-factorization approach to prompt ΥðnSÞ
We employ the scattering amplitudes calculated in Ref. [1] to compute the bbpartonic production cross section σ J;Jz according to the JP of each directly produced bottomonium state below the BBthreshold
Summary
This paper is a continuation of our previous work [1] on quarkonium production and polarization in the improved color evaporation model using the kT-factorization approach. We first developed our LO calculation of quarkonium polarization in the ICEM [2] in Refs. We performed the first pT-dependent polarization calculation in the ICEM [1] for prompt J=ψ production and polarization by employing the kT-factorization approach. This paper is a continuation of that work where we extend our pT-dependent leading order (LO) ICEM calculation of quarkonium production and polarization in the kT-factorization approach to prompt ΥðnSÞ. It assumed that no distinction is made between the spin states in the CEM
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