Gluon fragmentation into polarized charmonium

Abstract

Gluon fragmentation to $\chicJ(1P)$ followed by single photon emission represents the dominant source of prompt $J/\Psi$'s at the Tevatron for $p_\perp \gtap 6 \GeV$. Since fragmenting gluons are approximately transverse, their products are significantly polarized. We find that gluon fragmentation populates the helicity levels of $\chione$, $\chitwo$ and $J/\Psi$ according to $D_{\chione^{(h=0)}}: D_{\chione^{(|h|=1)}} \simeq 1:1$, $D_{\chitwo^{(h=0)}} : D_{\chitwo^{(|h|=1)}} : D_{\chitwo^{(|h|=2)}} \simeq 1:2.9:6.0$ and $D_{\J^{(h=0)}} : D_{\J^{(|h|=1)}} \simeq 1:3.4$. We also speculate that gluon fragmentation to the radially excited $\chitwo(2P)$ state followed by subsequent radiative decay could represent a large source of ${\psi }^{\prime }(2S)$'s and potentially resolve the ${\psi }^{\prime }$ deficit problem. A measurement of these states' polarizations would test this idea.

11 pages with 1 uuencoded figure, CALT-68-1943, FERMILAB-PUB-94/256-T

References in corpus (9)

• Gluon Fragmentation into Heavy Quarkonium
• Z^0 Decay into Charmonium via Charm Quark Fragmentation
• Fragmentation production of J/psi and psi' at the Tevatron
• J/psi Production via Fragmentation at the Tevatron
• Gluon Fragmentation into P-wave Heavy Quarkonium
• Fragmentation contribution to quarkonium production in hadron collision
• Calculating Fragmentation Functions from Definitions
• Heavy Quark Fragmentation to Polarised Quarkonium
• Spin Alignment in the Production of Vector Mesons with Charm and/or Beauty via Heavy Quark Fragmentation

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• Production and polarization of Upsilon mesons in the k_T-factorization approach in more detail
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• Next-to-leading-order QCD corrections to heavy quark fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
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• Polarized J/psi production from B mesons at the Tevatron
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