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Gluon fragmentation to χ cJ (1 P ) followed by single photon emission represents the dominant source of prompt J /ψ’s at the Fermilab Tevatron for p ⊥ ≳6 GeV. Since fragmenting gluons are approximately transverse, their products are significantly polarized. We find that gluon fragmentation populates the helicity levels of χ c 1 , χ c 2 , and J /ψ according to D χ c 1 ( h = 0 ) : D χ c 1 ( ‖ h ‖ = 1 ) ≃1:1, D χ c 2 ( h = 0 ) : D χ c 2 ( ‖ h ‖ = 1 ) : D χ c 2 ( ‖ h ‖ = 2 ) ≃1:2.8:6.0, and D J / ψ ( h = 0 ) : D J / ψ ( ‖ h ‖ = 1 ) ≃1:3.4. We also speculate that gluon fragmentation to the radially excited χ c 2 (2 P ) state followed by radiative decay could represent a large source of ψ ’ (2 S )’s. A measurement of these states’ polarizations would test this idea.
Physical Review D – American Physical Society (APS)
Published: Mar 1, 1995
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