Gluon Fragmentation into $^3P_J$ Quarkonium

Details Gluon Fragmentation into $^3P_J$ Quarkonium Gluon Fragmentation into $^3P_J$ Quarkonium

1995-03-16

arxiv.org/abs/hep-ph/9503346v2

Nucl.Phys. B447 (1995) 405-424

Physics

High Energy Physics

High Energy Physics - Phenomenology

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Scientific paper

10.1016/0550-3213(95)00270-3

The functions of the gluon fragmentation into $^3P_J$ quarkonium are calculated to order $\alpha_s^2$. With the recent progress in analysing quarkonium systems in QCD we show explicitly how the socalled divergence in the limit of the zero-binding energy, which is related to $P$-wave quarkonia, is treated correctly in the case of fragmentation functions. The obtained fragmentation functions satisfy explicitly at the order of $\alpha_s^2$ the Altarelli-Parisi equation and when $z\rightarrow 0$ they behave as $z^{-1}$ as expected. Some comments on the previous results are made.

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