Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-dependent fragmentation functions of Gluon splitting into heavy
  quarkonia considering three different scenarios   Heavy quarkonium production is a powerful implement to study the strong
interaction dynamics and QCD theory. Fragmentation is the dominant production
mechanism for heavy quarkonia with large transverse momentum. With the large
heavy quark mass, the relative motion of the heavy quark pair inside a heavy
quarkonium is effectively nonrelativistic and it is also well-known that their
fragmentation functions can be calculated in the perturbative QCD framework.
Here, we analytically calculate the process-independent fragmentation functions
for a gluon to split into the spin-singlet and -triplet $S$-wave heavy
quarkonia using three different scenarios. We will show that the fragmentation
probability of the gluon into the spin-triplet bound-state is the biggest one.

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The categories of this paper are: math
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga