Abstract
In the fragmentation of a transversely polarized quark a left-right asymmetry, the Collins asymmetry, is expected for each hadron produced in the process [Formula: see text]. Similarly, an asymmetry is also expected for the hadron pair, the dihadron asymmetry. Both asymmetries have been measured to be different from zero on transversely polarised proton targets and have allowed for first extractions of the transversity distributions. From the high statistics COMPASS data we have further investigated these asymmetries getting strong indications that the two mechanisms are driven by a common physical process.
Highlights
In the fragmentation of a transversely polarized quark a left-right asymmetry, the Collins asymmetry, is expected for each hadron produced in the process μN → μ h+h−X
It is well known that the description of the partonic structure of the nucleon at leading twist requires the knowledge of three parton distribution functions (PDFs), the number, helicity and transversity PDFs
In the x-Bjorken region where the Collins asymmetry is different from zero and sizable (x > 0.032) the positive and negative hadron asymmetries exhibit a mirror symmetry and the dihadron asymmetry is very close to the Collins asymmetry for positive hadrons
Summary
In the fragmentation of a transversely polarized quark a left-right asymmetry, the Collins asymmetry, is expected for each hadron produced in the process μN → μ h+h−X. COMPASS has provided experimental evidence of a close relationship between the Collins and the dihadron asymmetries, hinting at a common physical origin of the two fragmentation functions,[8, 9] a conclusion supported by calculations with a specific Monte Carlo model.[10] That work has been continued and new results are here presented for the first time.
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