Abstract
We establish a connection between the distribution functions of quarks in spin-one hadrons and the helicity matrix for forward scattering of antiquarks off spin-one hadrons. From positivity of this matrix we obtain inequality relations among the distribution functions. Analogous relations hold also for fragmentation functions. The bounds we obtained can be used to constrain estimates of unknown functions, occurring in particular in semi-inclusive deep inelastic scattering or e+ e- annihilation with vector mesons in the final state.
Highlights
In recent years some attention has been given to distribution functions characterizing spin-one targets, starting from the work of Hoodbhoy, Jaffe and Manohar [1]
A systematic study was accomplished by Ji [8], who singled out two new fragmentation functions, the functionb1, in analogy to the distribution function b1, and the time-reversal odd (T-odd) functionh1
We studied the leading-order part of the correlation functions for parton distribution inside spin-one targets or parton fragmentation into spin-one hadrons
Summary
In recent years some attention has been given to distribution functions characterizing spin-one targets, starting from the work of Hoodbhoy, Jaffe and Manohar [1]. With regards to the second issue, we point out that for 1-particle inclusive leptoproduction of a spin-one meson, at leading (zeroth) order in 1/Q there are five chiral-odd fragmentation functions that can be observed in combination with the quark transversity distribution function [13], the measurement of which is at present attracting the attention of experiments such as HERMES, COMPASS and RHIC. In this situation, it seems to be extremely useful to gather as much information as possible about spin-one distribution and fragmentation functions. As a first step in this direction, we present here positivity bounds on them, following what has been done in Ref. [14] for the spin-half case
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