Abstract. We investigate the unpolarized pion and kaon fragmentation functions using the nonlocal chiral-quark model. In this model the interactions between the quarks and pseudoscalar mesons is manifested nonlocally. In addition, the explicit flavor SU(3) symmetry breaking effect is taken into account in terms of the current quark masses. The results of our model are evaluated to higher Q 2 value Q 2 = 4 GeV 2 by the DGLAP evolution. Then we compare them with the empirical parametrizations. We find that our results are in relatively good agreement with the empirical parametrizations and the other theoretical estimations.
We derived the conditions on certain combinations of integrals of the fragmentation functions of pion using HERMES data for the sum of the charged pion multiplicities from semi-inclusive deepinelastic scattering (SIDIS) off the deuteron target. We have chosen several FFs to study the ratios of the strange PDFs S (x) and the nonstrange PDFs Q(x, Q 2 ) extracted from the charged pion and kaon multiplicities. We conclude that, in the LO QCD analysis and with the D π,K Q,S (Q 2 ) of the FFs chosen in our study, there is inconsistency between S (x, Q 2 )/Q(x, Q 2 ) derived from the pion and kaon multiplicity data.Finally, we demonstrate that the HERMES pion multiplicity data are unlikely to be compatible with two widely-used PDFs, namely CTEQ6L and leading order NNPDF3.0.
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