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The fact that analyses of semi-inclusive deep inelastic scattering suggest that the polarized strange quark density $\Delta s(x) + \Delta \bar{s}(x)$ is positive in the measured region of Bjorken x, whereas all analyses of inclusive deep inelastic scattering yield significantly negative values of this quantity, is known as the "strange quark polarization puzzle".
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Note that the AAC group (see 2nd Ref. in [ 2 ] and references therein) has used a very peculiar parametrization for the strange quark density in their pure inclusive DIS analyses which, in principle permits the change of the sign, but one of the parameters responsible for the sign change is fixed by hand
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Note that this property of the polarized strange quark density holds also if for the nonsinglet axial charge a 8 a_{8} in Eq. ( 3
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