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- W3036280983 abstract "We present a calculation of valence double parton distributions of the pion in the framework of chiral quark models. The result obtained at the low-energy quark model scale is particularly simple, where in the chiral limit a factorized form follows, $D(x_1,x_2, vec{q}) = delta(1-x_1-x_2) F(vec{q})$ with $x_{1,2}$ standing for the longitudinal momentum fractions of the valence quark and antiquark, and $vec{q}$ denotes the relative transverse momentum. For $vec{q}=vec{0}$ the result satisfies the Gaunt-Sterling sum rules. The QCD evolution to higher scales is carried out within the dDGLAP framework. We argue that the ratios of the valence Mellin moments $langle x_1^n x_2^m rangle / langle x_1^n rangle langle x_2^m rangle $, which do not depend on the dDGLAP evolution, provide particularly convenient measures of the longitudinal correlations between the partons. Such ratios could be probed in future lattice QCD simulations." @default.
- W3036280983 created "2020-06-25" @default.
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- W3036280983 date "2020-06-17" @default.
- W3036280983 modified "2023-09-27" @default.
- W3036280983 title "Double parton distributions of the pion" @default.
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