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Pion Boer-Mulders function using a contact interaction
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abstract
A symmetry preserving treatment of a vector $\otimes$ vector contact interaction (SCI) is used as the basis for calculations of the two pion transverse momentum dependent parton distribution functions (TMDs); namely, that for unpolarised valence degrees-of-freedom and the analogous Boer-Mulders (BM) function. Amongst other things, the analysis enables the following themes to be addressed: the quark current mass dependence of pion TMDs; the impact of the gauge link model on the positivity constraint that bounds the BM function relative to the unpolarised TMD; the equivalence of direct diagrammatic and light-front wave function TMD calculations; and the size of the BM shift. Interpreted astutely, these SCI results enable one to draw insightful pictures of pion TMDs.
Forward citations
Cited by 2 Pith papers
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New insights from the flavor dependence of quark transverse momentum distributions in the pion
First flavor-dependent extraction of unpolarized quark TMDs in the pion, finding a wider transverse momentum tail for valence d quarks than for sea quarks, with large uncertainties.
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Off-shell modifications of the pion generalized parton distributions and transverse momentum dependent parton distributions
In the NJL model, off-shell pion GPDs and TMDs differ from on-shell ones by 15 to 25 percent and acquire new odd-power form factors from broken crossing symmetry.
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