Abstract
Generalized transverse momentum dependent parton distributions (GTMDs), as mother funtions of transverse momentum dependent parton distributions (TMDs) and generalized parton distributions (GPDs), encode the most general parton structure of hadrons. We calculate four twist-two time reversal odd GTMDs of pion in a scalar spectator model. We study the dependence of GTMDs on the longitudinal momentum fraction x carried by the active quark and the transverse momentum |vec k_T| for different values of skewness xi defined as the longitudinal momentum transferred to the pion as well as the total momentum |vec Delta _T| transferred to the pion. In addition, the quasi-TMDs and quasi-GPDs of pion have also been investigated in this paper.
Highlights
Dinal and transverse motion of partons inside a hadron can be studied by the description of various hard semi-inclusive reactions
We find that when Pz > 3 GeV, the quasi-generalized parton distributions (GPDs) H1,Q(3)(x, ξ, 2 T
We have present the results for four time-reversal odd (T-odd) generalized transverse momentum dependent parton distributions (GTMDs)
Summary
PDFs are related to parton fields in QCD, it is difficult to calculate them directly in QCD since they are nonperturbative quantities. PDFs are usually defined on the light cone, which poses a problem for the standard Euclidean formulation, and in lattice QCD calculation only moments of distributions in x can be accessed as matrix elements of local operators [12,13]. To overcome these issues, the proposed large-momentum effective theory (LaMET) of Ji has been presented [14]. In this paper, being inspired by the previous works for quasi-distribution model calculations [61,62,63], we will probe the T-odd GTMDs, quasi-TMDs and the quasi-GPDs of the pion applying a scalar spectator model.
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