Analysis of the Pion Wave Function in Light-Cone Formalism
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Several general constraints are suggested to analyze the pionic valence-state wave function. It is found that the present model wave functions used in light-cone formalism of perturbative quantum chromodynamics have failed these requirements to fit the pionic form factor data and the reasonable valence-state structure function which does not exceed the pionic structure function data for $x \rightarrow 1$ simultaneously. Furthermore, it is pointed out that there is a possibility to find model wave functions which can satisfy all of general constraints. Also we show that there are two higher helicity $(\lambda_{1} + \lambda_{2} =\pm1)$ components in the light-cone wave function for the pion as a natural consequence from the Melosh rotation and it is speculated that these components should be incorporated into the perturbative quantum chromodynamics.
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Forward citations
Cited by 2 Pith papers
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An effective dressed light-front mass operator for quarks is constructed from a lattice-inspired propagator and applied to compute pion TMDs, PDFs, and distribution amplitudes.
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Light-cone sum rules yield radiative decay widths for ground-state vector mesons that match data where available and exhibit a universal linear dependence on a function A(x) in log coordinates arising from decay-const...
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