Abstract
We calculate the pion’s valence-quark momentum-fraction probability distribution using a Dyson-Schwinger equation model. Valence quarks with an active mass of 0.30 GeV carry 71% of the pion’s momentum at a resolving scale The shape of the calculated distribution is characteristic of a strongly bound system and, evolved from to it yields first, second, and third moments in agreement with lattice and phenomenological estimates, and valence-quarks carrying 49% of the pion’s momentum. However, pointwise there is a discrepancy between our calculated distribution and that hitherto inferred from parametrizations of extant pion-nucleon Drell-Yan data.
- Received 24 August 2000
DOI:https://doi.org/10.1103/PhysRevC.63.025213
©2001 American Physical Society