Year: 2001
Type: article
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 ${q}_{0}=0.54 \mathrm{GeV}=1/(0.37 \mathrm{fm}).$ The shape of the calculated distribution is characteristic of a strongly bound system and, evolved from ${q}_{0}$ to $q=2 \mathrm{GeV},$ 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.
Source: Physical Review C
Authors: M. B. Hecht, C. D. Roberts, S. M. Schmidt
Institution: Argonne National Laboratory
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: U.S. Department of Energy
OpenAlex ID: W1967476857