Basic features of the pion valence-quark distribution function
The impulse-approximation expression used hitherto to define the pion's valence-quark distribution function is flawed because it omits contributions from the gluons which bind quarks into the pion. A corrected leading-order expression produces the model-independent result that quarks dressed vi...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2014-10-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269314005760 |
| _version_ | 1818544696602918912 |
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| author | Lei Chang Cédric Mezrag Hervé Moutarde Craig D. Roberts Jose Rodríguez-Quintero Peter C. Tandy |
| author_facet | Lei Chang Cédric Mezrag Hervé Moutarde Craig D. Roberts Jose Rodríguez-Quintero Peter C. Tandy |
| author_sort | Lei Chang |
| collection | DOAJ |
| description | The impulse-approximation expression used hitherto to define the pion's valence-quark distribution function is flawed because it omits contributions from the gluons which bind quarks into the pion. A corrected leading-order expression produces the model-independent result that quarks dressed via the rainbow–ladder truncation, or any practical analogue, carry all the pion's light-front momentum at a characteristic hadronic scale. Corrections to the leading contribution may be divided into two classes, responsible for shifting dressed-quark momentum into glue and sea-quarks. Working with available empirical information, we use an algebraic model to express the principal impact of both classes of corrections. This enables a realistic comparison with experiment that allows us to highlight the basic features of the pion's measurable valence-quark distribution, qπ(x); namely, at a characteristic hadronic scale, qπ(x)∼(1−x)2 for x≳0.85; and the valence-quarks carry approximately two-thirds of the pion's light-front momentum. |
| first_indexed | 2024-12-11T22:51:48Z |
| format | Article |
| id | doaj.art-7332b667fec24725b3338f48736d6abd |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-11T22:51:48Z |
| publishDate | 2014-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-7332b667fec24725b3338f48736d6abd2022-12-22T00:47:24ZengElsevierPhysics Letters B0370-26931873-24452014-10-01737C232910.1016/j.physletb.2014.08.009Basic features of the pion valence-quark distribution functionLei Chang0Cédric Mezrag1Hervé Moutarde2Craig D. Roberts3Jose Rodríguez-Quintero4Peter C. Tandy5CSSM, School of Chemistry and Physics, University of Adelaide, Adelaide, SA 5005, AustraliaCentre de Saclay, IRFU/Service de Physique Nucléaire, F-91191 Gif-sur-Yvette, FranceCentre de Saclay, IRFU/Service de Physique Nucléaire, F-91191 Gif-sur-Yvette, FrancePhysics Division, Argonne National Laboratory, Argonne, IL 60439, USADepartamento de Física Aplicada, Facultad de Ciencias Experimentales, Universidad de Huelva, Huelva E-21071, SpainCenter for Nuclear Research, Department of Physics, Kent State University, Kent, OH 44242, USAThe impulse-approximation expression used hitherto to define the pion's valence-quark distribution function is flawed because it omits contributions from the gluons which bind quarks into the pion. A corrected leading-order expression produces the model-independent result that quarks dressed via the rainbow–ladder truncation, or any practical analogue, carry all the pion's light-front momentum at a characteristic hadronic scale. Corrections to the leading contribution may be divided into two classes, responsible for shifting dressed-quark momentum into glue and sea-quarks. Working with available empirical information, we use an algebraic model to express the principal impact of both classes of corrections. This enables a realistic comparison with experiment that allows us to highlight the basic features of the pion's measurable valence-quark distribution, qπ(x); namely, at a characteristic hadronic scale, qπ(x)∼(1−x)2 for x≳0.85; and the valence-quarks carry approximately two-thirds of the pion's light-front momentum.http://www.sciencedirect.com/science/article/pii/S0370269314005760Deep inelastic scatteringDrell–Yan processDynamical chiral symmetry breakingDyson–Schwinger equationsπ-mesonParton distribution functions |
| spellingShingle | Lei Chang Cédric Mezrag Hervé Moutarde Craig D. Roberts Jose Rodríguez-Quintero Peter C. Tandy Basic features of the pion valence-quark distribution function Physics Letters B Deep inelastic scattering Drell–Yan process Dynamical chiral symmetry breaking Dyson–Schwinger equations π-meson Parton distribution functions |
| title | Basic features of the pion valence-quark distribution function |
| title_full | Basic features of the pion valence-quark distribution function |
| title_fullStr | Basic features of the pion valence-quark distribution function |
| title_full_unstemmed | Basic features of the pion valence-quark distribution function |
| title_short | Basic features of the pion valence-quark distribution function |
| title_sort | basic features of the pion valence quark distribution function |
| topic | Deep inelastic scattering Drell–Yan process Dynamical chiral symmetry breaking Dyson–Schwinger equations π-meson Parton distribution functions |
| url | http://www.sciencedirect.com/science/article/pii/S0370269314005760 |
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