Pion Boer–Mulders function using a contact interaction
Abstract A symmetry preserving treatment of a vector $$\otimes $$ ⊗ vector contact interaction (SCI) is used as the basis for calculations of the two pion transverse momentum dependent parton distribution functions (TMDs); namely, that for unpolarised valence degrees-of-freedom and the analogous B...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13782-1 |
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| _version_ | 1832571358617272320 |
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| author | Dan-Dan Cheng Zhu-Fang Cui Minghui Ding Craig D. Roberts Sebastian M. Schmidt |
| author_facet | Dan-Dan Cheng Zhu-Fang Cui Minghui Ding Craig D. Roberts Sebastian M. Schmidt |
| author_sort | Dan-Dan Cheng |
| collection | DOAJ |
| description | Abstract A symmetry preserving treatment of a vector $$\otimes $$ ⊗ vector contact interaction (SCI) is used as the basis for calculations of the two pion transverse momentum dependent parton distribution functions (TMDs); namely, that for unpolarised valence degrees-of-freedom and the analogous Boer–Mulders (BM) function. Amongst other things, the analysis enables the following themes to be addressed: the quark current mass dependence of pion TMDs; the impact of the gauge link model on the positivity constraint that bounds the BM function relative to the unpolarised TMD; the equivalence of direct diagrammatic and light-front wave function TMD calculations; and the size of the BM shift. Interpreted astutely, these SCI results enable one to draw insightful pictures of pion TMDs. |
| format | Article |
| id | doaj-art-1c7987f0573849af81ba6a925e672603 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-1c7987f0573849af81ba6a925e6726032025-02-02T12:38:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111410.1140/epjc/s10052-025-13782-1Pion Boer–Mulders function using a contact interactionDan-Dan Cheng0Zhu-Fang Cui1Minghui Ding2Craig D. Roberts3Sebastian M. Schmidt4School of Physics, Nanjing UniversitySchool of Physics, Nanjing UniversitySchool of Physics, Nanjing UniversitySchool of Physics, Nanjing UniversityHelmholtz-Zentrum Dresden-RossendorfAbstract A symmetry preserving treatment of a vector $$\otimes $$ ⊗ vector contact interaction (SCI) is used as the basis for calculations of the two pion transverse momentum dependent parton distribution functions (TMDs); namely, that for unpolarised valence degrees-of-freedom and the analogous Boer–Mulders (BM) function. Amongst other things, the analysis enables the following themes to be addressed: the quark current mass dependence of pion TMDs; the impact of the gauge link model on the positivity constraint that bounds the BM function relative to the unpolarised TMD; the equivalence of direct diagrammatic and light-front wave function TMD calculations; and the size of the BM shift. Interpreted astutely, these SCI results enable one to draw insightful pictures of pion TMDs.https://doi.org/10.1140/epjc/s10052-025-13782-1 |
| spellingShingle | Dan-Dan Cheng Zhu-Fang Cui Minghui Ding Craig D. Roberts Sebastian M. Schmidt Pion Boer–Mulders function using a contact interaction European Physical Journal C: Particles and Fields |
| title | Pion Boer–Mulders function using a contact interaction |
| title_full | Pion Boer–Mulders function using a contact interaction |
| title_fullStr | Pion Boer–Mulders function using a contact interaction |
| title_full_unstemmed | Pion Boer–Mulders function using a contact interaction |
| title_short | Pion Boer–Mulders function using a contact interaction |
| title_sort | pion boer mulders function using a contact interaction |
| url | https://doi.org/10.1140/epjc/s10052-025-13782-1 |
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