Pion Boer–Mulders function using a contact interaction
A symmetry preserving treatment of a vector ⊗ 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) funct...
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| Published in | The European physical journal. C, Particles and fields Vol. 85; no. 1; pp. 115 - 14 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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| Abstract | A symmetry preserving treatment of a vector
⊗
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. |
|---|---|
| AbstractList | A symmetry preserving treatment of a vector
⊗
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. 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. A symmetry preserving treatment of a vector ⊗ 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. 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. |
| ArticleNumber | 115 |
| Author | Cheng, Dan-Dan Ding, Minghui Roberts, Craig D. Schmidt, Sebastian M. Cui, Zhu-Fang |
| Author_xml | – sequence: 1 givenname: Dan-Dan orcidid: 0009-0009-6466-4483 surname: Cheng fullname: Cheng, Dan-Dan organization: School of Physics, Nanjing University, Institute for Nonperturbative Physics, Nanjing University – sequence: 2 givenname: Zhu-Fang orcidid: 0000-0003-3890-0242 surname: Cui fullname: Cui, Zhu-Fang email: phycui@nju.edu.cn organization: School of Physics, Nanjing University, Institute for Nonperturbative Physics, Nanjing University – sequence: 3 givenname: Minghui orcidid: 0000-0002-3690-1690 surname: Ding fullname: Ding, Minghui organization: School of Physics, Nanjing University, Institute for Nonperturbative Physics, Nanjing University, Helmholtz-Zentrum Dresden-Rossendorf – sequence: 4 givenname: Craig D. orcidid: 0000-0002-2937-1361 surname: Roberts fullname: Roberts, Craig D. email: cdroberts@nju.edu.cn organization: School of Physics, Nanjing University, Institute for Nonperturbative Physics, Nanjing University – sequence: 5 givenname: Sebastian M. orcidid: 0000-0002-8947-1532 surname: Schmidt fullname: Schmidt, Sebastian M. organization: Helmholtz-Zentrum Dresden-Rossendorf, Technische Universiät Dresden |
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| Snippet | A symmetry preserving treatment of a vector
⊗
vector contact interaction (SCI) is used as the basis for calculations of the two pion transverse momentum... A symmetry preserving treatment of a vector $$\otimes $$ ⊗ vector contact interaction (SCI) is used as the basis for calculations of the two pion transverse... A symmetry preserving treatment of a vector ⊗ vector contact interaction (SCI) is used as the basis for calculations of the two pion transverse momentum... Abstract A symmetry preserving treatment of a vector $$\otimes $$ ⊗ vector contact interaction (SCI) is used as the basis for calculations of the two pion... |
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| SubjectTerms | Astronomy Astrophysics and Cosmology Distribution functions Elementary Particles Hadrons Heavy Ions Impact analysis Light Mathematical analysis Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Partons Physics Physics and Astronomy Pions Quantum Field Theories Quantum Field Theory Quarks Regular Article - Theoretical Physics String Theory Transverse momentum Wave functions |
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| Title | Pion Boer–Mulders function using a contact interaction |
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