Pion generalized parton distributions within a fully covariant constituent quark model
We extend the investigation of the generalized parton distribution for a charged pion within a fully covariant constituent quark model, in two respects: (1) calculating the tensor distribution and (2) adding the treatment of the evolution, needed for achieving a meaningful comparison with both the e...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2017
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| Online Access: | http://hdl.handle.net/1721.1/107394 https://orcid.org/0000-0002-1985-1329 |
| _version_ | 1826210453664038912 |
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| author | Fanelli, Cristiano Pace, Emanuele Romanelli, Giovanni Salmè, Giovanni Salmistraro, Marco |
| author2 | Massachusetts Institute of Technology. Laboratory for Nuclear Science |
| author_facet | Massachusetts Institute of Technology. Laboratory for Nuclear Science Fanelli, Cristiano Pace, Emanuele Romanelli, Giovanni Salmè, Giovanni Salmistraro, Marco |
| author_sort | Fanelli, Cristiano |
| collection | MIT |
| description | We extend the investigation of the generalized parton distribution for a charged pion within a fully covariant constituent quark model, in two respects: (1) calculating the tensor distribution and (2) adding the treatment of the evolution, needed for achieving a meaningful comparison with both the experimental parton distribution and the lattice evaluation of the so-called generalized form factors. Distinct features of our phenomenological covariant quark model are: (1) a 4D Ansatz for the pion Bethe–Salpeter amplitude, to be used in the Mandelstam formula for matrix elements of the relevant current operators, and (2) only two parameters, namely a quark mass assumed to be m[subscript q] = 220 MeV and a free parameter fixed through the value of the pion decay constant. The possibility of increasing the dynamical content of our covariant constituent quark model is briefly discussed in the context of the Nakanishi integral representation of the Bethe–Salpeter amplitude. |
| first_indexed | 2024-09-23T14:50:08Z |
| format | Article |
| id | mit-1721.1/107394 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:50:08Z |
| publishDate | 2017 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1073942022-09-29T10:52:51Z Pion generalized parton distributions within a fully covariant constituent quark model Fanelli, Cristiano Pace, Emanuele Romanelli, Giovanni Salmè, Giovanni Salmistraro, Marco Massachusetts Institute of Technology. Laboratory for Nuclear Science Fanelli, Cristiano We extend the investigation of the generalized parton distribution for a charged pion within a fully covariant constituent quark model, in two respects: (1) calculating the tensor distribution and (2) adding the treatment of the evolution, needed for achieving a meaningful comparison with both the experimental parton distribution and the lattice evaluation of the so-called generalized form factors. Distinct features of our phenomenological covariant quark model are: (1) a 4D Ansatz for the pion Bethe–Salpeter amplitude, to be used in the Mandelstam formula for matrix elements of the relevant current operators, and (2) only two parameters, namely a quark mass assumed to be m[subscript q] = 220 MeV and a free parameter fixed through the value of the pion decay constant. The possibility of increasing the dynamical content of our covariant constituent quark model is briefly discussed in the context of the Nakanishi integral representation of the Bethe–Salpeter amplitude. 2017-03-10T20:57:52Z 2017-03-10T20:57:52Z 2016-03 2017-02-02T15:20:34Z Article http://purl.org/eprint/type/JournalArticle 1434-6044 1434-6052 http://hdl.handle.net/1721.1/107394 Fanelli, Cristiano et al. “Pion Generalized Parton Distributions within a Fully Covariant Constituent Quark Model.” The European Physical Journal C 76.5 (2016): n. pag. https://orcid.org/0000-0002-1985-1329 en http://dx.doi.org/10.1140/epjc/s10052-016-4101-1 The European Physical Journal C Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Fanelli, Cristiano Pace, Emanuele Romanelli, Giovanni Salmè, Giovanni Salmistraro, Marco Pion generalized parton distributions within a fully covariant constituent quark model |
| title | Pion generalized parton distributions within a fully covariant constituent quark model |
| title_full | Pion generalized parton distributions within a fully covariant constituent quark model |
| title_fullStr | Pion generalized parton distributions within a fully covariant constituent quark model |
| title_full_unstemmed | Pion generalized parton distributions within a fully covariant constituent quark model |
| title_short | Pion generalized parton distributions within a fully covariant constituent quark model |
| title_sort | pion generalized parton distributions within a fully covariant constituent quark model |
| url | http://hdl.handle.net/1721.1/107394 https://orcid.org/0000-0002-1985-1329 |
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