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Structure functions of the nucleon in a soliton model
Thesis (PhD)--Stellenbosch University, 2019.
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| Format: | Thesis |
| Language: | en_ZA |
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Stellenbosch : Stellenbosch University
2019
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| _version_ | 1867613858592456704 |
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| access_status_str | Open Access |
| author | Takyi, Ishmael |
| author2 | Weigel, Herbert |
| author_browse | Takyi, Ishmael Weigel, Herbert |
| author_facet | Weigel, Herbert Takyi, Ishmael |
| author_sort | Takyi, Ishmael |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (PhD)--Stellenbosch University, 2019. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/106075 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:42:49.487Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2019 |
| publishDateRange | 2019 |
| publishDateSort | 2019 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/106075 Structure functions of the nucleon in a soliton model Takyi, Ishmael Weigel, Herbert Scholtz, Frederik G. Stellenbosch University. Faculty of Science. Dept. of Physics. Deep inelastic scattering Structure functions Chiral solitons Vacuum polarization Particles (Nuclear physics) UCTD Thesis (PhD)--Stellenbosch University, 2019. ENGLISH ABSTRACT : We study nucleon structure functions (both polarized and unpolarized functions) within the Nambu-Jona-Lasinio (NJL) model, in which the nucleons emerge as solitons. In particular we investigate the polarized vacuum contribution to the nucleon structure functions. Rather than copying the quark distribution interpretation from QCD, we start from a fully regularized action functional to establish an intrinsically consistent formulation of the structure functions. For that matter we will employ the Pauli-Villars subtraction scheme to incorporate the vacuum polarization effects within the bosonized NJL model. Using Cutkosky’s rules the structure functions are extracted from the imaginary part of the Compton tensor. The structure functions are then evaluated numerically which includes a perturbative DGLAP evolution calculation before comparing our results with empirical data. AFRIKAANSE OPSOMMING : Ons bestudeer kern struktuurfunksies (beide gepolariseerd en ongepolariseerd) binne die NambuJona-Lasinio (NJL) model, waarin die nukleone as soliton oplossings verskyn. In besonder ondersoek ons die gepolariseerde vakuumbydra tot die nukleon struktuurfunksies. Eerder as om die kwark-verdeling interpretasie van KCD te gebruik, begin ons vanaf ’n volledig geregulariseerde aksiefunksionaal om ’n intern konsekwente formulering van die struktuurfunksies te vestig. Hiervoor sal ons die Pauli-Villars-aftrekskema gebruik om die vakuumpolarisasie-effekte binne die gebosoniseerde NJL-model in te sluit. Met behulp van Cutkosky se reëls word die struktuurfunksies uit die imaginêre deel van die Compton tensor verkry. Die struktuurfunksies word dan numeries geëvalueer, wat ’n steuringsteoretiese implementasie van ’n DGLAP evolusie berekening insluit voordat ons resultate met empiriese data vergelyk word. Doctoral 2019-02-18T11:55:26Z 2019-04-17T08:27:15Z 2019-02-18T11:55:26Z 2019-04-17T08:27:15Z 2019-04 Thesis http://hdl.handle.net/10019.1/106075 en_ZA Stellenbosch University xv, 151 : illustrations application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Deep inelastic scattering Structure functions Chiral solitons Vacuum polarization Particles (Nuclear physics) UCTD Takyi, Ishmael Structure functions of the nucleon in a soliton model |
| title | Structure functions of the nucleon in a soliton model |
| title_full | Structure functions of the nucleon in a soliton model |
| title_fullStr | Structure functions of the nucleon in a soliton model |
| title_full_unstemmed | Structure functions of the nucleon in a soliton model |
| title_short | Structure functions of the nucleon in a soliton model |
| title_sort | structure functions of the nucleon in a soliton model |
| topic | Deep inelastic scattering Structure functions Chiral solitons Vacuum polarization Particles (Nuclear physics) UCTD |
| url | http://hdl.handle.net/10019.1/106075 |
| work_keys_str_mv | AT takyiishmael structurefunctionsofthenucleoninasolitonmodel |