Nucleon structure functions from the NJL-model chiral soliton
. We present numerical simulations for unpolarized and polarized structure functions in a chiral soliton model. The soliton is constructed self-consistently from quark fields from which the structure functions are extracted. Central to the project is regularizing the Dirac sea (or vacuum) contributi...
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| Veröffentlicht in: | The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2019-08, Vol.55 (8), p.1-20, Article 128 |
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| container_title | The European physical journal. A, Hadrons and nuclei |
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| creator | Takyi, I. Weigel, H. |
| description | .
We present numerical simulations for unpolarized and polarized structure functions in a chiral soliton model. The soliton is constructed self-consistently from quark fields from which the structure functions are extracted. Central to the project is regularizing the Dirac sea (or vacuum) contribution to structure functions directly from the regularized action functional that defines the model. In turn, the structure functions are obtained from matrix elements of symmetry currents without assumptions on the nature of quark bilocal and bilinear operators. We discuss in detail how sum rules are realized at the level of the quark wave-functions in momentum space. The comparison with experimental data is convincing for the polarized structure functions but exhibits some discrepancies in the unpolarized case. The vacuum contribution to the polarized structure functions is particularly small. |
| doi_str_mv | 10.1140/epja/i2019-12806-3 |
| format | Article |
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We present numerical simulations for unpolarized and polarized structure functions in a chiral soliton model. The soliton is constructed self-consistently from quark fields from which the structure functions are extracted. Central to the project is regularizing the Dirac sea (or vacuum) contribution to structure functions directly from the regularized action functional that defines the model. In turn, the structure functions are obtained from matrix elements of symmetry currents without assumptions on the nature of quark bilocal and bilinear operators. We discuss in detail how sum rules are realized at the level of the quark wave-functions in momentum space. The comparison with experimental data is convincing for the polarized structure functions but exhibits some discrepancies in the unpolarized case. The vacuum contribution to the polarized structure functions is particularly small.</description><identifier>ISSN: 1434-6001</identifier><identifier>EISSN: 1434-601X</identifier><identifier>DOI: 10.1140/epja/i2019-12806-3</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Computer simulation ; Functionals ; Hadrons ; Heavy Ions ; Mathematical analysis ; Mathematical models ; Matrix methods ; Nuclear Fusion ; Nuclear Physics ; Operators (mathematics) ; Particle and Nuclear Physics ; Physics ; Physics and Astronomy ; Quarks ; Regular Article - Theoretical Physics ; Solitary waves ; Sum rules</subject><ispartof>The European physical journal. A, Hadrons and nuclei, 2019-08, Vol.55 (8), p.1-20, Article 128</ispartof><rights>Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-9b114a3a7276c7cce652e70c4b2c15cd235eba40973f9220b41797aab2d3890f3</citedby><cites>FETCH-LOGICAL-c319t-9b114a3a7276c7cce652e70c4b2c15cd235eba40973f9220b41797aab2d3890f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epja/i2019-12806-3$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1140/epja/i2019-12806-3$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Takyi, I.</creatorcontrib><creatorcontrib>Weigel, H.</creatorcontrib><title>Nucleon structure functions from the NJL-model chiral soliton</title><title>The European physical journal. A, Hadrons and nuclei</title><addtitle>Eur. Phys. J. A</addtitle><description>.
We present numerical simulations for unpolarized and polarized structure functions in a chiral soliton model. The soliton is constructed self-consistently from quark fields from which the structure functions are extracted. Central to the project is regularizing the Dirac sea (or vacuum) contribution to structure functions directly from the regularized action functional that defines the model. In turn, the structure functions are obtained from matrix elements of symmetry currents without assumptions on the nature of quark bilocal and bilinear operators. We discuss in detail how sum rules are realized at the level of the quark wave-functions in momentum space. The comparison with experimental data is convincing for the polarized structure functions but exhibits some discrepancies in the unpolarized case. The vacuum contribution to the polarized structure functions is particularly small.</description><subject>Computer simulation</subject><subject>Functionals</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Matrix methods</subject><subject>Nuclear Fusion</subject><subject>Nuclear Physics</subject><subject>Operators (mathematics)</subject><subject>Particle and Nuclear Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quarks</subject><subject>Regular Article - Theoretical Physics</subject><subject>Solitary waves</subject><subject>Sum rules</subject><issn>1434-6001</issn><issn>1434-601X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQhi0EEqXwB5gsMZve2Y5dDwyo4lNVWUBisxzXoanSuNjJwL8nbRFsTHfD-7x3egi5RLhGlDAJ27Wb1BzQMORTUEwckRFKIZkCfD_-3QFPyVnOawCQ3KgRuVn0vgmxpblLve_6FGjVt76rY5tpleKGdqtAF89ztonL0FC_qpNraI5N3cX2nJxUrsnh4meOydv93evskc1fHp5mt3PmBZqOmXJ40gmnuVZeex9UwYMGL0vusfBLLopQOglGi8pwDqVEbbRzJV-KqYFKjMnVoXeb4mcfcmfXsU_tcNJyrhELpcR0SPFDyqeYcwqV3aZ649KXRbA7TXanye412b0mKwZIHKA8hNuPkP6q_6G-AbXubBE</recordid><startdate>20190801</startdate><enddate>20190801</enddate><creator>Takyi, I.</creator><creator>Weigel, H.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190801</creationdate><title>Nucleon structure functions from the NJL-model chiral soliton</title><author>Takyi, I. ; Weigel, H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-9b114a3a7276c7cce652e70c4b2c15cd235eba40973f9220b41797aab2d3890f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Computer simulation</topic><topic>Functionals</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Matrix methods</topic><topic>Nuclear Fusion</topic><topic>Nuclear Physics</topic><topic>Operators (mathematics)</topic><topic>Particle and Nuclear Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quarks</topic><topic>Regular Article - Theoretical Physics</topic><topic>Solitary waves</topic><topic>Sum rules</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Takyi, I.</creatorcontrib><creatorcontrib>Weigel, H.</creatorcontrib><collection>CrossRef</collection><jtitle>The European physical journal. A, Hadrons and nuclei</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Takyi, I.</au><au>Weigel, H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nucleon structure functions from the NJL-model chiral soliton</atitle><jtitle>The European physical journal. A, Hadrons and nuclei</jtitle><stitle>Eur. Phys. J. A</stitle><date>2019-08-01</date><risdate>2019</risdate><volume>55</volume><issue>8</issue><spage>1</spage><epage>20</epage><pages>1-20</pages><artnum>128</artnum><issn>1434-6001</issn><eissn>1434-601X</eissn><abstract>.
We present numerical simulations for unpolarized and polarized structure functions in a chiral soliton model. The soliton is constructed self-consistently from quark fields from which the structure functions are extracted. Central to the project is regularizing the Dirac sea (or vacuum) contribution to structure functions directly from the regularized action functional that defines the model. In turn, the structure functions are obtained from matrix elements of symmetry currents without assumptions on the nature of quark bilocal and bilinear operators. We discuss in detail how sum rules are realized at the level of the quark wave-functions in momentum space. The comparison with experimental data is convincing for the polarized structure functions but exhibits some discrepancies in the unpolarized case. The vacuum contribution to the polarized structure functions is particularly small.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epja/i2019-12806-3</doi><tpages>20</tpages></addata></record> |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Computer simulation Functionals Hadrons Heavy Ions Mathematical analysis Mathematical models Matrix methods Nuclear Fusion Nuclear Physics Operators (mathematics) Particle and Nuclear Physics Physics Physics and Astronomy Quarks Regular Article - Theoretical Physics Solitary waves Sum rules |
| title | Nucleon structure functions from the NJL-model chiral soliton |
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