Schematic SO(4) model for the description of hadrons
An algebraic model is proposed which simulates the strong interaction between quarks, for the description of hadron states. The model is based on the SO(4)-group. The effects of the long-range quark-quark interactions, like zero-color confined states, symmetries and energy dependence, required for a...
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| Veröffentlicht in: | Journal of physics. G, Nuclear and particle physics Nuclear and particle physics, 2021-08, Vol.48 (8), p.85013, Article 085013 |
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| container_title | Journal of physics. G, Nuclear and particle physics |
| container_volume | 48 |
| creator | Ramirez-Soto, U I Rico-Trejo, O A Yépez-Martínez, T Hess, P O Weber, A Civitarese, O |
| description | An algebraic model is proposed which simulates the strong interaction between quarks, for the description of hadron states. The model is based on the SO(4)-group. The effects of the long-range quark-quark interactions, like zero-color confined states, symmetries and energy dependence, required for a correct description of hadrons at low energy, are considered through the assignment of SO(4)-quantum numbers to the hadron states. A simpler version of this model was used earlier to illustrate the relevance of many-body methods implemented for pseudo-scalar and vector meson-like states, particularly the low energy portion of the pion spectrum. In this work an algebraic Hamiltonian is proposed, its spectrum is calculated for several meson quantum numbers J(P) = 0(+/-), 1(+/-), 2(+/-), as well as baryon quantum numbers J(P) = 1/2(+/-), 3/2(+/-), 5/2(+/-), 7/2(+/-) and compared to data. Our purpose is to investigate how adequate is this model when applied to the description of several characteristics of the hadron spectrum, like the observed masses, density of states and sequences of spin and parity. |
| doi_str_mv | 10.1088/1361-6471/ac0cc9 |
| format | Article |
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The model is based on the SO(4)-group. The effects of the long-range quark-quark interactions, like zero-color confined states, symmetries and energy dependence, required for a correct description of hadrons at low energy, are considered through the assignment of SO(4)-quantum numbers to the hadron states. A simpler version of this model was used earlier to illustrate the relevance of many-body methods implemented for pseudo-scalar and vector meson-like states, particularly the low energy portion of the pion spectrum. In this work an algebraic Hamiltonian is proposed, its spectrum is calculated for several meson quantum numbers J(P) = 0(+/-), 1(+/-), 2(+/-), as well as baryon quantum numbers J(P) = 1/2(+/-), 3/2(+/-), 5/2(+/-), 7/2(+/-) and compared to data. Our purpose is to investigate how adequate is this model when applied to the description of several characteristics of the hadron spectrum, like the observed masses, density of states and sequences of spin and parity.</description><identifier>ISSN: 0954-3899</identifier><identifier>EISSN: 1361-6471</identifier><identifier>DOI: 10.1088/1361-6471/ac0cc9</identifier><identifier>CODEN: JPGPED</identifier><language>eng</language><publisher>BRISTOL: IOP Publishing</publisher><subject>baryon spectra ; coulomb plus linear interactions ; meson spectra ; Physical Sciences ; Physics ; Physics, Nuclear ; Physics, Particles & Fields ; QCD Hamiltonian ; Science & Technology</subject><ispartof>Journal of physics. 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G, Nuclear and particle physics</title><addtitle>JPhysG</addtitle><addtitle>J PHYS G NUCL PARTIC</addtitle><addtitle>J. Phys. G: Nucl. Part. Phys</addtitle><description>An algebraic model is proposed which simulates the strong interaction between quarks, for the description of hadron states. The model is based on the SO(4)-group. The effects of the long-range quark-quark interactions, like zero-color confined states, symmetries and energy dependence, required for a correct description of hadrons at low energy, are considered through the assignment of SO(4)-quantum numbers to the hadron states. A simpler version of this model was used earlier to illustrate the relevance of many-body methods implemented for pseudo-scalar and vector meson-like states, particularly the low energy portion of the pion spectrum. In this work an algebraic Hamiltonian is proposed, its spectrum is calculated for several meson quantum numbers J(P) = 0(+/-), 1(+/-), 2(+/-), as well as baryon quantum numbers J(P) = 1/2(+/-), 3/2(+/-), 5/2(+/-), 7/2(+/-) and compared to data. Our purpose is to investigate how adequate is this model when applied to the description of several characteristics of the hadron spectrum, like the observed masses, density of states and sequences of spin and parity.</description><subject>baryon spectra</subject><subject>coulomb plus linear interactions</subject><subject>meson spectra</subject><subject>Physical Sciences</subject><subject>Physics</subject><subject>Physics, Nuclear</subject><subject>Physics, Particles & Fields</subject><subject>QCD Hamiltonian</subject><subject>Science & Technology</subject><issn>0954-3899</issn><issn>1361-6471</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>HGBXW</sourceid><recordid>eNqNkM1LwzAYh4MoOKd3j7kIitYlzUfToxS_YLDD9BzSfNiOrSlJh_jfm1LZScRTkpff8-N9AsAlRvcYCbHAhOOM0wIvlEZal0dgdhgdgxkqGc2IKMtTcBbjBiHEKKEzQNe6sTs1tBquV9f0Bu68sVvofIBDY6GxUYe2H1rfQe9go0zwXTwHJ05to734Oefg_enxrXrJlqvn1-phmWmC0ZBRxhkxeW6EQAgbUxjDuC1oqXKNWcGUEQXL07tWnNaOM8NzZVVBFXGsNoTMAZp6dfAxButkH9qdCl8SIzlay1FRjopysk6ImJBPW3sXdWs7bQ9Y0uYFIYKwdEO4agc1qlV-3w0Jvf0_mtJ3U7r1vdz4fejST_y119Uv8Q9JhRQSCZYaZW8c-Qb7t4R_</recordid><startdate>20210801</startdate><enddate>20210801</enddate><creator>Ramirez-Soto, U I</creator><creator>Rico-Trejo, O A</creator><creator>Yépez-Martínez, T</creator><creator>Hess, P O</creator><creator>Weber, A</creator><creator>Civitarese, O</creator><general>IOP Publishing</general><general>IOP Publishing Ltd</general><scope>BLEPL</scope><scope>DTL</scope><scope>HGBXW</scope><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-5447-850X</orcidid><orcidid>https://orcid.org/0000-0002-2194-7549</orcidid></search><sort><creationdate>20210801</creationdate><title>Schematic SO(4) model for the description of hadrons</title><author>Ramirez-Soto, U I ; Rico-Trejo, O A ; Yépez-Martínez, T ; Hess, P O ; Weber, A ; Civitarese, O</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c310t-45653d22d88001dd7dd56e749a2c1575ad8752749ba64bf65d62aea74a3f5bd33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>baryon spectra</topic><topic>coulomb plus linear interactions</topic><topic>meson spectra</topic><topic>Physical Sciences</topic><topic>Physics</topic><topic>Physics, Nuclear</topic><topic>Physics, Particles & Fields</topic><topic>QCD Hamiltonian</topic><topic>Science & Technology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ramirez-Soto, U I</creatorcontrib><creatorcontrib>Rico-Trejo, O A</creatorcontrib><creatorcontrib>Yépez-Martínez, T</creatorcontrib><creatorcontrib>Hess, P O</creatorcontrib><creatorcontrib>Weber, A</creatorcontrib><creatorcontrib>Civitarese, O</creatorcontrib><collection>Web of Science Core Collection</collection><collection>Science Citation Index Expanded</collection><collection>Web of Science - Science Citation Index Expanded - 2021</collection><collection>CrossRef</collection><jtitle>Journal of physics. G, Nuclear and particle physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ramirez-Soto, U I</au><au>Rico-Trejo, O A</au><au>Yépez-Martínez, T</au><au>Hess, P O</au><au>Weber, A</au><au>Civitarese, O</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Schematic SO(4) model for the description of hadrons</atitle><jtitle>Journal of physics. G, Nuclear and particle physics</jtitle><stitle>JPhysG</stitle><stitle>J PHYS G NUCL PARTIC</stitle><addtitle>J. Phys. G: Nucl. Part. Phys</addtitle><date>2021-08-01</date><risdate>2021</risdate><volume>48</volume><issue>8</issue><spage>85013</spage><pages>85013-</pages><artnum>085013</artnum><issn>0954-3899</issn><eissn>1361-6471</eissn><coden>JPGPED</coden><abstract>An algebraic model is proposed which simulates the strong interaction between quarks, for the description of hadron states. The model is based on the SO(4)-group. The effects of the long-range quark-quark interactions, like zero-color confined states, symmetries and energy dependence, required for a correct description of hadrons at low energy, are considered through the assignment of SO(4)-quantum numbers to the hadron states. A simpler version of this model was used earlier to illustrate the relevance of many-body methods implemented for pseudo-scalar and vector meson-like states, particularly the low energy portion of the pion spectrum. In this work an algebraic Hamiltonian is proposed, its spectrum is calculated for several meson quantum numbers J(P) = 0(+/-), 1(+/-), 2(+/-), as well as baryon quantum numbers J(P) = 1/2(+/-), 3/2(+/-), 5/2(+/-), 7/2(+/-) and compared to data. Our purpose is to investigate how adequate is this model when applied to the description of several characteristics of the hadron spectrum, like the observed masses, density of states and sequences of spin and parity.</abstract><cop>BRISTOL</cop><pub>IOP Publishing</pub><doi>10.1088/1361-6471/ac0cc9</doi><tpages>27</tpages><orcidid>https://orcid.org/0000-0001-5447-850X</orcidid><orcidid>https://orcid.org/0000-0002-2194-7549</orcidid></addata></record> |
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| ispartof | Journal of physics. G, Nuclear and particle physics, 2021-08, Vol.48 (8), p.85013, Article 085013 |
| issn | 0954-3899 1361-6471 |
| language | eng |
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| source | Institute of Physics Journals; Web of Science - Science Citation Index Expanded - 2021<img src="https://exlibris-pub.s3.amazonaws.com/fromwos-v2.jpg" />; Alma/SFX Local Collection |
| subjects | baryon spectra coulomb plus linear interactions meson spectra Physical Sciences Physics Physics, Nuclear Physics, Particles & Fields QCD Hamiltonian Science & Technology |
| title | Schematic SO(4) model for the description of hadrons |
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