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Kaon thresholds and two-flavor chiral expansions for hyperons
Two-flavor chiral expansions provide a useful perturbative framework to study hadron properties. Such expansions should exhibit marked improvement over the conventional three-flavor chiral expansion. Although one can theoretically formulate two-flavor theories for the various hyperon multiplets, the...
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Published in: | Physics letters. B 2011-01, Vol.695 (1-4), p.329-336 |
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creator | Jiang, F.-J. Tiburzi, B.C. Walker-Loud, A. |
description | Two-flavor chiral expansions provide a useful perturbative framework to study hadron properties. Such expansions should exhibit marked improvement over the conventional three-flavor chiral expansion. Although one can theoretically formulate two-flavor theories for the various hyperon multiplets, the nearness of kaon thresholds can seriously undermine the effectiveness of the perturbative expansion in practice. We investigate the importance of virtual kaon thresholds on hyperon properties, specifically their masses and isovector axial charges. Using a three-flavor expansion that includes SU(3) breaking effects, we uncover the underlying expansion parameter governing the description of virtual kaon thresholds. For spin-half hyperons, this expansion parameter is quite small. Consequently virtual kaon contributions are well described in the two-flavor theory by terms analytic in the pion mass-squared. For spin three-half hyperons, however, one is closer to the kaon production threshold, and the expansion parameter is not as small. Breakdown of SU(2) chiral perturbation theory is shown to arise from a pole in the expansion parameter associated with the kaon threshold. Estimating higher-order corrections to the expansion parameter is necessary to ascertain whether the two-flavor theory of spin three-half hyperons remains perturbative. We find that, despite higher-order corrections, there is a useful perturbative expansion for the masses and isovector axial charges of both spin-half and spin three-half hyperons. |
doi_str_mv | 10.1016/j.physletb.2010.11.003 |
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Such expansions should exhibit marked improvement over the conventional three-flavor chiral expansion. Although one can theoretically formulate two-flavor theories for the various hyperon multiplets, the nearness of kaon thresholds can seriously undermine the effectiveness of the perturbative expansion in practice. We investigate the importance of virtual kaon thresholds on hyperon properties, specifically their masses and isovector axial charges. Using a three-flavor expansion that includes SU(3) breaking effects, we uncover the underlying expansion parameter governing the description of virtual kaon thresholds. For spin-half hyperons, this expansion parameter is quite small. Consequently virtual kaon contributions are well described in the two-flavor theory by terms analytic in the pion mass-squared. For spin three-half hyperons, however, one is closer to the kaon production threshold, and the expansion parameter is not as small. Breakdown of SU(2) chiral perturbation theory is shown to arise from a pole in the expansion parameter associated with the kaon threshold. Estimating higher-order corrections to the expansion parameter is necessary to ascertain whether the two-flavor theory of spin three-half hyperons remains perturbative. We find that, despite higher-order corrections, there is a useful perturbative expansion for the masses and isovector axial charges of both spin-half and spin three-half hyperons.</description><identifier>ISSN: 0370-2693</identifier><identifier>EISSN: 1873-2445</identifier><identifier>DOI: 10.1016/j.physletb.2010.11.003</identifier><identifier>CODEN: PYLBAJ</identifier><language>eng</language><publisher>Kidlington: Elsevier B.V</publisher><subject>[formula omitted] symmetry breaking ; BREAKDOWN ; Chiral perturbation theory ; Elementary particles ; Exact sciences and technology ; HADRONS ; HYPERONS ; ISOVECTORS ; Kaon production ; KAONS ; Mathematical analysis ; MULTIPLETS ; Nuclear physics ; PERTURBATION THEORY ; Physics ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; PIONS ; Poles ; PRODUCTION ; SPIN ; The physics of elementary particles and fields ; Thresholds</subject><ispartof>Physics letters. B, 2011-01, Vol.695 (1-4), p.329-336</ispartof><rights>2010 Elsevier B.V.</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c449t-25fc02020912c5b070836884db4afe2147f51be8afe7f9fa1f04c4d0692dd2a93</citedby><cites>FETCH-LOGICAL-c449t-25fc02020912c5b070836884db4afe2147f51be8afe7f9fa1f04c4d0692dd2a93</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0370269310012773$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>230,314,776,780,881,3536,27901,27902,45756</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23830301$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/servlets/purl/1003859$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Jiang, F.-J.</creatorcontrib><creatorcontrib>Tiburzi, B.C.</creatorcontrib><creatorcontrib>Walker-Loud, A.</creatorcontrib><creatorcontrib>Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)</creatorcontrib><title>Kaon thresholds and two-flavor chiral expansions for hyperons</title><title>Physics letters. B</title><description>Two-flavor chiral expansions provide a useful perturbative framework to study hadron properties. Such expansions should exhibit marked improvement over the conventional three-flavor chiral expansion. Although one can theoretically formulate two-flavor theories for the various hyperon multiplets, the nearness of kaon thresholds can seriously undermine the effectiveness of the perturbative expansion in practice. We investigate the importance of virtual kaon thresholds on hyperon properties, specifically their masses and isovector axial charges. Using a three-flavor expansion that includes SU(3) breaking effects, we uncover the underlying expansion parameter governing the description of virtual kaon thresholds. For spin-half hyperons, this expansion parameter is quite small. Consequently virtual kaon contributions are well described in the two-flavor theory by terms analytic in the pion mass-squared. For spin three-half hyperons, however, one is closer to the kaon production threshold, and the expansion parameter is not as small. Breakdown of SU(2) chiral perturbation theory is shown to arise from a pole in the expansion parameter associated with the kaon threshold. Estimating higher-order corrections to the expansion parameter is necessary to ascertain whether the two-flavor theory of spin three-half hyperons remains perturbative. We find that, despite higher-order corrections, there is a useful perturbative expansion for the masses and isovector axial charges of both spin-half and spin three-half hyperons.</description><subject>[formula omitted] symmetry breaking</subject><subject>BREAKDOWN</subject><subject>Chiral perturbation theory</subject><subject>Elementary particles</subject><subject>Exact sciences and technology</subject><subject>HADRONS</subject><subject>HYPERONS</subject><subject>ISOVECTORS</subject><subject>Kaon production</subject><subject>KAONS</subject><subject>Mathematical analysis</subject><subject>MULTIPLETS</subject><subject>Nuclear physics</subject><subject>PERTURBATION THEORY</subject><subject>Physics</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>PIONS</subject><subject>Poles</subject><subject>PRODUCTION</subject><subject>SPIN</subject><subject>The physics of elementary particles and fields</subject><subject>Thresholds</subject><issn>0370-2693</issn><issn>1873-2445</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFkE2LFDEQhoMoOK7-BWkE8dRj5as7fRCURd3FBS96Dpl0hc7Qm7Sp3nXn35tmVq9Sh6KKp-qtehl7zWHPgXfvj_tlOtGM62EvYGvyPYB8wnbc9LIVSumnbAeyh1Z0g3zOXhAdAYBr6HbswzeXU7NOBWnK80iNS2Oz_s5tmN19Lo2fYnFzgw-LSxRzoibU7nRasNTiJXsW3Ez46jFfsJ9fPv-4vGpvvn-9vvx003qlhrUVOngQNQYuvD5AD0Z2xqjxoFxAwVUfND-gqUUfhuB4AOXVCN0gxlG4QV6wN-e9mdZoyccV_eRzSuhXy-u3Rm_QuzO0lPzrDmm1t5E8zrNLmO_IGq17AKO7SnZn0pdMVDDYpcRbV051l908tUf711O7eWo5t1WlDr59lHDk3RyKSz7Sv2khjQQJvHIfzxxWU-4jlu1mTB7HWLaTxxz_J_UH3-WPyA</recordid><startdate>20110110</startdate><enddate>20110110</enddate><creator>Jiang, F.-J.</creator><creator>Tiburzi, B.C.</creator><creator>Walker-Loud, A.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>OIOZB</scope><scope>OTOTI</scope></search><sort><creationdate>20110110</creationdate><title>Kaon thresholds and two-flavor chiral expansions for hyperons</title><author>Jiang, F.-J. ; Tiburzi, B.C. ; Walker-Loud, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c449t-25fc02020912c5b070836884db4afe2147f51be8afe7f9fa1f04c4d0692dd2a93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>[formula omitted] symmetry breaking</topic><topic>BREAKDOWN</topic><topic>Chiral perturbation theory</topic><topic>Elementary particles</topic><topic>Exact sciences and technology</topic><topic>HADRONS</topic><topic>HYPERONS</topic><topic>ISOVECTORS</topic><topic>Kaon production</topic><topic>KAONS</topic><topic>Mathematical analysis</topic><topic>MULTIPLETS</topic><topic>Nuclear physics</topic><topic>PERTURBATION THEORY</topic><topic>Physics</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>PIONS</topic><topic>Poles</topic><topic>PRODUCTION</topic><topic>SPIN</topic><topic>The physics of elementary particles and fields</topic><topic>Thresholds</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jiang, F.-J.</creatorcontrib><creatorcontrib>Tiburzi, B.C.</creatorcontrib><creatorcontrib>Walker-Loud, A.</creatorcontrib><creatorcontrib>Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV - Hybrid</collection><collection>OSTI.GOV</collection><jtitle>Physics letters. B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jiang, F.-J.</au><au>Tiburzi, B.C.</au><au>Walker-Loud, A.</au><aucorp>Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Kaon thresholds and two-flavor chiral expansions for hyperons</atitle><jtitle>Physics letters. B</jtitle><date>2011-01-10</date><risdate>2011</risdate><volume>695</volume><issue>1-4</issue><spage>329</spage><epage>336</epage><pages>329-336</pages><issn>0370-2693</issn><eissn>1873-2445</eissn><coden>PYLBAJ</coden><abstract>Two-flavor chiral expansions provide a useful perturbative framework to study hadron properties. Such expansions should exhibit marked improvement over the conventional three-flavor chiral expansion. Although one can theoretically formulate two-flavor theories for the various hyperon multiplets, the nearness of kaon thresholds can seriously undermine the effectiveness of the perturbative expansion in practice. We investigate the importance of virtual kaon thresholds on hyperon properties, specifically their masses and isovector axial charges. Using a three-flavor expansion that includes SU(3) breaking effects, we uncover the underlying expansion parameter governing the description of virtual kaon thresholds. For spin-half hyperons, this expansion parameter is quite small. Consequently virtual kaon contributions are well described in the two-flavor theory by terms analytic in the pion mass-squared. For spin three-half hyperons, however, one is closer to the kaon production threshold, and the expansion parameter is not as small. Breakdown of SU(2) chiral perturbation theory is shown to arise from a pole in the expansion parameter associated with the kaon threshold. Estimating higher-order corrections to the expansion parameter is necessary to ascertain whether the two-flavor theory of spin three-half hyperons remains perturbative. We find that, despite higher-order corrections, there is a useful perturbative expansion for the masses and isovector axial charges of both spin-half and spin three-half hyperons.</abstract><cop>Kidlington</cop><pub>Elsevier B.V</pub><doi>10.1016/j.physletb.2010.11.003</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
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subjects | [formula omitted] symmetry breaking BREAKDOWN Chiral perturbation theory Elementary particles Exact sciences and technology HADRONS HYPERONS ISOVECTORS Kaon production KAONS Mathematical analysis MULTIPLETS Nuclear physics PERTURBATION THEORY Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS PIONS Poles PRODUCTION SPIN The physics of elementary particles and fields Thresholds |
title | Kaon thresholds and two-flavor chiral expansions for hyperons |
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