{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360021390572233472.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1103/physrevc.109.015203"}},{"identifier":{"@type":"URI","@value":"https://link.aps.org/article/10.1103/PhysRevC.109.015203"}},{"identifier":{"@type":"URI","@value":"http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevC.109.015203/fulltext"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Analysis of the \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi mathvariant=\"normal\">Ξ</mml:mi><mml:mo>(</mml:mo><mml:mn>1620</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>\n resonance and \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mover accent=\"true\"><mml:mi>K</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi mathvariant=\"normal\">Λ</mml:mi></mml:mrow></mml:math>\n scattering length with a chiral unitary approach"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>We study the <a:math xmlns:a=\"http://www.w3.org/1998/Math/MathML\"><a:mrow><a:mi mathvariant=\"normal\">Ξ</a:mi><a:mo>(</a:mo><a:mn>1620</a:mn><a:mo>)</a:mo></a:mrow></a:math> resonance near the <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\"><c:mrow><c:mover accent=\"true\"><c:mi>K</c:mi><c:mo>¯</c:mo></c:mover><c:mi mathvariant=\"normal\">Λ</c:mi></c:mrow></c:math> threshold in the light of recent experimental constraints. The Belle Collaboration have found a resonance peak of <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\"><f:mrow><f:mi mathvariant=\"normal\">Ξ</f:mi><f:mo>(</f:mo><f:mn>1620</f:mn><f:mo>)</f:mo></f:mrow></f:math> slightly below the <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\"><h:mrow><h:msup><h:mover accent=\"true\"><h:mi>K</h:mi><h:mo>¯</h:mo></h:mover><h:mn>0</h:mn></h:msup><h:mi mathvariant=\"normal\">Λ</h:mi></h:mrow></h:math> threshold in the <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\"><k:mrow><k:msup><k:mi>π</k:mi><k:mo>+</k:mo></k:msup><k:msup><k:mi mathvariant=\"normal\">Ξ</k:mi><k:mo>−</k:mo></k:msup></k:mrow></k:math> invariant mass spectrum, and the ALICE Collaboration have determined the <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"><m:mrow><m:msup><m:mi>K</m:mi><m:mo>−</m:mo></m:msup><m:mi mathvariant=\"normal\">Λ</m:mi></m:mrow></m:math> scattering length from the measurement of the momentum correlation functions in heavy ion collisions. Using the effective range expansion, we classify the nature of the pole of the near-threshold eigenstate in terms of the scattering length, in the presence of the decay channel. It is shown that the quasibound state below the threshold can be described by only the scattering length, while the description of the resonance above the threshold requires the contribution from the effective range. Based on the chiral unitary approach, we construct a theoretical model which generates the pole of <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\"><o:mrow><o:mi mathvariant=\"normal\">Ξ</o:mi><o:mo>(</o:mo><o:mn>1620</o:mn><o:mo>)</o:mo></o:mrow></o:math> below the <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\"><q:mrow><q:mover accent=\"true\"><q:mi>K</q:mi><q:mo>¯</q:mo></q:mover><q:mi mathvariant=\"normal\">Λ</q:mi></q:mrow></q:math> threshold with relatively narrow width, as reported by the Belle Collaboration. It is quantitatively demonstrated that the spectrum of the <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\"><t:mrow><t:mi mathvariant=\"normal\">Ξ</t:mi><t:mo>(</t:mo><t:mn>1620</t:mn><t:mo>)</t:mo></t:mrow></t:math> quasibound state is distorted by the effect of the nearby <v:math xmlns:v=\"http://www.w3.org/1998/Math/MathML\"><v:mrow><v:mover accent=\"true\"><v:mi>K</v:mi><v:mo>¯</v:mo></v:mover><v:mi mathvariant=\"normal\">Λ</v:mi></v:mrow></v:math> threshold. We then construct another model which reproduces the <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\"><y:mrow><y:msup><y:mi>K</y:mi><y:mo>−</y:mo></y:msup><y:mi mathvariant=\"normal\">Λ</y:mi></y:mrow></y:math> scattering length by the ALICE Collaboration. In this case, the eigenstate pole does not appear in the physically relevant Riemann sheet, and the spectrum shows a cusp structure at the <ab:math xmlns:ab=\"http://www.w3.org/1998/Math/MathML\"><ab:mrow><ab:mover accent=\"true\"><ab:mi>K</ab:mi><ab:mo>¯</ab:mo></ab:mover><ab:mi mathvariant=\"normal\">Λ</ab:mi></ab:mrow></ab:math> threshold. We finally examine the compatibility of the value of the <db:math xmlns:db=\"http://www.w3.org/1998/Math/MathML\"><db:mrow><db:mover accent=\"true\"><db:mi>K</db:mi><db:mo>¯</db:mo></db:mover><db:mi mathvariant=\"normal\">Λ</db:mi></db:mrow></db:math> scattering length and the subthreshold pole of <gb:math xmlns:gb=\"http://www.w3.org/1998/Math/MathML\"><gb:mrow><gb:mi mathvariant=\"normal\">Ξ</gb:mi><gb:mo>(</gb:mo><gb:mn>1620</gb:mn><gb:mo>)</gb:mo></gb:mrow></gb:math> including the experimental uncertainties.</jats:p>\n          <jats:sec>\n            <jats:title/>\n            <jats:supplementary-material>\n              <jats:permissions>\n                <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement>\n                <jats:copyright-year>2024</jats:copyright-year>\n              </jats:permissions>\n            </jats:supplementary-material>\n          </jats:sec>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380021390572233473","@type":"Researcher","foaf:name":[{"@value":"Takuma Nishibuchi"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, Tokyo Metropolitan University, Hachioji 192-0397, Japan"}]},{"@id":"https://cir.nii.ac.jp/crid/1380021390572233472","@type":"Researcher","foaf:name":[{"@value":"Tetsuo Hyodo"}],"jpcoar:affiliationName":[{"@value":"Department of Physics, Tokyo Metropolitan University, Hachioji 192-0397, Japan"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"24699985"},{"@type":"EISSN","@value":"24699993"}],"prism:publicationName":[{"@value":"Physical Review C"}],"dc:publisher":[{"@value":"American Physical Society (APS)"}],"prism:publicationDate":"2024-01-22","prism:volume":"109","prism:number":"1"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","dc:rights":["https://creativecommons.org/licenses/by/4.0/"],"url":[{"@id":"https://link.aps.org/article/10.1103/PhysRevC.109.015203"},{"@id":"http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevC.109.015203/fulltext"}],"createdAt":"2024-01-22","modifiedAt":"2024-11-12","project":[{"@id":"https://cir.nii.ac.jp/crid/1040010457606865024","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"22K03637"},{"@type":"JGN","@value":"JP22K03637"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22K03637/"}],"notation":[{"@language":"ja","@value":"閾値近傍のエキゾチックハドロンの観測量への影響と内部構造の解明"}]}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050001335723685632","@type":"Article","resourceType":"学術雑誌論文(journal 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xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:msub><mml:mi mathvariant=\"normal\">Ξ</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo>→</mml:mo><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:mi mathvariant=\"italic\">MB</mml:mi></mml:mrow></mml:math>\n decays"}]},{"@id":"https://cir.nii.ac.jp/crid/1360011144839726592","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"QCD with two light dynamical chirally improved quarks: Baryons"}]},{"@id":"https://cir.nii.ac.jp/crid/1360011145903629440","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Remarks on pole trajectories for resonances"}]},{"@id":"https://cir.nii.ac.jp/crid/1360013168824597632","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi mathvariant=\"normal\">Λ</mml:mi><mml:mi>K</mml:mi></mml:mrow></mml:math>\n femtoscopy in Pb-Pb collisions at \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:msqrt><mml:msub><mml:mi>s</mml:mi><mml:mrow><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:msub></mml:msqrt><mml:mo>=</mml:mo><mml:mn>2.76</mml:mn></mml:mrow></mml:math>\n TeV"}]},{"@id":"https://cir.nii.ac.jp/crid/1360021394473324288","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Light baryon resonances: Restrictions and perspectives"}]},{"@id":"https://cir.nii.ac.jp/crid/1360025429416245120","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Constraining the low-energy \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math>\n meson-baryon interaction with two-particle correlations"}]},{"@id":"https://cir.nii.ac.jp/crid/1360283692432037248","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Review of Particle Physics"}]},{"@id":"https://cir.nii.ac.jp/crid/1360285710000793856","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Why \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mrow><mml:mi mathvariant=\"normal\">Ξ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>1690</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:math>\n and \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mrow><mml:mi mathvariant=\"normal\">Ξ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2120</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:math>\n are so narrow"}]},{"@id":"https://cir.nii.ac.jp/crid/1360290617718262272","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"QCD and the strange baryon spectrum"}]},{"@id":"https://cir.nii.ac.jp/crid/1360292620971614976","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Chiral dynamics and the low-energy kaon-nucleon interaction"}]},{"@id":"https://cir.nii.ac.jp/crid/1360294643866099968","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Near-threshold spectrum from a uniformized Mittag-Leffler expansion: Pole structure of the \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mi>Z</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>3900</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math>"}]},{"@id":"https://cir.nii.ac.jp/crid/1360565166073999616","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Improved constraints on chiral SU(3) dynamics from kaonic hydrogen"}]},{"@id":"https://cir.nii.ac.jp/crid/1360567185002777856","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Observation of \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mrow><mml:mi mathvariant=\"normal\">Ξ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>1620</mml:mn><mml:msup><mml:mrow><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>\n and Evidence for \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mrow><mml:mi mathvariant=\"normal\">Ξ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>1690</mml:mn><mml:msup><mml:mrow><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>\n in \n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:msubsup><mml:mi mathvariant=\"normal\">Ξ</mml:mi><mml:mi>c</mml:mi><mml:mo>+</mml:mo></mml:msubsup><mml:mo stretchy=\"false\">→</mml:mo><mml:msup><mml:mi mathvariant=\"normal\">Ξ</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math>\n Decays"}]},{"@id":"https://cir.nii.ac.jp/crid/1360574096292657664","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Non-Hermitian Quantum Mechanics"}]},{"@id":"https://cir.nii.ac.jp/crid/1360580229829762048","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Nature of excited 𝚵 baryons with threshold effects"}]},{"@id":"https://cir.nii.ac.jp/crid/1360846642750607360","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Compositeness of dynamically generated states in a chiral unitary approach"}]},{"@id":"https://cir.nii.ac.jp/crid/1360848659971978112","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Structure of Near-Threshold<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:mi>s</mml:mi></mml:math>-Wave Resonances"}]},{"@id":"https://cir.nii.ac.jp/crid/1360855571212417280","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Quark mass dependence of s-wave baryon resonances"}]},{"@id":"https://cir.nii.ac.jp/crid/1360861711991515392","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Evidence of a\n                    <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1770.svg\">\n                      <mml:mi>J</mml:mi>\n                      <mml:mo>/</mml:mo>\n                      <mml:mi>ψ</mml:mi>\n                      <mml:mi mathvariant=\"normal\">Λ</mml:mi>\n                    </mml:math>\n                    structure and observation of excited\n                    <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si176.svg\">\n                      <mml:msup>\n                        <mml:mi mathvariant=\"normal\">Ξ</mml:mi>\n                        <mml:mo>-</mml:mo>\n                      </mml:msup>\n                    </mml:math>\n                    states in the\n                    <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si177.svg\">\n                      <mml:msubsup>\n                        <mml:mi mathvariant=\"normal\">Ξ</mml:mi>\n                        <mml:mi>b</mml:mi>\n                        <mml:mo>-</mml:mo>\n                      </mml:msubsup>\n                      <mml:mo>→</mml:mo>\n                      <mml:mi>J</mml:mi>\n                      <mml:mo>/</mml:mo>\n                      <mml:mi>ψ</mml:mi>\n                      <mml:mi mathvariant=\"normal\">Λ</mml:mi>\n                      <mml:msup>\n                        <mml:mi>K</mml:mi>\n                        <mml:mo>-</mml:mo>\n                      </mml:msup>\n                    </mml:math>\n                    decay"}]},{"@id":"https://cir.nii.ac.jp/crid/1360865819389128832","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The Ξ(1620) and Ξ(1690) molecular states from S = −2 meson-baryon interaction up to next-to-leading order"}]},{"@id":"https://cir.nii.ac.jp/crid/1361137043520190080","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Chiral dynamics in the presence of bound states: kaon–nucleon interactions revisited"}]},{"@id":"https://cir.nii.ac.jp/crid/1361137043842053376","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Odd-parity light baryon resonances"}]},{"@id":"https://cir.nii.ac.jp/crid/1361137045867117184","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Observable effects of poles and shadow poles in coupled-channel systems"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418519212632064","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Theory of Resonances"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418520504931328","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"S- and p-wave structure of S = −1 meson–baryon scattering in the resonance region"}]},{"@id":"https://cir.nii.ac.jp/crid/1362262943350907392","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Chiral SU(3) theory of antikaon–nucleon interactions with improved 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