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Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules

dc.contributor.authorYAN, Mao-Jun
dc.contributor.authorPENG, Fang-Zheng
hal.structure.identifierCentre d'Etudes Nucléaires de Bordeaux Gradignan [CENBG]
dc.contributor.authorSÁNCHEZ SÁNCHEZ, Mario
dc.contributor.authorPAVON VALDERRAMA, Manuel
dc.date.issued2021
dc.description.abstractEnEarly speculations about the existence of heavy hadron molecules were grounded on the idea that light-meson exchange forces could lead to binding. In analogy to the deuteron, the light mesons usually considered include the pion, sigma, rho and omega, but not the axial meson <math display="inline"><msub><mi>a</mi><mn>1</mn></msub><mo stretchy="false">(</mo><mn>1260</mn><mo stretchy="false">)</mo></math>. Though it has been argued in the past that the coupling of the axial meson to the nucleons is indeed strong, its mass is considerably heavier than that of the vector mesons and thus its exchange ends up being suppressed. Yet, this is not necessarily the case in heavy hadrons molecules; we find that even though the contribution to binding from the axial meson is modest, it cannot be neglected in the isovector sector where vector meson exchange cancels out. This might provide a natural binding mechanism for molecular candidates such as the <math display="inline"><msub><mi>Z</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>3900</mn><mo stretchy="false">)</mo></math>, <math display="inline"><mrow><msub><mrow><mi>Z</mi></mrow><mrow><mi>c</mi></mrow></msub><mo stretchy="false">(</mo><mn>4020</mn><mo stretchy="false">)</mo></mrow></math>, or the more recently observed <math display="inline"><msub><mi>Z</mi><mrow><mi>c</mi><mi>s</mi></mrow></msub><mo stretchy="false">(</mo><mn>3985</mn><mo stretchy="false">)</mo></math>. However, the <math display="inline"><mrow><msub><mrow><mi>Z</mi></mrow><mrow><mi>c</mi><mi>s</mi></mrow></msub><mo stretchy="false">(</mo><mn>3985</mn><mo stretchy="false">)</mo></mrow></math> is more dependent on a mixture of different factors, which (besides axial meson exchange) include <math display="inline"><mi>η</mi></math> exchange and the nature of scalar meson exchange. Together they point towards the existence of two <math display="inline"><msub><mi>Z</mi><mrow><mi>c</mi><mi>s</mi></mrow></msub><mo stretchy="false">(</mo><mn>3985</mn><mo stretchy="false">)</mo></math>-like resonances instead of one, while the observations about the role of scalar meson exchange in the <math display="inline"><msub><mi>Z</mi><mrow><mi>c</mi><mi>s</mi></mrow></msub><mo stretchy="false">(</mo><mn>3985</mn><mo stretchy="false">)</mo></math> might be relevant for the <math display="inline"><msub><mi>P</mi><mrow><mi>c</mi><mi>s</mi></mrow></msub><mo stretchy="false">(</mo><mn>4459</mn><mo stretchy="false">)</mo></math>. Finally, the combination of axial meson exchange and flavor-symmetry breaking effects indicates that the isovector <math display="inline"><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>0</mn><mrow><mo>+</mo><mo>+</mo></mrow></msup></math> <math display="inline"><msup><mi>D</mi><mo>*</mo></msup><msup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mo>*</mo></msup></math> and the strange <math display="inline"><msup><mi>J</mi><mi>P</mi></msup><mo>=</mo><msup><mn>2</mn><mo>+</mo></msup></math> <math display="inline"><msup><mi>D</mi><mo>*</mo></msup><msubsup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mi>s</mi><mo>*</mo></msubsup></math> molecules are the most attractive configurations and thus the most likely molecular partners of the <math display="inline"><msub><mi>Z</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>3900</mn><mo stretchy="false">)</mo></math>, <math display="inline"><msub><mi>Z</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>4020</mn><mo stretchy="false">)</mo></math>, and <math display="inline"><msub><mi>Z</mi><mrow><mi>c</mi><mi>s</mi></mrow></msub><mo stretchy="false">(</mo><mn>3985</mn><mo stretchy="false">)</mo></math>.
dc.language.isoen
dc.subject.enhadron: molecule
dc.subject.enhadron: heavy
dc.subject.enmeson: exchange
dc.subject.enaxial
dc.subject.encoupling: axial
dc.subject.enscalar meson: exchange
dc.subject.enpentaquark
dc.subject.enisovector
dc.subject.ena1(1260)
dc.subject.enZ/c(3900)
dc.title.enAxial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
dc.typeArticle de revue
dc.identifier.doi10.1103/PhysRevD.104.114025
dc.subject.halPhysique [physics]/Physique des Hautes Energies - Phénoménologie [hep-ph]
dc.subject.halPhysique [physics]/Physique des Hautes Energies - Expérience [hep-ex]
dc.subject.halPhysique [physics]/Physique des Hautes Energies - Réseau [hep-lat]
dc.subject.halPhysique [physics]/Physique Nucléaire Théorique [nucl-th]
dc.identifier.arxiv2102.13058
bordeaux.journalPhys.Rev.D
bordeaux.page114025
bordeaux.volume104
bordeaux.issue11
bordeaux.peerReviewedoui
hal.identifierhal-03171396
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03171396v1
bordeaux.COinSctx_ver=Z39.88-2004&amp;rft_val_fmt=info:ofi/fmt:kev:mtx:journal&amp;rft.jtitle=Phys.Rev.D&amp;rft.date=2021&amp;rft.volume=104&amp;rft.issue=11&amp;rft.spage=114025&amp;rft.epage=114025&amp;rft.au=YAN,%20Mao-Jun&amp;PENG,%20Fang-Zheng&amp;S%C3%81NCHEZ%20S%C3%81NCHEZ,%20Mario&amp;PAVON%20VALDERRAMA,%20Manuel&amp;rft.genre=article


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