The LHCb state $P_{\psi s}^\Lambda(4338)$ as a triangle singularity

We present a model for the <math altimg="si2.svg"><mi>J</mi><mo stretchy="false">/</mo><mi>ψ</mi><mspace width="0.2em"/><mi mathvariant="normal">Λ</mi></math> spectrum in <math altimg="s...

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Detalles Bibliográficos
Autores principales: Burns, T.J., Swanson, E.S.
Lenguaje:eng
Publicado: 2022
Materias:
hep-ph
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2023.137715
http://cds.cern.ch/record/2847530
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author Burns, T.J.
Swanson, E.S.
author_facet Burns, T.J.
Swanson, E.S.
author_sort Burns, T.J.
collection CERN
description We present a model for the <math altimg="si2.svg"><mi>J</mi><mo stretchy="false">/</mo><mi>ψ</mi><mspace width="0.2em"/><mi mathvariant="normal">Λ</mi></math> spectrum in <math altimg="si3.svg"><msup><mrow><mi>B</mi></mrow><mrow><mo linebreak="badbreak" linebreakstyle="after">−</mo></mrow></msup><mo stretchy="false">→</mo><mi>J</mi><mo stretchy="false">/</mo><mi>ψ</mi><mspace width="0.2em"/><mi mathvariant="normal">Λ</mi><mspace width="0.2em"/><mover accent="true"><mrow><mi>p</mi></mrow><mrow><mo stretchy="false">¯</mo></mrow></mover></math> decays, including the <math altimg="si1.svg"><msubsup><mrow><mi>P</mi></mrow><mrow><mi>ψ</mi><mi>s</mi></mrow><mrow><mi mathvariant="normal">Λ</mi></mrow></msubsup><mo stretchy="false">(</mo><mn>4338</mn><mo stretchy="false">)</mo></math> baryon recently observed by the LHCb collaboration. We assume production via triangle diagrams which couple to the final state via non-perturbative interactions which are constrained by heavy-quark and <math altimg="si4.svg"><mi>S</mi><msub><mrow><mi>U</mi></mrow><mrow><mn>3</mn></mrow></msub></math>-flavor symmetry. The bulk of the distribution is described by a triangle diagram with a color-favored electroweak vertex, while the sharp <math altimg="si1.svg"><msubsup><mrow><mi>P</mi></mrow><mrow><mi>ψ</mi><mi>s</mi></mrow><mrow><mi mathvariant="normal">Λ</mi></mrow></msubsup><mo stretchy="false">(</mo><mn>4338</mn><mo stretchy="false">)</mo></math> enhancement is due to the triangle singularity in another diagram featuring a <math altimg="si5.svg"><mn>1</mn><mo stretchy="false">/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo linebreak="badbreak" linebreakstyle="after">−</mo></mrow></msup></math> baryon consistent with <math altimg="si6.svg"><msub><mrow><mi mathvariant="normal">Σ</mi></mrow><mrow><mi>c</mi></mrow></msub><mo stretchy="false">(</mo><mn>2800</mn><mo stretchy="false">)</mo></math>. We predict a comparable <math altimg="si1.svg"><msubsup><mrow><mi>P</mi></mrow><mrow><mi>ψ</mi><mi>s</mi></mrow><mrow><mi mathvariant="normal">Λ</mi></mrow></msubsup><mo stretchy="false">(</mo><mn>4338</mn><mo stretchy="false">)</mo></math> signal in <math altimg="si7.svg"><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><mspace width="0.2em"/><mi mathvariant="normal">Λ</mi></math>, and anticipate possible large isospin mixing effects through decays to <math altimg="si8.svg"><mi>J</mi><mo stretchy="false">/</mo><mi>ψ</mi><mspace width="0.2em"/><msup><mrow><mi mathvariant="normal">Σ</mi></mrow><mrow><mn>0</mn></mrow></msup></math> and <math altimg="si9.svg"><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><mspace width="0.2em"/><msup><mrow><mi mathvariant="normal">Σ</mi></mrow><mrow><mn>0</mn></mrow></msup></math>.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2022
record_format invenio
spelling cern-28475302023-04-16T02:00:32Zdoi:10.1016/j.physletb.2023.137715http://cds.cern.ch/record/2847530engBurns, T.J.Swanson, E.S.The LHCb state $P_{\psi s}^\Lambda(4338)$ as a triangle singularityhep-phParticle Physics - PhenomenologyWe present a model for the <math altimg="si2.svg"><mi>J</mi><mo stretchy="false">/</mo><mi>ψ</mi><mspace width="0.2em"/><mi mathvariant="normal">Λ</mi></math> spectrum in <math altimg="si3.svg"><msup><mrow><mi>B</mi></mrow><mrow><mo linebreak="badbreak" linebreakstyle="after">−</mo></mrow></msup><mo stretchy="false">→</mo><mi>J</mi><mo stretchy="false">/</mo><mi>ψ</mi><mspace width="0.2em"/><mi mathvariant="normal">Λ</mi><mspace width="0.2em"/><mover accent="true"><mrow><mi>p</mi></mrow><mrow><mo stretchy="false">¯</mo></mrow></mover></math> decays, including the <math altimg="si1.svg"><msubsup><mrow><mi>P</mi></mrow><mrow><mi>ψ</mi><mi>s</mi></mrow><mrow><mi mathvariant="normal">Λ</mi></mrow></msubsup><mo stretchy="false">(</mo><mn>4338</mn><mo stretchy="false">)</mo></math> baryon recently observed by the LHCb collaboration. We assume production via triangle diagrams which couple to the final state via non-perturbative interactions which are constrained by heavy-quark and <math altimg="si4.svg"><mi>S</mi><msub><mrow><mi>U</mi></mrow><mrow><mn>3</mn></mrow></msub></math>-flavor symmetry. The bulk of the distribution is described by a triangle diagram with a color-favored electroweak vertex, while the sharp <math altimg="si1.svg"><msubsup><mrow><mi>P</mi></mrow><mrow><mi>ψ</mi><mi>s</mi></mrow><mrow><mi mathvariant="normal">Λ</mi></mrow></msubsup><mo stretchy="false">(</mo><mn>4338</mn><mo stretchy="false">)</mo></math> enhancement is due to the triangle singularity in another diagram featuring a <math altimg="si5.svg"><mn>1</mn><mo stretchy="false">/</mo><msup><mrow><mn>2</mn></mrow><mrow><mo linebreak="badbreak" linebreakstyle="after">−</mo></mrow></msup></math> baryon consistent with <math altimg="si6.svg"><msub><mrow><mi mathvariant="normal">Σ</mi></mrow><mrow><mi>c</mi></mrow></msub><mo stretchy="false">(</mo><mn>2800</mn><mo stretchy="false">)</mo></math>. We predict a comparable <math altimg="si1.svg"><msubsup><mrow><mi>P</mi></mrow><mrow><mi>ψ</mi><mi>s</mi></mrow><mrow><mi mathvariant="normal">Λ</mi></mrow></msubsup><mo stretchy="false">(</mo><mn>4338</mn><mo stretchy="false">)</mo></math> signal in <math altimg="si7.svg"><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><mspace width="0.2em"/><mi mathvariant="normal">Λ</mi></math>, and anticipate possible large isospin mixing effects through decays to <math altimg="si8.svg"><mi>J</mi><mo stretchy="false">/</mo><mi>ψ</mi><mspace width="0.2em"/><msup><mrow><mi mathvariant="normal">Σ</mi></mrow><mrow><mn>0</mn></mrow></msup></math> and <math altimg="si9.svg"><msub><mrow><mi>η</mi></mrow><mrow><mi>c</mi></mrow></msub><mspace width="0.2em"/><msup><mrow><mi mathvariant="normal">Σ</mi></mrow><mrow><mn>0</mn></mrow></msup></math>.We present a model for the $J/\psi\Lambda$ spectrum in $B^-\to J/\psi \Lambda \bar{p}$ decays, including the $P_{\psi s}^\Lambda(4338)$ baryon recently observed by the LHCb collaboration. We assume production via triangle diagrams which couple to the final state via non-perturbative interactions which are constrained by heavy-quark and $SU_3$-flavor symmetry. The bulk of the distribution is described by a triangle diagram with a color-favored electroweak vertex, while the sharp $P_{\psi s}^\Lambda(4338)$ enhancement is due to the triangle singularity in another diagram featuring a $1/2^-$ baryon consistent with $\Sigma_c(2800)$. We predict a comparable $P_{\psi s}^\Lambda(4338)$ signal in $\eta_c \Lambda$, and anticipate possible large isospin mixing effects through decays to $J/\psi \Sigma^0$ and $\eta_c \Sigma^0$arXiv:2208.05106oai:cds.cern.ch:28475302022-08-09
spellingShingle hep-ph
Particle Physics - Phenomenology
Burns, T.J.
Swanson, E.S.
The LHCb state $P_{\psi s}^\Lambda(4338)$ as a triangle singularity
title The LHCb state $P_{\psi s}^\Lambda(4338)$ as a triangle singularity
title_full The LHCb state $P_{\psi s}^\Lambda(4338)$ as a triangle singularity
title_fullStr The LHCb state $P_{\psi s}^\Lambda(4338)$ as a triangle singularity
title_full_unstemmed The LHCb state $P_{\psi s}^\Lambda(4338)$ as a triangle singularity
title_short The LHCb state $P_{\psi s}^\Lambda(4338)$ as a triangle singularity
title_sort lhcb state $p_{\psi s}^\lambda(4338)$ as a triangle singularity
topic hep-ph
Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.physletb.2023.137715
http://cds.cern.ch/record/2847530
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