Tanishk Shrimal, Sara Collins, Priyajit Jana, M. Padmanath, Sasa Prelovsek
{"title":"Lattice study of ccu¯s¯ tetraquark channels in D(*)Ds(*) scattering","authors":"Tanishk Shrimal, Sara Collins, Priyajit Jana, M. Padmanath, Sasa Prelovsek","doi":"10.1103/tdjf-4l5v","DOIUrl":null,"url":null,"abstract":"We present the first lattice quantum chromodynamics (QCD) determination of coupled D</a:mi>D</a:mi>s</a:mi>*</a:mo></a:msubsup></a:math> and <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msup><c:mi>D</c:mi><c:mo>*</c:mo></c:msup><c:msub><c:mi>D</c:mi><c:mi>s</c:mi></c:msub></c:math> scattering amplitudes in the <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msup><e:mi>J</e:mi><e:mi>P</e:mi></e:msup><e:mo>=</e:mo><e:msup><e:mn>1</e:mn><e:mo>+</e:mo></e:msup></e:math> channel and elastic <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mi>D</g:mi><g:msub><g:mi>D</g:mi><g:mi>s</g:mi></g:msub></g:math> scattering amplitude in the <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msup><i:mi>J</i:mi><i:mi>P</i:mi></i:msup><i:mo>=</i:mo><i:msup><i:mn>0</i:mn><i:mo>+</i:mo></i:msup></i:math> channel. The aim is to investigate whether tetraquarks with flavor <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>c</k:mi><k:mi>c</k:mi><k:mover accent=\"true\"><k:mi>u</k:mi><k:mo stretchy=\"false\">¯</k:mo></k:mover><k:mover accent=\"true\"><k:mi>s</k:mi><k:mo stretchy=\"false\">¯</k:mo></k:mover></k:math> exist in the region near threshold. Lattice QCD ensembles from the CLS consortium with <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:msub><q:mi>m</q:mi><q:mi>π</q:mi></q:msub><q:mo>∼</q:mo><q:mn>280</q:mn><q:mtext> </q:mtext><q:mtext> </q:mtext><q:mi>MeV</q:mi></q:math>, <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mi>a</s:mi><s:mo>∼</s:mo><s:mn>0.09</s:mn><s:mtext> </s:mtext><s:mtext> </s:mtext><s:mi>fm</s:mi></s:math> and <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:mi>L</u:mi><u:mo>/</u:mo><u:mi>a</u:mi><u:mo>=</u:mo><u:mn>24</u:mn></u:math>, 32 are utilized. Finite-volume spectra are determined via variational analysis of two-point correlation matrices, computed using large bases of operators resembling bilocal two-meson structures within the framework. The scattering matrix for partial wave <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mi>l</w:mi><w:mo>=</w:mo><w:mn>0</w:mn></w:math> is determined using lattice eigenenergies from multiple inertial frames following Lüscher’s formalism as well as following the solutions of Lippmann-Schwinger equation in the finite-volume on a plane-wave basis. We observe small nonzero energy shifts in the simulated spectra from the noninteracting scenario in both the channels studied, which points to rather weak nontrivial interactions between the mesons involved. Despite the nonzero energy shifts, the lattice-extracted <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mi>S</y:mi></y:math>-wave amplitudes do not carry signatures of any hadron pole features in the physical amplitudes in the energy region near the threshold.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"10 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/tdjf-4l5v","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We present the first lattice quantum chromodynamics (QCD) determination of coupled DDs* and D*Ds scattering amplitudes in the JP=1+ channel and elastic DDs scattering amplitude in the JP=0+ channel. The aim is to investigate whether tetraquarks with flavor ccu¯s¯ exist in the region near threshold. Lattice QCD ensembles from the CLS consortium with mπ∼280MeV, a∼0.09fm and L/a=24, 32 are utilized. Finite-volume spectra are determined via variational analysis of two-point correlation matrices, computed using large bases of operators resembling bilocal two-meson structures within the framework. The scattering matrix for partial wave l=0 is determined using lattice eigenenergies from multiple inertial frames following Lüscher’s formalism as well as following the solutions of Lippmann-Schwinger equation in the finite-volume on a plane-wave basis. We observe small nonzero energy shifts in the simulated spectra from the noninteracting scenario in both the channels studied, which points to rather weak nontrivial interactions between the mesons involved. Despite the nonzero energy shifts, the lattice-extracted S-wave amplitudes do not carry signatures of any hadron pole features in the physical amplitudes in the energy region near the threshold.
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
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Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
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Astrophysics and astroparticle physics,
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