Shallow Bound States and Hints for Broad Resonances with Quark Content b ¯ c ¯ u d in B − D ¯ and B * − D ¯ Scattering from Lattice QCD

Alexandrou, Constantia; Finkenrath, Jacob; Leontiou, Theodoros; Meinel, Stefan; Pflaumer, Martin; Wagner, Marc

doi:10.1103/PhysRevLett.132.151902

Shallow Bound States and Hints for Broad Resonances with Quark Content $\bar{b} \bar{c} u d$ in $B − \bar{D}$ and $B^{*} − \bar{D}$ Scattering from Lattice QCD

Journal Article · Tue Apr 09 00:00:00 EDT 2024 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.132.151902· OSTI ID:2335827

Alexandrou, Constantia; ; ; ; Pflaumer, Martin;

We present the first determination of the energy dependence of the $B − \bar{D}$ and $B^{*} − \bar{D}$ isospin-0, $S$ -wave scattering amplitudes both below and above the thresholds using lattice QCD, which allows us to investigate rigorously whether mixed bottom-charm $\bar{b} \bar{c} u d$ tetraquarks exist as bound states or resonances. The scattering phase shifts are obtained using Lüscher’s method from the energy spectra in two different volumes. To ensure that no relevant energy level is missed, we use large, symmetric $7 \times 7$ and $8 \times 8$ correlation matrices that include, at both source and sink, $B^{(*)} − \bar{D}$ scattering operators with the lowest three or four possible back-to-back momenta in addition to local $\bar{b} \bar{c} u d$ operators. We fit the energy dependence of the extracted scattering phase shifts using effective-range expansions. We observe sharp peaks in the $B^{(*)} − \bar{D}$ scattering rates close to the thresholds, which are associated with shallow bound states, either genuine or virtual, a few MeV or less below the $B^{(*)} − \bar{D}$ thresholds. In addition, we find hints for resonances with masses of order 100 MeV above the thresholds and decay widths of order 200 MeV.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

OSTI ID:: 2335827

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 132; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (56)

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states Lüscher, M. Communications in Mathematical Physics, Vol. 105, Issue 2 https://doi.org/10.1007/BF01211097	journal	June 1986
Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J. Journal of High Energy Physics, Vol. 2018, Issue 7 https://doi.org/10.1007/JHEP07(2018)043	journal	July 2018
How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation Lüscher, Martin; Wolff, Ulli Nuclear Physics B, Vol. 339, Issue 1 https://doi.org/10.1016/0550-3213(90)90540-T	journal	July 1990
Two-particle states on a torus and their relation to the scattering matrix Lüscher, Martin Nuclear Physics B, Vol. 354, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90366-6	journal	May 1991
Signatures of unstable particles in finite volume Lüscher, Martin Nuclear Physics B, Vol. 364, Issue 1 https://doi.org/10.1016/0550-3213(91)90584-K	journal	October 1991
A schematic model of baryons and mesons Gell-Mann, M. Physics Letters, Vol. 8, Issue 3 https://doi.org/10.1016/S0031-9163(64)92001-3	journal	February 1964
Investigating efficient methods for computing four-quark correlation functions Abdel-Rehim, Abdou; Alexandrou, Constantia; Berlin, Joshua Computer Physics Communications, Vol. 220 https://doi.org/10.1016/j.cpc.2017.06.021	journal	November 2017
Masses of the doubly heavy tetraquarks in a constituent quark model Park, Woosung; Noh, Sungsik; Lee, Su Houng Nuclear Physics A, Vol. 983 https://doi.org/10.1016/j.nuclphysa.2018.12.019	journal	March 2019
Doubly-heavy tetraquark bound states and resonances Richard, Jean-Marc; Valcarce, Alfredo; Vijande, Javier Nuclear and Particle Physics Proceedings, Vol. 324-329 https://doi.org/10.1016/j.nuclphysbps.2023.01.014	journal	March 2023
Discovery potential of stable and near-threshold doubly heavy tetraquarks at the LHC Ali, Ahmed; Qin, Qin; Wang, Wei Physics Letters B, Vol. 785 https://doi.org/10.1016/j.physletb.2018.09.018	journal	October 2018
Spectroscopy, lifetime and decay modes of the T b b − tetraquark Hernández, E.; Vijande, J.; Valcarce, A. Physics Letters B, Vol. 800 https://doi.org/10.1016/j.physletb.2019.135073	journal	January 2020
Heavy-quark QCD exotica Lebed, Richard F.; Mitchell, Ryan E.; Swanson, Eric S. Progress in Particle and Nuclear Physics, Vol. 93 https://doi.org/10.1016/j.ppnp.2016.11.003	journal	March 2017
Study of the doubly charmed tetraquark $${{{{{{\rm{T}}}}}}}_{{{{{{\rm{c}}}}}}{{{{{\rm{c}}}}}}}^{+}$$ No authors listed Nature Communications, Vol. 13, Issue 1 https://doi.org/10.1038/s41467-022-30206-w	journal	June 2022
Observation of an exotic narrow doubly charmed tetraquark No authors listed Nature Physics, Vol. 18, Issue 7 https://doi.org/10.1038/s41567-022-01614-y	journal	June 2022
The static-light meson spectrum from twisted mass lattice QCD Jansen, Karl; Michael, Chris; Shindler, Andrea Journal of High Energy Physics, Vol. 2008, Issue 12 https://doi.org/10.1088/1126-6708/2008/12/058	journal	December 2008
On the generalized eigenvalue method for energies and matrix elements in lattice field theory collaboration, Alpha; Blossier, Benoit; Morte, Michele Della Journal of High Energy Physics, Vol. 2009, Issue 04 https://doi.org/10.1088/1126-6708/2009/04/094	journal	April 2009
An updated review of the new hadron states Chen, Hua-Xing; Chen, Wei; Liu, Xiang Reports on Progress in Physics, Vol. 86, Issue 2 https://doi.org/10.1088/1361-6633/aca3b6	journal	December 2022
Mass spectra of doubly heavy tetraquarks in diquark−antidiquark picture* Song, Yong-Xing; Jia, Duo-Jie Communications in Theoretical Physics, Vol. 75, Issue 5 https://doi.org/10.1088/1572-9494/acc019	journal	April 2023
Review of Particle Physics No authors listed Progress of Theoretical and Experimental Physics, Vol. 2022, Issue 8 https://doi.org/10.1093/ptep/ptac097	journal	August 2022
Lattice QCD investigation of a doubly-bottom b ¯ b ¯ u d tetraquark with quantum numbers I ( J P ) = 0 ( 1 + ) Leskovec, Luka; Meinel, Stefan; Pflaumer, Martin Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevD.100.014503	journal	July 2019
Double-heavy tetraquarks Yang, Gang; Ping, Jialun; Segovia, Jorge Physical Review D, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevD.101.014001	journal	January 2020
Masses of doubly heavy tetraquarks T Q Q ′ in a relativized quark model Lü, Qi-Fang; Chen, Dian-Yong; Dong, Yu-Bing Physical Review D, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevD.102.034012	journal	August 2020
Construction of bbu¯d¯ tetraquark states on lattice with NRQCD bottom and HISQ up and down quarks Mohanta, Protick; Basak, Subhasish Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.094516	journal	November 2020
Lattice investigation of exotic tetraquark channels Hudspith, R. J.; Colquhoun, B.; Francis, A. Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.114506	journal	December 2020
Masses of doubly heavy tetraquarks with error bars Braaten, Eric; He, Li-Ping; Mohapatra, Abhishek Physical Review D, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevD.103.016001	journal	January 2021
Mass spectra of doubly heavy tetraquarks in an improved chromomagnetic interaction model Guo, Tao; Li, Jianing; Zhao, Jiaxing Physical Review D, Vol. 105, Issue 1 https://doi.org/10.1103/PhysRevD.105.014021	journal	January 2022
Search for b¯b¯us and b¯c¯ud tetraquark bound states using lattice QCD Meinel, Stefan; Pflaumer, Martin; Wagner, Marc Physical Review D, Vol. 106, Issue 3 https://doi.org/10.1103/PhysRevD.106.034507	journal	August 2022
Exotic tetraquark states with two b¯ quarks and JP=0+ and 1+ Bs states in a nonperturbatively tuned lattice NRQCD setup Hudspith, R. J.; Mohler, D. Physical Review D, Vol. 107, Issue 11 https://doi.org/10.1103/PhysRevD.107.114510	journal	June 2023
Doubly heavy tetraquarks: Heavy quark bindings and chromomagnetically mixings Liu, Xin-Yue; Zhang, Wen-Xuan; Jia, Duojie Physical Review D, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevD.108.054019	journal	September 2023
Lattice study on a tetraquark state Tbb in the HAL QCD method Aoki, Takafumi; Aoki, Sinya; Inoue, Takashi Physical Review D, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevD.108.054502	journal	September 2023
Multiquark hadrons. I. Phenomenology of Q 2 Q ¯ 2 mesons Jaffe, R. J. Physical Review D, Vol. 15, Issue 1 https://doi.org/10.1103/PhysRevD.15.267	journal	January 1977
Improved nonrelativistic QCD for heavy-quark physics Lepage, G. Peter; Magnea, Lorenzo; Nakhleh, Charles Physical Review D, Vol. 46, Issue 9 https://doi.org/10.1103/PhysRevD.46.4052	journal	November 1992
Massive fermions in lattice gauge theory El-Khadra, Aida X.; Kronfeld, Andreas S.; Mackenzie, Paul B. Physical Review D, Vol. 55, Issue 7 https://doi.org/10.1103/PhysRevD.55.3933	journal	April 1997
Masses of tetraquarks with two heavy quarks in the relativistic quark model Ebert, D.; Faustov, R. N.; Galkin, V. O. Physical Review D, Vol. 76, Issue 11 https://doi.org/10.1103/PhysRevD.76.114015	journal	December 2007
The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea Dowdall, R. J.; Colquhoun, B.; Daldrop, J. O. Physical Review D, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevD.85.054509	journal	March 2012
Lattice QCD ensembles with four flavors of highly improved staggered quarks Bazavov, A.; Bernard, C.; Komijani, J. Physical Review D, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevD.87.054505	journal	March 2013
Exotic open-flavor b c q ¯ q ¯ , b c s ¯ s ¯ and q c q ¯ b ¯ , s c s ¯ b ¯ tetraquark states Chen, Wei; Steele, T. G.; Zhu, Shi-Lin Physical Review D, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevD.89.054037	journal	March 2014
Isovector and isoscalar tensor charges of the nucleon from lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D. Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094511	journal	November 2015
Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with Lüscher’s finite volume formula Iritani, Takumi; Aoki, Sinya; Doi, Takumi Physical Review D, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevD.96.034521	journal	August 2017
Charm-beauty meson bound states from B ( B * ) D ( D * ) and B ( B * ) D ¯ ( D ¯ * ) interaction Sakai, S.; Roca, L.; Oset, E. Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevD.96.054023	journal	September 2017
Isovector charges of the nucleon from 2 + 1 + 1 -flavor lattice QCD Gupta, Rajan; Jang, Yong-Chull; Yoon, Boram Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.034503	journal	August 2018
Weak decays of stable doubly heavy tetraquark states Xing, Ye; Zhu, Ruilin Physical Review D, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevD.98.053005	journal	September 2018
Exotic b c q ¯ q ¯ four-quark states Caramés, T. F.; Vijande, J.; Valcarce, A. Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevD.99.014006	journal	January 2019
Weak decays of the axial-vector tetraquark Tbb;u¯d¯− Agaev, S. S.; Azizi, K.; Barsbay, B. Physical Review D, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevD.99.033002	journal	February 2019
Study of doubly heavy tetraquarks in lattice QCD Junnarkar, Parikshit; Mathur, Nilmani; Padmanath, M. Physical Review D, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevD.99.034507	journal	February 2019
Evidence for charm-bottom tetraquarks and the mass dependence of heavy-light tetraquark states from lattice QCD Francis, Anthony; Hudspith, Renwick J.; Lewis, Randy Physical Review D, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevD.99.054505	journal	March 2019
Lattice Prediction for Deeply Bound Doubly Heavy Tetraquarks Francis, A.; Hudspith, R. J.; Lewis, R. Physical Review Letters, Vol. 118, Issue 14 https://doi.org/10.1103/PhysRevLett.118.142001	journal	April 2017
Discovery of the Doubly Charmed Ξ c c Baryon Implies a Stable b b u ¯ d ¯ Tetraquark Karliner, Marek; Rosner, Jonathan L. Physical Review Letters, Vol. 119, Issue 20 https://doi.org/10.1103/PhysRevLett.119.202001	journal	November 2017
Heavy-Quark Symmetry Implies Stable Heavy Tetraquark Mesons Q i Q j q ¯ k q ¯ l Eichten, Estia J.; Quigg, Chris Physical Review Letters, Vol. 119, Issue 20 https://doi.org/10.1103/PhysRevLett.119.202002	journal	November 2017
Signature of a Doubly Charm Tetraquark Pole in DD* Scattering on the Lattice Padmanath, M.; Prelovsek, S. Physical Review Letters, Vol. 129, Issue 3 https://doi.org/10.1103/PhysRevLett.129.032002	journal	July 2022
Hadrons and nuclei Detmold, William; Edwards, Robert G.; Dudek, Jozef J. The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12902-4	journal	November 2019
Systematical investigation on the stability of doubly heavy tetraquark states Deng, Chengrong; Chen, Hong; Ping, Jialun The European Physical Journal A, Vol. 56, Issue 1 https://doi.org/10.1140/epja/s10050-019-00012-y	journal	January 2020
Stable multiquark states with heavy quarks in a diquark model Lee, Su Houng; Yasui, Shigehiro The European Physical Journal C, Vol. 64, Issue 2 https://doi.org/10.1140/epjc/s10052-009-1140-x	journal	September 2009
FLAG Review 2021 Aoki, Y.; Blum, T.; Colangelo, G. The European Physical Journal C, Vol. 82, Issue 10 https://doi.org/10.1140/epjc/s10052-022-10536-1	journal	October 2022
Systematics of $$QQ{\bar{q}}{\bar{q}}$$ in a chiral constituent quark model Tan, Yue; Lu, Weichang; Ping, Jialun The European Physical Journal Plus, Vol. 135, Issue 9 https://doi.org/10.1140/epjp/s13360-020-00741-w	journal	September 2020
The Lüscher scattering formalism on the t-channel cut Baiao Raposo, Andre; Hansen, Maxwell Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022) https://doi.org/10.22323/1.430.0051	conference	February 2023

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Shallow Bound States and Hints for Broad Resonances with Quark Content $\bar{b} \bar{c} u d$ in $B − \bar{D}$ and $B^{*} − \bar{D}$ Scattering from Lattice QCD