- Letter
- Open Access
Probing exotic resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
Phys. Rev. D 110, L051501 – Published 4 September, 2024
DOI: https://doi.org/10.1103/PhysRevD.110.L051501
Abstract
We investigate the resonance phenomenon in deeply bound charmoniumlike states. By interpreting the , , and states as deeply -wave bound , , and molecules, respectively, we robustly predict the existence of 4 -wave deeply bound -parity partner states and 13 -wave charmoniumlike molecular resonances. These states, formed by exchanging the light mesons and pinpointed through the complex scaling method, include 3 -wave bound states with exotic quantum numbers and 5 -wave resonances with exotic and . We expect future experiments to search for such exotic molecular resonances, which will not only enrich the ongoing construction of “Particle Zoo 2.0” but also help to scrutinize the hadronic molecular assignments of the - family particles including the , , and states.
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References (77)
- C. Amsler and N. A. Tornqvist, Mesons beyond the naive quark model, Phys. Rep. 389, 61 (2004).
- E. S. Swanson, The new heavy mesons: A status report, Phys. Rep. 429, 243 (2006).
- S. Godfrey and S. L. Olsen, The exotic charmonium-like mesons, Annu. Rev. Nucl. Part. Sci. 58, 51 (2008).
- N. Drenska, R. Faccini, F. Piccinini, A. Polosa, F. Renga, and C. Sabelli, New hadronic spectroscopy, Riv. Nuovo Cimento 33, 633 (2010).
- G. V. Pakhlova, P. N. Pakhlov, and S. I. Eidelman, Exotic charmonium, Phys. Usp. 53, 219 (2010).
- R. Faccini, A. Pilloni, and A. D. Polosa, Exotic heavy quarkonium spectroscopy: A mini-review, Mod. Phys. Lett. A 27, 1230025 (2012).
- X. Liu, An overview of new particles, Chin. Sci. Bull. 59, 3815 (2014).
- A. Hosaka, T. Iijima, K. Miyabayashi, Y. Sakai, and S. Yasui, Exotic hadrons with heavy flavors: , , , and related states, Prog. Theor. Exp. Phys. 2016, 062C01 (2016).
- H. X. Chen, W. Chen, X. Liu, and S. L. Zhu, The hidden-charm pentaquark and tetraquark states, Phys. Rep. 639, 1 (2016).
- J. M. Richard, Exotic hadrons: Review and perspectives, Few-Body Syst. 57, 1185 (2016).
- R. F. Lebed, R. E. Mitchell, and E. S. Swanson, Heavy-quark QCD exotica, Prog. Part. Nucl. Phys. 93, 143 (2017).
- A. Ali, J. S. Lange, and S. Stone, Exotics: Heavy pentaquarks and tetraquarks, Prog. Part. Nucl. Phys. 97, 123 (2017).
- Y. Dong, A. Faessler, and V. E. Lyubovitskij, Description of heavy exotic resonances as molecular states using phenomenological Lagrangians, Prog. Part. Nucl. Phys. 94, 282 (2017).
- S. L. Olsen, T. Skwarnicki, and D. Zieminska, Nonstandard heavy mesons and baryons: Experimental evidence, Rev. Mod. Phys. 90, 015003 (2018).
- F. K. Guo, C. Hanhart, U. G. Meißner, Q. Wang, Q. Zhao, and B. S. Zou, Hadronic molecules, Rev. Mod. Phys. 90, 015004 (2018).
- C. Z. Yuan, The states revisited, Int. J. Mod. Phys. A 33, 1830018 (2018).
- Y. R. Liu, H. X. Chen, W. Chen, X. Liu, and S. L. Zhu, Pentaquark and tetraquark states, Prog. Part. Nucl. Phys. 107, 237 (2019).
- R. M. Albuquerque, J. M. Dias, K. P. Khemchandani, A. Martínez Torres, F. S. Navarra, M. Nielsen, and C. M. Zanetti, QCD sum rules approach to the , and states, J. Phys. G 46, 093002 (2019).
- N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C. P. Shen, C. E. Thomas, A. Vairo, and C. Z. Yuan, The states: Experimental and theoretical status and perspectives, Phys. Rep. 873, 1 (2020).
- Y. Yamaguchi, A. Hosaka, S. Takeuchi, and M. Takizawa, Heavy hadronic molecules with pion exchange and quark core couplings: A guide for practitioners, J. Phys. G 47, 053001 (2020).
- L. Meng, B. Wang, G. J. Wang, and S. L. Zhu, Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules, Phys. Rep. 1019, 1 (2023).
- H. X. Chen, W. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, An updated review of the new hadron states, Rep. Prog. Phys. 86, 026201 (2023).
- R. L. Workman et al. (Particle Data Group), Review of particle physics, Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
- F. Close and C. Downum, On the possibility of deeply bound hadronic molecules from single pion exchange, Phys. Rev. Lett. 102, 242003 (2009).
- F. Close, C. Downum, and C. E. Thomas, Novel charmonium and bottomonium spectroscopies due to deeply bound hadronic molecules from single pion exchange, Phys. Rev. D 81, 074033 (2010).
- T. Ji, X. K. Dong, F. K. Guo, and B. S. Zou, Prediction of a narrow exotic hadronic state with quantum numbers , Phys. Rev. Lett. 129, 102002 (2022).
- I. Tanihata, H. Hamagaki, O. Hashimoto, Y. Shida, N. Yoshikawa, K. Sugimoto, O. Yamakawa, T. Kobayashi, and N. Takahashi, Measurements of interaction cross-sections and nuclear radii in the light -shell region, Phys. Rev. Lett. 55, 2676 (1985).
- T. Nakamura, N. Kobayashi, Y. Kondo, Y. Satou, N. Aoi, H. Baba, S. Deguchi, N. Fukuda, J. Gibelin, N. Inabe et al., Halo structure of the island of inversion nucleus , Phys. Rev. Lett. 103, 262501 (2009).
- K. Tanaka, T. Yamaguchi, T. Suzuki, T. Ohtsubo, M. Fukuda, D. Nishimura, M. Takechi, K. Ogata, A. Ozawa, T. Izumikawa et al., Observation of a large reaction cross section in the drip-line nucleus , Phys. Rev. Lett. 104, 062701 (2010).
- J. Meng and P. Ring, Relativistic Hartree-Bogoliubov description of the neutron halo in , Phys. Rev. Lett. 77, 3963 (1996).
- W. Poschl, D. Vretenar, G. A. Lalazissis, and P. Ring, Relativistic Hartree-Bogolyubov theory with finite range pairing forces in coordinate space: Neutron halo in light nuclei, Phys. Rev. Lett. 79, 3841 (1997).
- N. Sandulescu, L. S. Geng, H. Toki, and G. Hillhouse, Pairing correlations and resonant states in the relativistic mean field theory, Phys. Rev. C 68, 054323 (2003).
- J. Meng and P. Ring, A giant halo at the neutron dripline, Phys. Rev. Lett. 80, 460 (1998).
- J. Meng, H. Toki, J. Y. Zeng, S. Q. Zhang, and S. G. Zhou, Giant halo at the neutron dripline in Ca isotopes in relativistic continuum Hartree-Bogoliubov theory, Phys. Rev. C 65, 041302 (2002).
- J. Terasaki, S. Q. Zhang, S. G. Zhou, and J. Meng, Giant halos in relativistic and nonrelativistic approaches, Phys. Rev. C 74, 054318 (2006).
- M. Grasso, S. Yoshida, N. Sandulescu, and N. Van Giai, Giant neutron halos in the non-relativistic mean field approach, Phys. Rev. C 74, 064317 (2006).
- I. Hamamoto, Interpretation of Coulomb breakup of in terms of deformation, Phys. Rev. C 81, 021304 (2010).
- S. G. Zhou, J. Meng, P. Ring, and E. G. Zhao, Neutron halo in deformed nuclei, Phys. Rev. C 82, 011301 (2010).
- B. Hu, X. L. Chen, Z. G. Luo, P. Z. Huang, S. L. Zhu, P. F. Yu, and X. Liu, Possible heavy molecular states composed of a pair of excited charm-strange mesons, Chin. Phys. C 35, 113 (2011).
- X. Liu, Y. R. Liu, W. Z. Deng, and S. L. Zhu, as a molecular state, Phys. Rev. D 77, 094015 (2008).
- Y. R. Liu, Heavy quark spin selection rules in meson-antimeson states, Phys. Rev. D 88, 074008 (2013).
- L. L. Shen, X. L. Chen, Z. G. Luo, P. Z. Huang, S. L. Zhu, P. F. Yu, and X. Liu, The molecular systems composed of the charmed mesons in the doublet, Eur. Phys. J. C 70, 183 (2010).
- M. T. Li, W. L. Wang, Y. B. Dong, and Z. Y. Zhang, A study of one - and one -wave heavy meson interaction in a chiral quark model, Commun. Theor. Phys. 63, 63 (2015).
- M. T. Li, W. L. Wang, Y. B. Dong, and Z. Y. Zhang, A study of -wave heavy meson interactions in a chiral quark model, arXiv:1303.4140.
- X. K. Dong, F. K. Guo, and B. S. Zou, A survey of heavy-antiheavy hadronic molecules, Prog. Phys. 41, 65 (2021).
- R. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, Predictions of the hidden-charm molecular states with four-quark component, Eur. Phys. J. C 76, 319 (2016).
- X. Liu, Y. R. Liu, W. Z. Deng, and S. L. Zhu, Is a loosely bound molecular state?, Phys. Rev. D 77, 034003 (2008).
- Y. R. Liu, X. Liu, W. Z. Deng, and S. L. Zhu, Is really a molecular state?, Eur. Phys. J. C 56, 63 (2008).
- X. Liu, Z. G. Luo, Y. R. Liu, and S. L. Zhu, and other possible heavy molecular states, Eur. Phys. J. C 61, 411 (2009).
- Z. F. Sun, X. Liu, M. Nielsen, and S. L. Zhu, Hadronic molecules with both open charm and bottom, Phys. Rev. D 85, 094008 (2012).
- F. L. Wang and X. Liu, Exotic double-charm molecular states with hidden or open strangeness and around 4.5–4.7 GeV, Phys. Rev. D 102, 094006 (2020).
- G. J. Ding, Are Y(4260) and are or hadronic molecules?, Phys. Rev. D 79, 014001 (2009).
- G. Burdman and J. F. Donoghue, Union of chiral and heavy quark symmetries, Phys. Lett. B 280, 287 (1992).
- M. B. Wise, Chiral perturbation theory for hadrons containing a heavy quark, Phys. Rev. D 45, R2188 (1992).
- T. M. Yan, H. Y. Cheng, C. Y. Cheung, G. L. Lin, Y. C. Lin, and H. L. Yu, Heavy quark symmetry and chiral dynamics, Phys. Rev. D 46, 1148 (1992); 55, 5851(E) (1997).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevD.110.L051501 for comprehensive information on the coupling constants in Lagrangians, potentials, and methodologies for identifying the poles corresponding to the bound and resonant states through the complex scaling method.
- V. B. Berestetsky, E. M. Lifshitz, and L. P. Pitaevsky, Quantum Electrodynamics (Pergamon, Oxford, 1982), 10.1016/B978-0-08-050346-2.50020-9.
- N. A. Tornqvist, From the deuteron to deusons, an analysis of deuteron—like meson meson bound states, Z. Phys. C 61, 525 (1994).
- N. A. Tornqvist, On deusons or deuteron—like meson meson bound states, Nuovo Cimento A 107, 2471 (1994).
- T. Myo, Y. Kikuchi, H. Masui, and K. Katō, Recent development of complex scaling method for many-body resonances and continua in light nuclei, Prog. Part. Nucl. Phys. 79, 1 (2014).
- T. Myo and K. Kato, Complex scaling: Physics of unbound light nuclei and perspective, Prog. Theor. Exp. Phys. 2020, 12A101 (2020).
- N. Moiseyev, Quantum theory of resonances: Calculating energies, widths and cross-sections by complex scaling, Phys. Rep. 302, 212 (1998).
- G. J. Wang, Z. Yang, J. J. Wu, M. Oka, and S. L. Zhu, New insight into the exotic states strongly coupled with the from the , arXiv:2306.12406.
- Y. S. Ren, G. J. Wang, Z. Yang, and J. J. Wu, Investigation on the bottom analogs of the , arXiv:2310.09836.
- Y. K. Chen, L. Meng, Z. Y. Lin, and S. L. Zhu, Virtual states in the coupled-channel problems with an improved complex scaling method, Phys. Rev. D 109, 034006 (2024).
- J. B. Cheng, Z. Y. Lin, and S. L. Zhu, Double-charm tetraquark under the complex scaling method, Phys. Rev. D 106, 016012 (2022).
- J. B. Cheng, D. x. Zheng, Z. Y. Lin, and S. L. Zhu, Double-charm and hidden-charm hexaquark states under the complex scaling method, Phys. Rev. D 107, 054018 (2023).
- J. B. Cheng, B. L. Huang, Z. Y. Lin, and S. L. Zhu, , and states under the complex scaling method, Eur. Phys. J. C 83, 1071 (2023).
- R. Machleidt, K. Holinde, and C. Elster, The bonn meson exchange model for the nucleon nucleon interaction, Phys. Rep. 149, 1 (1987).
- E. Epelbaum, H. W. Hammer, and U. G. Meissner, Modern theory of nuclear forces, Rev. Mod. Phys. 81, 1773 (2009).
- A. Esposito, A. L. Guerrieri, F. Piccinini, A. Pilloni, and A. D. Polosa, Four-quark hadrons: An updated review, Int. J. Mod. Phys. A 30, 1530002 (2015).
- G. Herzberg, Molecular Spectra and Molecular Structure. I. Spectra of Diatomic Molecules (Van Nostrand Reinhold, New York, 1950).
- S. K. Choi et al. (Belle Collaboration), Observation of a resonance-like structure in the mass distribution in exclusive decays, Phys. Rev. Lett. 100, 142001 (2008).
- K. Chilikin et al. (Belle Collaboration), Experimental constraints on the spin and parity of the , Phys. Rev. D 88, 074026 (2013).
- R. Aaij et al. (LHCb Collaboration), Observation of the resonant character of the state, Phys. Rev. Lett. 112, 222002 (2014).
- T. Barnes, F. E. Close, and E. S. Swanson, Molecular interpretation of the supercharmonium state Z(4475), Phys. Rev. D 91, 014004 (2015).
- J. He and D. Y. Chen, Interpretation of as an isoscalar partner of from interaction, Eur. Phys. J. C 77, 398 (2017).