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Isospin-violating strong decays of scalar single-heavy tetraquarks

Thomas Gutsche¹, Mikhail A. Ivanov², Jürgen G. Körner³, and Valery E. Lyubovitskij^1,4,5

¹Institut für Theoretische Physik, Universität Tübingen, Kepler Center for Astro and Particle Physics, Auf der Morgenstelle 14, D-72076 Tübingen, Germany
²Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
³PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität, D-55099 Mainz, Germany
⁴Department of Physics, Tomsk State University, 634050 Tomsk, Russia
⁵Laboratory of Particle Physics, Mathematical Physics Department, Tomsk Polytechnic University, Lenin Avenue 30, 634050 Tomsk, Russia

Phys. Rev. D 94, 094012 – Published 14 November, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.094012

Abstract

We present a study of the isospin-violating one-pion strong decays of single heavy tetraquarks $X_{Q} = X (s q \bar{q} \bar{Q})$ , $Q = c$ , $b$ , and $q = u$ , $d$ with spin-parity $J^{P} = 0^{+}$ . We assume that the tetraquarks have the configuration of a color diquark and an antidiquark. Three mechanisms of isospin violation can contribute to the decay rate: (1) mixing of the $X (s u \bar{u} \bar{Q})$ and $X (s d \bar{d} \bar{Q})$ tetraquark currents, (2) an explicit $m_{d} - m_{u}$ quark mass difference in the quark diagrams describing the corresponding decay transitions, and (3) $π^{0} - η$ mixing in the final state. Our main results are as follows: (1) It is quite likely that the investigated tetraquark states are isosinglet states with a small admixture of an isotriplet component; (2) The first isospin-breaking mechanism affects the decay rather more significantly than the others; (3) Our calculations contain a size parameter $Λ_{X_{Q}}$ , characterizing the distribution of the quarks in the tetraquark state $X_{Q}$ . Absolute decay rates depend very much on the choice of $Λ_{X_{Q}}$ , varied from 1 to 2 GeV, reflecting the compactness of the multiquark system.

Physics Subject Headings (PhySH)

Particle interactions

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References (11)

A. Faessler, T. Gutsche, V. E. Lyubovitskij, and Y. L. Ma, Phys. Rev. D 76, 014005 (2007).
A. Faessler, T. Gutsche, V. E. Lyubovitskij, and Y. L. Ma, Phys. Rev. D 76, 114008 (2007).
A. Faessler, T. Gutsche, V. E. Lyubovitskij, and Y. L. Ma, Phys. Rev. D 77, 114013 (2008).
K. A. Olive et al. (Particle Data Group Collaboration), Chin. Phys. C 38, 090001 (2014).
S.-K. Choi et al. (Belle Collaboration), Phys. Rev. D 91, 092011 (2015); 92, 039905 (2015).
S. Dubnicka, A. Z. Dubnickova, M. A. Ivanov, and J. G. Körner, Phys. Rev. D 81, 114007 (2010); S. Dubnicka, A. Z. Dubnickova, M. A. Ivanov, J. G. Körner, and G. G. Saidullaeva, AIP Conf. Proc. 1343, 385 (2011); S. Dubnicka, A. Z. Dubnickova, M. A. Ivanov, J. G. Körner, P. Santorelli, and G. G. Saidullaeva, Phys. Rev. D 84, 014006 (2011).
M. A. Ivanov, M. P. Locher, and V. E. Lyubovitskij, Few-Body Syst. 21, 131 (1996); M. A. Ivanov, V. E. Lyubovitskij, J. G. Körner, and P. Kroll, Phys. Rev. D 56, 348 (1997); I. V. Anikin, M. A. Ivanov, N. B. Kulimanova, and V. E. Lyubovitskij, Z. Phys. C 65, 681 (1995); M. A. Ivanov, J. G. Körner, V. E. Lyubovitskij, and A. G. Rusetsky, Phys. Rev. D 60, 094002 (1999); T. Branz, A. Faessler, T. Gutsche, M. A. Ivanov, J. G. Körner, and V. E. Lyubovitskij, 81, 034010 (2010); T. Gutsche, M. A. Ivanov, J. G. Körner, V. E. Lyubovitskij, and P. Santorelli, 87, 074031 (2013).
M. Nielsen, F. S. Navarra, and S. H. Lee, Phys. Rep. 497, 41 (2010).
M. A. Ivanov, J. G. Korner, V. E. Lyubovitskij, M. A. Pisarev, and A. G. Rusetsky, Phys. Rev. D 61, 114010 (2000).
J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985).
T. Gutsche, F. Goerke, M. A. Ivanov, J. G. Körner, V. E. Lyubovitskij, and P. Santorelli, arXiv:1608.04656 [Phys. Rev. D (to be published)].

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Isospin-violating strong decays of scalar single-heavy tetraquarks

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