Production of Charmed Tetraquarks from $B_c$ and $B$ decays

Abstract

Hadronic states composed of multi-quark flavors may exist in reality since they are not prohibited by QCD. Compact four quark systems of color singlet are classified as tetraquarks. To understand the properties of these states, more theoretical and experimental efforts are needed. In this work, we study charmed tetraquarks with three light flavors using flavor $SU(3)$ symmetry. States with three different light quarks must be in a $\bar{6}$ or a $15$ multiplet. We investigate the production of charmed tetraquarks $X_c$ in $B\to X_c({\overline{X}}_c)P$ and $B_c\to X_{c}P$ decays. Whether the states with three light quarks belong to $\bar{6}$ or $15$ can be determined by studying various tetraquark $B$ and $B_c$ decays. We demonstrate that the decay amplitudes for these decays can be parametrized by a few irreducible SU(3) invariant amplitudes. We then derive relations for decay widths and CP violating rate difference which can be examined experimentally. Although no experimental measurement is available yet, they might be accessed at the ongoing and forthcoming experiments like the LHCb and Belle-II. Measurements of these observables can not only provide useful information for the study of exotics spectroscopy but are also valuable information towards a better understanding of some non-perturbative aspects of QCD.

14 pages

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• Interpretation of the newly observed ${\Omega }_c^0$ resonances
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• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Weak Decays of Triply Heavy Baryons
• Weak Decays of Stable Doubly Heavy Tetraquark States
• Branching fractions of $B^{-}\to D^{-}{X}_{0,1}(2900)$ and their implications
• Relativistic corrections to the form factors of $B_c$ into $P$-wave orbitally excited charmonium
• Doubly charmed tetraquarks in a diquark-antidiquark model
• Fully Heavy Tetraquark $bb\bar{c}\bar{c}$: Lifetimes and Weak Decays
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• Next-to-leading order QCD calculation of $B_c$ to charmonium tensor form factors
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• SU(3) analysis of fully-light tetraquarks in heavy meson weak decays
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• Form factors for semileptonic $B_c$ decays into ${\eta }^{{(}^{\prime })}$ and Glueball
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