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

TL;DR

This paper explores the production mechanisms and decay properties of charmed tetraquarks with three light flavors using flavor SU(3) symmetry, proposing experimental tests at LHCb and Belle-II to advance understanding of exotic states and non-perturbative QCD.

Contribution

It introduces a SU(3) symmetry-based framework for analyzing charmed tetraquark production and decay, providing relations for decay widths and CP violation that can be tested experimentally.

Findings

Decay amplitudes parametrized by SU(3) invariant amplitudes

Relations for decay widths and CP violation derived

Potential measurements at LHCb and Belle-II to probe exotic states

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 ${\bf \bar 6 }$ or a ${\bf 15}$ 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 ${\bf \bar 6}$ or ${\bf 15}$ 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.