Abstract

We analyze strong decays of excited charmed and beauty mesons into a light vector meson, exploiting the effective field theory based on heavy quark (HQ) symmetries for heavy mesons, and on the hidden gauge symmetry to incorporate light vector mesons. HQ symmetries allow to classify the heavy mesons in spin doublets, and to relate decays of excited states. We build effective Lagrangian terms governing the ${\cal H}_i \to P^{(*)} V$ modes, with ${\cal H}_i$ an excited $s$, $p$, $d$ and $f$-wave heavy-light quark meson, $P,\,P^*$ the lowest-lying $J^P=(0^-,\,1^-)$ heavy-light mesons, and V a light vector meson. Predictions are provided for ratios of decay widths that are independent of the strong couplings in the effective Lagrangian terms. A classification of the newly observed heavy-light mesons is proposed.

Highlights

  • Great progress has been achieved in heavy hadron spectroscopy, thanks to the efforts of several experimental groups at different facilities which have provided new pieces of information [1]

  • Prompt production allows us to establish if a state has natural (JP 1⁄4 0þ; 1−; 2þ; ...) or unnatural (JP 1⁄4 0−; 1þ; 2−; ...) parity, while spin-parity can be determined by Dalitz plot analyses in B decay production

  • This relation is shown for V 1⁄4 ρ in Fig. 4, varying the mass mDof JP 1⁄4 0− radial excitation in the range [2900, 3200] MeV, and setting the spin splitting mD Ã − mD 1⁄4 40 Æ 20 MeV

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Summary

INTRODUCTION

Great progress has been achieved in heavy hadron spectroscopy, thanks to the efforts of several experimental groups at different facilities which have provided new pieces of information [1]. Experimental observations are less abundant in the case of beauty mesons: the established states are the two lowest-lying (1S) states and two among the four 1P orbital excitations, both with and without strangeness [2]. In [16] a comprehensive analysis of the open charm and open beauty mesons was performed based on the classification scheme in the heavy quark limit, attempting to fit the observed states in this scheme. If the resonance mass is large enough, several decay channels are open, in particular those with a light final vector meson which provide an important new piece of information.

Heavy-light meson decays to light pseudoscalar mesons
Incorporating light vector mesons
EFFECTIVE LAGRANGIAN TERMS AND
NUMERICAL ANALYSIS
States in Hdoublets
States in X doublets
States in X0 doublet
More about DÃ2ð3000Þ
X doublet
X0 doublet
CONCLUSIONS
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