The chiral transitions in heavy-light mesons

Abstract

The mass shifts of the $P$-wave $D_s$ and $B_s$ mesons due to coupling to $DK$, $D^{\ast }K$ and $BK$, $B^{\ast }K$ channels are studied using the chiral quark-pion Lagrangian without fitting parameters. The strong mass shifts down $\sim 140$ MeV and $\sim 100$ MeV for $D_s^{\ast }(0^{+})$ and $D_s(1^{{+}^{\prime }})$ and $\sim 100$ MeV for $B_s^{\ast }(0^{+})$ and $B_s(1^{{+}^{\prime }})$ are calculated. Two factors are essential for large mass shifts: strong coupling of the $0^{+}$ and $1^{{+}^{\prime }}$ states to the $S$-wave decay channel, containing a Nambu-Goldstone meson, and the chiral flip transitions due to the bispinor structure of both heavy-light mesons. The masses $M(B_s^{\ast }(0^{+}))=5695(10)$ MeV and $M(B_s(1^{{+}^{\prime }}))=5730(15)$ MeV,very close to $M(B(0^{+}))$ and $M(B(1^{{+}^{\prime }}))$, are predicted. Experimental limit on the width $\Gamma (D_{s1}(2536))<2.3$ MeV puts strong restrictions on admittable mixing angle between the $1^{+}$ and $1^{{+}^{\prime }}$ states, $|\varphi |<6^{\circ }$, which corresponds to the mixing angle $\theta$ between the ${}^3{P}_1$ and ${}^1{P}_1$ states, $29^{\circ }<\theta <41^{\circ }$.

30 pages, 11 tables, 7 figures; ReVTeX 4; submitted to Phys. Rev. D

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• Exotic mesons with hidden bottom near thresholds
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• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• Spin-dependent interactions in quarkonia
• Masses of Scalar and Axial-Vector B Mesons Revisited
• Structure of the $(0^{+},1^{+})$ mesons $B_{s0}$ and $B_{s1}$, and the strong coupling constants $g_{B_{s0}BK}$ and $g_{B_{s1}{B}^{\ast }K}$
• Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B_{(s)0}^{\ast }$ and $B_{(s)1}^{\prime }$ Mesons
• Magnetic moments of mesons
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Quasi-bound states in the continuum: a dynamical coupled-channel calculation of axial-vector charmed mesons
• The mixing of $D_{s1}(2460)$ and $D_{s1}(2536)$
• Chiral Lagrangian and chiral quark model from confinement in QCD
• The mass spectrum and strong decay properties of the charmed-strange mesons within Godfrey-Isgur model considering the coupled-channel effects
• Strong decays $B_{s0}\to B_s\pi$ and $B_{s1}\to B_s^{\ast }\pi$ with light-cone QCD sum rules
• Dynamical suppression of the spin-orbit interaction in hadrons
• Radiative decays of the $(0^{+},1^{+})$ strange-bottom mesons
• U(5) Nambu-Jona-Lasinio model with flavor dependent coupling constants: pseudoscalar and scalar mesons masses
• Probing $D_{s0}^{\ast }(2317)$ in the decays of $B$ to two charmed mesons
• Observation of the radiative decay $D_s(2317{)}^{+}\to D_s^{\ast }\gamma$
• Chiral shifts in heavy-light mesons