Predicting positive parity $B_s$ mesons from lattice QCD

Abstract

We determine the spectrum of $B_s$ 1P states using lattice QCD. For the $B_{s1}(5830)$ and $B_{s2}^{\ast }(5840)$ mesons, the results are in good agreement with the experimental values. Two further mesons are expected in the quantum channels $J^P=0^{+}$ and $1^{+}$ near the $BK$ and $B^{\ast }K$ thresholds. A combination of quark-antiquark and $B^{(\ast )}$ meson-Kaon interpolating fields are used to determine the mass of two QCD bound states below the $B^{(\ast )}K$ threshold, with the assumption that mixing with $B_s^{(\ast )}\eta$ and isospin-violating decays to $B_s^{(\ast )}\pi$ are negligible. We predict a $J^P=0^{+}$ bound state $B_{s0}$ with mass $m_{B_{s0}}=5.711(13)(19)$ GeV. With further assumptions motivated theoretically by the heavy quark limit, a bound state with $m_{B_{s1}}=5.750(17)(19)$ GeV is predicted in the $J^P=1^{+}$ channel. The results from our first principles calculation are compared to previous model-based estimates.

5 pages, 2 figures; Final version

References in corpus (14)

• Big-Bang Nucleosynthesis
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Dynamically generated 1^+ heavy mesons
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• New lattice action for heavy quarks
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• Light meson mass dependence of the positive parity heavy-strange mesons
• Signatures of S-wave bound-state formation in finite volume
• Tuning Fermilab Heavy Quarks in 2+1 Flavor Lattice QCD with Application to Hyperfine Splittings
• Excitations of single-beauty hadrons
• Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B_{(s)0}^{\ast }$ and $B_{(s)1}^{\prime }$ Mesons
• Energies of B_s meson excited states - a lattice study
• Static-light mesons on a dynamical anisotropic lattice

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