B_s mesons from the lattice: Excited states

TL;DR

This paper investigates the energy spectrum and radial distributions of excited B_s meson states using lattice QCD simulations, exploring their properties and potential narrowness, with comparisons to experimental data and previous studies.

Contribution

It extends lattice QCD studies to P-wave B_s mesons, analyzing their energies and radial distributions across various lattice configurations and interpolating to physical quark masses.

Findings

Lowest P-wave B_s state may lie below the BK threshold

Radial distributions for P-wave states are characterized

Energy spectrum varies with lattice parameters

Abstract

The energies of different angular momentum states of a heavy-light meson were measured on a lattice in PRD 58, 34506 (1998) . We have now continued this study using several different lattices, quenched and unquenched, that have different physical lattice sizes, clover coefficients, hopping parameters and quark-gluon couplings. The heavy quark is taken to be infinitely heavy, whereas the light quark mass is approximately that of the strange quark. By interpolating in the heavy and light quark masses we can thus compare the lattice results with the B_s meson. Most interesting is the lowest P-wave B_s state, since it is possible that it lies below the BK threshold and hence is very narrow. Unfortunately, there are no experimental results on P-wave B_s mesons available at present. In addition to the energy spectrum, we measured earlier also vector (charge) and scalar (matter) radial distributions of the light quark in the S-wave states of a heavy-light meson on a lattice (PRD 65, 014512 (2002) and Eur. Phys. J. C 28, 79 (2003)). Now we are extending the study of radial distributions to P-wave states.