<p>Excited state spectra of <i>B</i>, <i>B</i><sub><i>s</i></sub> and <i>B</i><sub><i>c</i></sub> mesons are computed using lattice QCD. Working with a large basis of carefully constructed, approximately-local <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi>q</mi> <mover accent="true"> <mi>q</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( q\overline{q} \)</EquationSource> </InlineEquation>-like operators we determine a rich spectrum of states up to <i>J</i> = 4 in <i>B</i>, <i>B</i><sub><i>s</i></sub> and <i>B</i><sub><i>c</i></sub>, that can be grouped into patterns matching those of the quark model. In addition, hybrid-like states are identified at approximately 1500 MeV above the ground states in each of <i>B</i>, <i>B</i><sub><i>s</i></sub> and <i>B</i><sub><i>c</i></sub>, in a multiplet pattern already found in similar computations at a range of quark masses spanning light to bottom. This study is performed using an anisotropic, relativistic Wilson-clover action at a single spatial lattice spacing of <i>a</i><sub><i>s</i></sub> ≈ 0.12 fm and with a light-quark mass corresponding to <i>m</i><sub><i>π</i></sub> ≈ 391 MeV. We find good agreement with experimental results where known and discuss prospects for further work in interesting <i>J</i><sup><i>P</i></sup> quantum numbers.</p>

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Highly excited B, Bs and Bc meson spectroscopy from lattice QCD

  • Luke Gayer,
  • Sinéad M. Ryan,
  • David J. Wilson

摘要

Excited state spectra of B, Bs and Bc mesons are computed using lattice QCD. Working with a large basis of carefully constructed, approximately-local q q ¯ \( q\overline{q} \) -like operators we determine a rich spectrum of states up to J = 4 in B, Bs and Bc, that can be grouped into patterns matching those of the quark model. In addition, hybrid-like states are identified at approximately 1500 MeV above the ground states in each of B, Bs and Bc, in a multiplet pattern already found in similar computations at a range of quark masses spanning light to bottom. This study is performed using an anisotropic, relativistic Wilson-clover action at a single spatial lattice spacing of as ≈ 0.12 fm and with a light-quark mass corresponding to mπ ≈ 391 MeV. We find good agreement with experimental results where known and discuss prospects for further work in interesting JP quantum numbers.