Precise Omega baryons from lattice QCD
arxiv(2024)
摘要
In this paper we determine the masses of I(J^P)=0(3/2^+) and
0(3/2^-) Ω-baryon ground states using lattice QCD. We
utilise Wilson-clover ensembles with 2+1 dynamical quark flavours generated
by the CLS consortium along a trajectory with a constant trace of the
quark-mass matrix. We show that N^3LO SU(3)_f chiral perturbation
theory expressions describe the ground-state masses with positive-parity well,
and we use them to set the lattice scale. Methodologically, our combination of
gauge-fixed wall sources and the generalized Pencil of Functions allows for
high-precision determinations of the lattice spacing at a relative error of
around 0.3% with controlled excited-state contamination. The fit we perform
allows for the continuum value of t_0 to vary, thereby determining this
quantity with a comparable level of precision to that of the lattice scale.
Using the resulting scales our measurement of the negative-parity
Ω^3/2^- state is found to be consistent with the recently-discovered
Ω(2012)^-, which can therefore be assigned the quantum numbers
I(J^P)=0(3/2^-).
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