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Hadron Spectrum with Wilson fermions

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abstract

We present results of a high statistics study of the quenched spectrum using Wilson fermions at $\beta=6.0$ on $32^3 \times 64$ lattices. We calculate the masses of mesons and baryons composed of both degenerate and non-degenerate quarks. Using non-degenerate quark combinations allows us to study baryon mass splittings in detail. We find significant deviations from the lowest order chiral expansion, deviations that are consistent with the expectations of quenched chiral perturbation theory. We find that there is a $\sim 20%$ systematic error in the extracted value of $m_s$, depending on the meson mass ratio used to set its value. Using the largest estimate of $m_s$ we find that the extrapolated octet mass-splittings are in agreement with the experimental values, as is $M_\Delta - M_N$, while the decuplet splittings are 30% smaller than experiment. Combining our results with data from the GF11 collaboration we find considerable ambiguity in the extrapolation to the continuum limit. Our preferred values are $M_N / M_\rho = 1.38(7)$ and $M_\Delta / M_\rho = 1.73(10)$, suggesting that the quenched approximation is good to only $\sim 10-15%$. We also analyze the $O(ma)$ discretization errors in heavy quark masses.

fields

hep-lat 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Radiative decay of heavy-light mesons from lattice QCD

hep-lat · 2026-02-08 · unverdicted · novelty 7.0

Lattice QCD on physical-pion-mass ensembles yields coupling constants g_D*+D+gamma = -0.204(22) GeV^-1, g_D*0D0gamma = 1.73(37) GeV^-1, and g_Ds*+Ds+gamma = -0.120(14) GeV^-1, with corresponding decay widths.

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  • Radiative decay of heavy-light mesons from lattice QCD hep-lat · 2026-02-08 · unverdicted · none · ref 19 · internal anchor

    Lattice QCD on physical-pion-mass ensembles yields coupling constants g_D*+D+gamma = -0.204(22) GeV^-1, g_D*0D0gamma = 1.73(37) GeV^-1, and g_Ds*+Ds+gamma = -0.120(14) GeV^-1, with corresponding decay widths.