A subtraction formula is presented to eliminate infrared divergences in light-quark propagators for QCD sum rules at the propagator level.
Probing Excited $q\bar{q}$ Mesons via QCD Sum Rules
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We present a systematic study of the masses of light excited $q\bar{q}$ mesons using QCD sum rules at next-to-leading order (NLO). To probe excited states, we construct several interpolating currents with covariant derivatives inserted. The calculation is carried out up to dimension-8 condensates, including NLO perturbative and $m\langle\bar{q}q\rangle$ corrections. Employing Gaussian sum rules, we obtain several $J^P=2^\pm$ nonets with masses that agree well with experiments. Several $J=0,1$ states compatible with experiments are also obtained using both Gaussian and Laplace sum rules. In particular, the $J^{PC}=2^{++}$ current couples to two distinct $2^{++}$ resonances. This work demonstrates the efficacy of operators with covariant derivatives for studying excited hadrons.
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hep-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Ω(2012) is interpreted as a Ξ(1530)K molecular state with mass 2.00 ± 0.15 GeV and total decay width 0.96 MeV.
citing papers explorer
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Subtraction of infrared divergences in light-quark QCD sum rules
A subtraction formula is presented to eliminate infrared divergences in light-quark propagators for QCD sum rules at the propagator level.
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Interpretation of $\Omega(2012)$ as a $\Xi(1530)K$ molecular state
Ω(2012) is interpreted as a Ξ(1530)K molecular state with mass 2.00 ± 0.15 GeV and total decay width 0.96 MeV.