LCSR analysis of compact pentaquarks yields μ_u/μ_d = -2 for all currents and μ_c = 0 for one current, with numerical moments of order 1-3 μ_N that differ in flavor decomposition from molecular calculations.
Quark condensate for various heavy flavors
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abstract
The quark condensate is calculated within the world-line effective-action formalism, by using for the Wilson loop an ansatz provided by the stochastic vacuum model. Starting with the relation between the quark and the gluon condensates in the heavy-quark limit, we diminish the current quark mass down to the value of the inverse vacuum correlation length, finding in this way a 64%-decrease in the absolute value of the quark condensate. In particular, we find that the conventional formula for the heavy-quark condensate cannot be applied to the c-quark, and that the corrections to this formula can reach 23% even in the case of the b-quark. We also demonstrate that, for an exponential parametrization of the two-point correlation function of gluonic field strengths, the quark condensate does not depend on the non-confining non-perturbative interactions of the stochastic background Yang-Mills fields.
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Analytic electromagnetic signatures of compact pentaquark structure: A multi-current QCD light-cone sum rules analysis of the $P_{\psi s}^{\Lambda}$ states
LCSR analysis of compact pentaquarks yields μ_u/μ_d = -2 for all currents and μ_c = 0 for one current, with numerical moments of order 1-3 μ_N that differ in flavor decomposition from molecular calculations.