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arXiv · 2203.14224

Tests of the Z_c-like Laplace Sum Rule (LSR) results using FESR at NLO

R. M. Albuquerque·S. Narison·D. Rabetiarivony
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Abstract

In this note, we use local duality Finite Energy Sum Rule (FESR) to test the validity of the Laplace sum rules (LSR) results truncated at the dimension-six condensates for the estimates of the masses and couplings of the Z_c-like ground states in Ref.1 by taking the example of the D^*D molecule configuration. We confirm the existence of an eventual (D^*D)_1 radial excitation with a mass around 5700 MeV and coupling of 197(25) keV to the current which may mask the eventual Z_c(4430) radial excitation candidate (named (D^*D)_0 in Ref.1) having a relatively small coupling f_{(D^*D)_0}=46(56) keV. We add more explanations on the estimates in Ref.1 from LSR and comment the results in Ref.2.

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R. M. Albuquerque, S. Narison, D. Rabetiarivony. 2022-03-27. Tests of the Z_c-like Laplace Sum Rule (LSR) results using FESR at NLO. https://doi.org/10.1103/physrevd.105.114035

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