New Dynamics (?) of J/ψJ/ψ and ΥΥ families from QCD Laplace sum rules at NLO
Abstract
Motivated by the recent CMS data on a family of 2++ states from J/ψJ/ψ mass spectrum, we determine the masses of the 2++ J/ψJ/ψ molecule and ccc̅c̅ states, by using (for the first time) the two lowest QCD Laplace Sum Rules (LSR) moment-ratios within the standard optimization criteria with respect to the LSR variable τ and to the QCD continuum threshold tc implemented by the RP/C requirement that the lowest ground state (Pole) contribution to the LSR is larger than the QCD continuum one. Including factorized NLO perturbative and LO G4 gluon condensates in the OPE, we obtain the the lowest ground state masses: M2++J/ψJ/ψ=6521(69) MeV and M2++ccc̅ c̅=6347(99) MeV with the couplings\,: f2++J/ψJ/ψ=96(14) keV and f2++ccc̅ c̅= 151(29) keV normalized as fπ=93 MeV. The masses of the first radial excitations are :M2++radJ/ψJ/ψ=7987(251 ) MeV and M2++radccc̅ c̅=7739(221) MeV indicating a mass-splitting about 2.5 (Mψ(2S)−MJ/ψ). The decay constants are f2++radJ/ψJ/ψ=248(70) keV and: $f^{2^{++}{\rm rad}}_{cc\bar c\bar c}=453(96) $ keV which are (unexpectedly) larger than the lowest ground state ones. These features may indicate some new dynamics compared to ordinary c̅c states. We extend the analysis to the 0++ states and to the ΥΥ family where the results are compiled in Tables 2 and 3. We critically review some other QCD spectral sum rules (QSSR) results. We suggest that the X(6600) might be a molecule ground state. Using a two-component mass mixing scheme, the X(6900) and X(7100) might be interpreted as a mixture of the ccc̅c̅ lowest ground state with its 1st radial excitation via an angle θ=50.
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BibTeX
@misc{narison2026dynamics,
title = {{New Dynamics (?) of $J/ψJ/ψ$ and $ΥΥ$ families from QCD Laplace sum rules at NLO}},
author = {S Narison and Andry Rabemananjara and D Rabetiarivony},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18906},
eprint = {2609.18906},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05763111v1},
}
RIS
TY - UNPB
TI - New Dynamics (?) of J/ψJ/ψ and ΥΥ families from QCD Laplace sum rules at NLO
AU - S Narison
AU - Andry Rabemananjara
AU - D Rabetiarivony
PY - 2026
DA - 2026/09/16
PB - HAL
DO - 10.48550/arxiv.2609.18906
UR - https://hal.science/hal-05763111v1
AB - Motivated by the recent CMS data on a family of 2^++ states from J/ψJ/ψ mass spectrum, we determine the masses of the 2^++ J/ψJ/ψ molecule and ccc̅c̅ states, by using (for the first time) the two lowest QCD Laplace Sum Rules (LSR) moment-ratios within the standard optimization criteria with respect to the LSR variable τ and to the QCD continuum threshold t_c implemented by the R_P/C requirement that the lowest ground state (Pole) contribution to the LSR is larger than the QCD continuum one. Including factorized NLO perturbative and LO G^4 gluon condensates in the OPE, we obtain the the lowest ground state masses: M^2^++_J/ψJ/ψ=6521(69) MeV and M^2^++_ccc̅ c̅=6347(99) MeV with the couplings\,: f^2^++_J/ψJ/ψ=96(14) keV and f^2^++_ccc̅ c̅= 151(29) keV normalized as f_π=93 MeV. The masses of the first radial excitations are :M^2^++rad_J/ψJ/ψ=7987(251 ) MeV and M^2^++rad_ccc̅ c̅=7739(221) MeV indicating a mass-splitting about 2.5 (M_ψ(2S)−M_J/ψ). The decay constants are f^2^++rad_J/ψJ/ψ=248(70) keV and: $f^{2^{++}{\rm rad}}_{cc\bar c\bar c}=453(96) $ keV which are (unexpectedly) larger than the lowest ground state ones. These features may indicate some new dynamics compared to ordinary c̅c states. We extend the analysis to the 0^++ states and to the ΥΥ family where the results are compiled in Tables 2 and 3. We critically review some other QCD spectral sum rules (QSSR) results. We suggest that the X(6600) might be a molecule ground state. Using a two-component mass mixing scheme, the X(6900) and X(7100) might be interpreted as a mixture of the ccc̅c̅ lowest ground state with its 1st radial excitation via an angle θ=5^0.
ER -