Scrutinizing the Light Scalar Quarkonia from LSR at Higher Orders - Archive ouverte HAL
Article Dans Une Revue Nuclear Physics A Année : 2023

Scrutinizing the Light Scalar Quarkonia from LSR at Higher Orders

R Albuquerque
  • Fonction : Auteur
D Rabetiarivony
  • Fonction : Auteur

Résumé

We scrutinize, improve some determinations of the masses and couplings of light scalar quarkonia ($\bar qq$ and four-quark states) and present new results for the $\pi^+\pi^-,K^+K^-,\dots$ molecules using QCD Laplace Sum Rule (LSR) truncated at the $D=6$ dimension vacuum condensates. We pay a special attention on the higher order perturbative (PT) corrections up to the (estimated) ${\cal O}(\alpha_s^5)$ which improve the quality of the analysis. We request that the optimal results obey the rigorous constraint: {\it Resonance $\geq$ QCD continuum contributions ($R_{P/C}\geq 1$)} in the LSR which excludes a Breit-Wigner / on-shell (not to be confused with a complex pole) scalar meson mass around (500-600) MeV obtained for values [$t_c\leq (1\sim 1.5)$ GeV$^2$] of the QCD continuum threshold. Mass-splittings due to $SU3$ breakings are small. We discuss the different assignements of the observed scalar mesons below 2 GeV in the Conclusions where the $I=0$ states are compared with the scalar gluonia. The results are compiled in Table 3 to 6.

Dates et versions

hal-04095043 , version 1 (11-05-2023)

Identifiants

Citer

R Albuquerque, S Narison, D Rabetiarivony. Scrutinizing the Light Scalar Quarkonia from LSR at Higher Orders. Nuclear Physics A, 2023, 1039, pp.122743. ⟨10.1016/j.nuclphysa.2023.122743⟩. ⟨hal-04095043⟩
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