New mass relations for heavy quarkonia

Abstract

By assuming the existence of (quasi)-linear Regge trajectories for heavy quarkonia in the low energy region, we derive a new, sixth power, meson mass relation which shows good agreement with experiment for both charmed and beauty mesons. This relation may be reduced to a quadratic Gell-Mann-Okubo

Erratum:B→V,A,Ttensor form factors in the covariant light-front approach: Implications on radiativeCheng1, Chua2 2010Phys. Rev. D

“…From the early experimental information on masses and the partial rates of K 1 (1270) and K 1 (1400), Suzuki found two possible solutions with a two-fold ambiguity, |θ K 1 | ≈ 33 • and 57 • [29]. A similar constraint 35 • < ∼ |θ K 1 | < ∼ 55 • was obtained in [30] based solely on two parameters: the mass difference of the a 1 and b 1 mesons and the ratio of the constituent quark masses. An analysis of τ → K 1 (1270)ν τ and K 1 (1400)ν τ decays also yielded the mixing angle to be ≈ 37 • or 58 • with a two-fold ambiguity [31].…”

Regge trajectories for heavy quarkonia from the quadratic form of the spinless Salpeter-type equation

“…(23) and (25) and fitting experimental data, we assume that the heavy quarkonium Regge trajectory take the parameterized form…”

Penguin-dominatedB→ϕK1(1270)andϕK1(Liu1, Xiao2 2014Phys. Rev. D12080View full textAdd to dashboardCite

“…There exist several estimations on the mixing angle θ K1 in the literature [43][44][45][46][47][48]. Various phenomenological studies indicate that the K 1A − K 1B mixing angle θ K1 is around either 33…”