Modeling charmonium- η decays of JPC=1−− higher charmonia

Abstract

We propose a new model to create a light meson in the heavy quarkonium transition, which is inspired by the Nambu−Jona-Lasinio (NJL) model. Hadronic transitions of J P C = 1 −− higher charmonia with the emission of an η meson are studied in the framework of the proposed model. The model shows its potential to reproduce the observed decay widths and make predictions for the unobserved channels. We present our predictions for the decay width of Ψ → J/ψη and Ψ → h c (1P )η, where Ψ are higher S and D wave vector charmonia, which provide useful references to search for higher charmonia and determine their properties in forthcoming experiments. The predicted branching fraction B(ψ(4415) → h c (1P )η) = 4.62 × 10 −4 is one order of magnitude smaller than the J/ψη channel. Estimates of partial decay width Γ(Y → J/ψη) are given for Y (4360), Y (4390) and Y (4660) by assuming them as cc bound states with quantum numbers 3 3 D 1 , 3 3 D 1 and 5 3 S 1 , respectively. Our results are in favor of these assignments for Y (4360) and Y (4660). The corresponding experimental data for these Y states has large statistical errors which do not provide any constraint on the mixing angle if we introduce S − D mixing. To identify Y (4390), precise measurements on its hadronic branching fraction are required which are eagerly awaited from BESIII. *

Study ofBc→ψ(2S)K,ηDuan1, Yu2 2018Phys. Rev. D3070View full textAdd to dashboardCite

“…For light qq systems, the best value of oscillation frequency from spectroscopy and decays is 0.379 GeV, but for heavy QQ states, it is a bit larger and also has a range ω ¼ 0.4-0.6 GeV in the literature (see Ref. [37] and references therein). According to the quark model theory, studies show that the effective oscillatory parameter ω for higher cc multiplets is smaller than the corresponding lower ones [37], which is based on the fact that the excited states have large spatial extensions.…”

“…[37] and references therein). According to the quark model theory, studies show that the effective oscillatory parameter ω for higher cc multiplets is smaller than the corresponding lower ones [37], which is based on the fact that the excited states have large spatial extensions. For example, in Ref.…”

Interpretation of Y(4390) as an isoscalar partner of Z(4430) from $${D^{*}}(2010){\bar{D}}_1(2420)$$ D ∗

“…The potential kernel V λ 1 λ 2 λ 1 λ 2 obtained in previous section, the partial-wave potential with fixed spin parity J P can be calculated as (6) where η = P P 1 P 2 (−1) J −J 1 −J 2 with P (1,2) and J (1,2) being the parity and spin of constituent 1 or 2. Here without loss of generality the initial and final relative momenta can be chosen as p = (0, 0, p) and p = (p sin θ, 0, p cos θ), and the d J λλ (θ ) is the Wigner d-matrix.…”

“…After observation of Y (4390), a few interpretations of its internal structure were proposed, such as a 3 3 D 1 charmonium state in the conventional quark model [2]. A QCD sum rule calculation favors an assignment of Y (4390) as a DD 1 molecular state [3].…”

Combined fit to the $$e^+e^-\rightarrow \pi ^{+}\pi ^{-}J/\psi $$ e + e - →

“…If we take the electron partial width (Y (4660) → e + e − ) = 0.99 keV [23], which is also the average value from different theoretical predictions, we can get the branching fraction B(Y (4660) → π + π − ψ(3686)) = (3.1 ± 0.6 ± 0.7) × 10 −3 − (9.4 ± 1.0 ± 1.2)×10 −3 . Maybe some exotic structures are due to the conventional charmonium, and these results can provide more useful information for theoretical models.…”