References - Bogoliubov Laboratory of Theoretical Physics - JINR

where all values are in MeV .
We define the ”bare” mass values MN and MS devoid of the strong annihilation contri-
butions via
MN = Ma0,MS 2 =2MK∗ 2 2
0 − Ma0
We note that the second relation is alike to the S-wave vector quarkonia, but we would
like to stress the opposite mass hierarchy sequence
M 2 (S) = ±0.496|S >+0.868|N >, (6)
|f0(1370) >= ∓0.496|N >+0.868|S >
The choice of signs remains to be made on the physical grounds. The sensitive check of
Eqs.(5) and (6) provides the radiative and hadronic decays of J/Ψ-resonance
˜Γ(J/Ψ → γ + f0(1506))
˜Γ(J/Ψ → γ + f0(1370)) = (.868√2 ± .496) 2
(∓.496 √ ≈ 107(.22) (7)
2+.868) 2
˜Γ(J/Ψ → ω(780) + f0(1710))
˜Γ(J/Ψ → φ(1020) + f0(1710)) =
1
tan 2 (θV )
� 2.58. (8)
We define the ”reduced” width by ˜ Γ(A → B + C) =(Γ(A → B + C))/| � k(A → B + C)| 3 ,
� k(A → B + C) being the 3-momentum of final particles, B and C, intherestframe
62