+++++++ INCIPIT LIBER HADRONIORUM +++++++
If you are interested in the decay modes of radially or orbitally
excited quarkonia you may be interested in these predictions of the
3P0
decay
model. These are derived using the diagrammatic techniques described in
E.S.Ackleh, T.Barnes and
E.S.Swanson,
On the Mechanism of
Open-Flavor Strong Decays , hep-ph/9604355,
PRD54, 6811 (1996).
(See especially App.A for
3P0
model Feynman rules.)
Tables of
numerical partial widths for 374 meson decay
modes
and
the corresponding decay amplitude formulas
are given by T.Barnes, F.E.Close, P.R.Page and E.S.Swanson
in
Higher Quarkonia ,
PRD55, 4157 (1997).
States shown below are
arranged as I=1; I=0; ssbar:
(See note at bottom regarding parameters.)
First here is a set of "standard" light u,d meson decays
(most allowed two-body modes of these S,P qqbars) as a
calibration of the
3P0
model. These use pair production strength
gamma=0.5 and variable wavefunction scale beta. Note the f0(1300)!
"standard" light meson decays
...and here is the D/S ratio test for b1-> wpi that was historically a
major success of the
3P0
model.
classic b1 D/S ratio
Note also the recent E852 measurement of D/S(a1->rho pi) approx -0.15 is
another clear success.
(It is predicted to be -1/2 * D/S (b1->wpi), which agrees with
experiment rather well!)
Now we come to the predictions...
I=1:
2S
3S
2P
1D
I=0:
2S
1P
2P
3P
1D
1F
I=0 ssbar:
1S
2S
1P
1F
These results use SHO wavefunctions with beta (the meson size parameter,
taken to be the same for all three mesons in A->BC)
usually left as a free parameter. Preferred beta values in the literature are
typically about 0.4 GeV for qqbar (q=u,d) and 0.45 GeV for ssbar.
The parameter gamma0
(the pair creation amplitude) is set to 0.5.
A comparison with experiment for
various S- and P-wave nnbar mesons
shows that this is a reasonable parameter
choice for these light resonances.
WARNING:
In the published Higher Quarkonia paper we changed parameters and used
gamma0=0.4 for L>1 and radial states,
because an overestimate of scale was evident at higher masses.
Also, we do not show modes like K1K which have
orbitally excited kaons, with a few exceptions like the L=3 ssbar
states. Usually they are very small. These are evaluated numerically in
Higher Quarkonia.)
Therefore:
If you plan to
use these results I suggest getting numbers from
(What was the name of that paper again?),
PRD55, 4157 (1997)
or
email the authors.
and the interesting decay amplitudes: 
