The σ and ρ coupling constants for the charmed and beauty mesons · arXivDesk1912.11622Dec 25, 201919 pages. 10 figures. Discussion part was revised
The σ and ρ coupling constants for the charmed and beauty mesons
Hee-Jin Kim, Hyun-Chul Kim
Abstract
We investigate the σ and ρ coupling constants for the DD and D∗D∗ interactions, based on correlated
exchange in the
and
interactions. Starting from the
DDˉ→ππ and
D∗Dˉ∗→ππ amplitudes derived in the pseudophysical region (
4mπ2≤t≤52mπ2 ) with the
- and
-wave
correlations considered, we obtain the spectral functions for the
and
D∗D∗→D∗D∗ amplitude with correlated
- and
-wave
exchanges. Using the pole approximation, we estimate the
,
,
, and
coupling constants. We extended phenomenologically the present results to the region in
and compare them with those from lattice QCD. The results are also compared with those of other models. We also present the results of the
,
,
, and
coupling constants. We observe that it is unlikely that the
and
coupling constants for the
and
mesons are the same as those for the
and
mesons. On the contrary, they are quite larger than those for the charmed mesons.