HADRON2023

A new look at the Pcs states from a molecular perspective.

5 Jun 2023, 15:30

20m

DAD - Room 4H (Genova, Italy)

Contributed Exotic hadrons and candidates Exotic hadrons and candidates

Speaker

Albert Feijoo (IFIC (CSIC-UV))

Description

We have a look at the $P_{cs}$ states generated from the interaction of ${\overline{D}}^{(\ast )}{\mathrm{\Xi }}_c^{(\prime \ast )}$ coupled channels.
We consider the blocks of pseudoscalar-baryon $({\frac{1}{2}}^{+},{\frac{3}{2}}^{+})$ and vector-baryon $({\frac{1}{2}}^{+},{\frac{3}{2}}^{+})$,
and find $10$ resonant states coupling mostly to $\overline{D}{\mathrm{\Xi }}_c,{\overline{D}}^{\ast }{\mathrm{\Xi }}_c,\overline{D}{\mathrm{\Xi }}_c^{\prime },{\overline{D}}^{\ast }{\mathrm{\Xi }}_c^{\prime },\overline{D}{\mathrm{\Xi }}_c^{\ast }$ and
${\overline{D}}^{\ast }{\mathrm{\Xi }}_c^{\ast }$. A novel aspect of the work is the realization that the $\overline{D}{\mathrm{\Xi }}_c,{\overline{D}}_s{\mathrm{\Lambda }}_c$ or
${\overline{D}}^{\ast }{\mathrm{\Xi }}_c,{\overline{D}}_s^{\ast }{\mathrm{\Lambda }}_c$ channels, with a strong transition potential, collaborate to produce a larger attraction
than the corresponding states $\overline{D}{\mathrm{\Sigma }}_c,\overline{D}{\mathrm{\Lambda }}_c$ or ${\overline{D}}^{\ast }{\mathrm{\Sigma }}_c,{\overline{D}}^{\ast }{\mathrm{\Lambda }}_c$ appearing in the
generation of the strangenessless $P_c$ states, since in the latter case the transition potential between those channels is zero. The extra attraction obtained in the $\overline{D}{\mathrm{\Xi }}_c,{\overline{D}}^{\ast }{\mathrm{\Xi }}_c$ pairs preclude the association of these channels to the $P_{cs}(4338)$
and $P_{cs}(4459)$ states respectively. Then we find a natural association of the $P_{cs}(4338)$ state coupling mostly to
${\overline{D}}^{\ast }{\mathrm{\Xi }}_c$ while the $P_{cs}(4459)$ is associated to the state found that couples mostly to $\overline{D}{\mathrm{\Xi }}_c^{\prime }$. Four more
states appear, like in other molecular pictures, and some of the states are degenerate in spin. Counting different spin states we
find $10$ states, which we hope can be observed in the near future.

Presentation materials

Pcs_hadron_feijoo.pdf