Do $1^- c \bar c g$ hybrid meson exist, do they mix with charmonium ?
| dc.creator | Iddir, F. | |
| dc.creator | Pène, S. Safir O. | |
| dc.date | 1998-03-27 | |
| dc.date.accessioned | 2026-07-07T10:33:39Z | |
| dc.date.available | 2026-07-07T10:33:39Z | |
| dc.description | Hybrid $ c \bar c g$ of quantum numbers $1^{--}$ are considered in a quark model with constituant quarks and gluon. The lowest $J^P=1^-$ states may be built in two ways, $l_g=1$ (gluon excited) corresponding to an angular momentum between the gluon and the $c \bar c$ system, while $l_{c\bar c}=1$ (quark excited) corresponds to an angular momentum between the $c$ and the $\bar c$. The lowest lying hybrid $J^P=1^-$ state in the flux tube model is similar to the $l_g=1$ in the quark-gluon model. In particular it verifies the selection rule that it cannot decay into two fundamental mesons. The $l_{q\bar q}=1$ hybrid may decay into two fundamental mesons, but with decay widths larger than 1 GeV, which tells that they do not really exist as resonant states. Using a chromoharmonic potential, we find no mixing between the $l_g=1$ and $l_{c\bar c}=1$. More realistic potentials might induce a strong mixing between them, implying that no hybrid meson exist. If, on the contrary, such a strong mixing does not occur, we find, in agreement with the flux tube model, that only the $l_g=1$ appears as a real resonant state. In such a case, hybrid mesons may exist as resonances only if they are decoupled from the ground state channels, which explains the difficulty to observe them experimentally. We reconsider accordingly the Ono-Close-Page scenario of mixing between charmonium and charmed-hybrid to explain the anomalies around 4.1 GeV. We find a very small mixing between radially excited charmonium and hybrid mesons, which forbids considering the $ψ(4.040)$ and $ψ(4.160)$ as combinations of 3S charmonium and $l_g=1$ hybrid meson with a large mixing. | |
| dc.description | 18 pages, Latex2e | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9803470 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9803470 | |
| dc.identifier | Phys.Lett.B433:125-138,1998 | |
| dc.identifier | doi:10.1016/S0370-2693(98)00603-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179190 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Do $1^- c \bar c g$ hybrid meson exist, do they mix with charmonium ? | |
| dc.type | text |