Dynamically generated resonances from the vector octet-baryon decuplet interaction

Abstract

We study the interaction of the octet of vector mesons with the decuplet of baryons using Lagrangians of the hidden gauge theory for vector interactions. The unitary amplitudes in coupled channels develop poles that can be associated with some known baryonic resonances, while there are predictions for new ones at the energy frontier of the experimental research. The work offers guidelines on how to search for these resonances.

Plausible explanation for theΔ5/2+(2000)puzzle

“…There the consideration of the ρ∆ channel whose threshold (2002 MeV) lies close above the experimental mass of the resonance and far below the 3q mass (∼ 2150 MeV) allowed for an explanation of ∆ 5/2 − (1930) and its partners, ∆ 3/2 − (1940) and ∆ 1/2 − (1900), as ρ∆ bound states in the I = 3/2 sector. In addition N 1/2 − (1650), N 3/2 − (1700) and N 5/2 − (1675) were also well described as ρ∆ bound states in the I = 1/2 sector, although the bigger sensitivity in this case to the cutoff parameter employed left some room for alternative assignments of these ρ∆ bound states to nucleonic resonances [15]. It should be pointed out that, contrary to the ∆ 5/2 − (1930) and its partners, these nucleon resonances around 1700 MeV can also be reasonably described as 3q states in the first energy band [13].…”

“…The ∆ρ interaction has been analyzed in the framework of the hidden gauge formalism [25] in terms of the exchange of a ρ meson in the t−channel between the ∆ and the ρ [5,15]. Under the low energy approximation of neglecting q 2 /M 2 V in the propagator of the exchanged vector meson, where q is the momentum transfer, and also the three momentum − → k of the vector meson, one obtains for the ∆ρ → ∆ρ potential the form…”

“…[5], or with dimensional regularization in terms of a subtraction constant as done in Ref. [15]. Here we shall make use of the dimensional regularization scheme better suited to analyze the sensitivity of our results against variations of the parameter (small changes of the subtraction constant translate into significant changes in the values of the cutoff [26]).…”

Combining heavy quark spin and local hidden gauge symmetries in the dynamical generation of hidden charm baryons

“…The extension of the local hidden gauge approach to the baryon sector for the interaction of vector mesons with baryons has also been tackled: the interaction of vector mesons with the decuplet of baryons is studied in [23] and with the octet of baryons in [24]. In both cases some dynamically generated resonances are obtained which can be associated to reported resonances in the PDG [25].…”

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“…[44], and analogously ignored contributions of these diagrams were found in Ref. [76] in the case of VB interactions for the light quark sectors. Note that, as discussed at the beginning of this section, the WT-type interaction potentials from the local hidden gauge formalism are in fact the t-channel diagrams with the explicit exchange of a vector meson; thus, in principle, there are also the unphysical left-hand cut contributions in the t channel as in the u channel.…”