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Nagahiro, Hideko; Yamagata-Sekihara, J.; Oset, E.; Hirenzaki, S.; Molina, R.

doi:10.1103/physrevd.79.114023

Cited by 51 publications

(55 citation statements)

References 24 publications

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“…This is the case for the ρρ interaction, from where one obtains the f 2 (1270) and f 0 (1370) resonances [10] and its extension to the interactions of vectors of the ρ nonet [11], from where a few more dynamically generated resonances are obtained, like the f 0 (1710), f ′ 2 (1525) and K * 2 (1430). The properties of the resonances obtained are shown to be consistent with the radiative decay to two photons [12] and to two-photon and one photon-one vector meson in [13]. Similarly, consistency with experiment has been shown in J/ψ → φ(ω)R [14], with R any of the resonances of [11], and in J/ψ radiative decays in [15].…”

Section: Introductionsupporting

confidence: 48%

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

2013

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We present a coupled channel unitary approach to obtain states dynamically generated from the meson baryon interaction with hidden charm, using constraints of heavy quark spin symmetry. We use as basis of states,DB,D * B states, with B baryon charmed states belonging to the 20 representations of SU(4) with J P = 1/2 + , 3/2 + . In addition we also include the η c N and J/ψN states. The inclusion of these coupled channels is demanded by heavy quark spin symmetry, since in the large m Q limit the D and D * states are degenerate and are obtained from each other by means of a spin rotation, under which QCD is invariant. The novelty in the work is that we use dynamics from the extrapolation of the local hidden gauge model to SU(4) and we show that this dynamics fully respects the constraints of heavy quark spin symmetry.With the full space of states demanded by the heavy quark spin symmetry and the dynamics of the local hidden gauge we look for states dynamically generated and find four basic states which are bound, corresponding toDΣ c ,DΣ * c ,D * Σ c andD * Σ * c , decaying mostly into η c N and J/ψN . All the states appear in isospin I = 1/2 and we find no bound states or resonances in I = 3/2. TheDΣ c state appears in J = 1/2, theDΣ * c in J = 3/2, theD * Σ c appears nearly degenerate in J = 1/2, 3/2 and theD * Σ * c appears nearly degenerate in J = 1/2, 3/2, 5/2, with the peculiarity that in J = 5/2 the state has zero width in the space of states chosen. All the states are bound with about 50 MeV with respect to the correspondingDB thresholds and the width, except for the J = 5/2 state, is also of the same order of magnitude.

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Section: Introductionsupporting

confidence: 48%

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

2013

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“…We refrain from doing it here, but the small width obtained using V eff or the potential of Ref. [11] serves us the purpose of evaluating the coupling of the state to ρρ, which we do in the following way [13]:…”

Section: Improved Calculationmentioning

confidence: 99%

“…With natural values of the parameters in order to find the binding at the experimental energies, the couplings of the resonances to different channels were extracted. These couplings were then used to study radiative decays [13] and other decays [14], and in all cases consistency with experiment was found.…”

Section: Introductionmentioning

confidence: 99%

On the chiral covariant approach to ρρ scattering

2017

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We examine in detail a recent work (D. Gülmez, U.-G. Meißner and J. A. Oller, Eur. Phys. J. C 77:460 (2017)), where improvements to make ρρ scattering relativistically covariant are made. The paper has the remarkable conclusion that the J = 2 state disappears with a potential which is much more attractive than for J = 0, where a bound state is found. We trace this abnormal conclusion to the fact that an "on-shell" factorization of the potential is done in a region where this potential is singular and develops a large discontinuous and unphysical imaginary part. A method is developed, evaluating the loops with full ρ propagators, and we show that they do not develop singularities and do not have an imaginary part below threshold. With this result for the loops we define an effective potential, which when used with the Bethe-Salpeter equation provides a state with J = 2 around the energy of the f2(1270). In addition, the coupling of the state to ρρ is evaluated and we find that this coupling and the T matrix around the energy of the bound state are remarkably similar to those obtained with a drastic approximation used previously, in which the q 2 terms of the propagators of the exchanged ρ mesons are dropped, once the cut-off in the ρρ loop function is tuned to reproduce the bound state at the same energy. *

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“…This is so because these states are molecular states of ground state meson or baryon components, with well known couplings to external sources which allow one to obtain the coupling of the resonances to these sources. As examples there has been work on the radiative decay of the resonances reported here to two photons, or one vector and one photon in [19,20], with good agreement with experiment whenever comparison is possible. Similarly, in [21] there has been work on the decay modes of the J/ψ into a vector meson (φ , ω or K * 0 ) and a tensor meson, taking into account the nature of the f 2 (1270), f ′ 2 (1525),K * 0 2 (1430) as dynamically generated states as has been discussed here.…”

Section: Further Applicationsmentioning

confidence: 92%

Vector meson-vector meson interaction and dynamically generated resonances

Oset¹,

Geng²,

Nicmorus³

et al. 2010

AIP Conference Proceedings

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Abstract. Using the local hidden gauge formalism for the vector meson-vector meson interaction within a unitary approach we find that 11 states get dynamically generated. Five of them are associated to the f 0 (1370), f 0 (1710), f 2 (1270), f ′ 2 (1525), and K * 2 (1430) resonances, by comparing the mass, width, and decay pattern of these states with those of their experimental counterparts. At the same time we predict six other states with the quantum numbers of h 1 , a 0 , b 1 , a 2 , K * 0 , and K 1 which could be tested by future experiments.

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γγdecay of thef0(1370)andf2

Cited by 51 publications

References 24 publications

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

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

On the chiral covariant approach to ρρ scattering

Vector meson-vector meson interaction and dynamically generated resonances

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