Low lying axial-vector mesons as dynamically generated resonances

Roca, L.; Oset, E.; Singh, Janardan P.

doi:10.1103/physrevd.72.014002

Cited by 320 publications

(684 citation statements)

References 41 publications

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“…We solve the Bethe-Salpeter equation of Eq. (47) in coupled channels and look for poles in the second Riemann sheet when there are open channels, or in the first Riemann sheet when one has stable bound states (see [2,71] for details). Let √ s p be the complex energy where a pole appears.…”

Section: Resultsmentioning

confidence: 99%

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: Resultsmentioning

confidence: 99%

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

2013

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“…In the naive quark model, this state is assigned as a 2S+1 L J = 3 P 1 state. In recent years, however, it has been suggested to be a dynamically generated state made from the KK * interaction, together with its axial-vector counterparts [2,3]. Such a picture has been extensively tested in the past decade [4][5][6][7][8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

S-waveKKinteractions in a finite volume and thef
Geng
¹
,
Ren
²
,
Zhou
³

et al. 2015
Phys. Rev. D*
29
2
33
0
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Lattice QCD simulations provide a promising way to disentangle different interpretations of hadronic resonances, which might be of particular relevance to understand the nature of the so-called XY Z particles. Recent studies have shown that in addition to the well-established naive quark model picture, the axial-vector meson f 1 (1285) can also be understood as a dynamically generated state built upon the KK * interaction. In this work, we calculate the energy levels of the KK * system in the f 1 (1285) channel in finite volume using the chiral unitary approach. We propose to calculate the loop function in the dimensional regularization scheme, which is equivalent to the hybrid approach adopted in previous studies. We also study the inverse problem of extracting the bound state information from synthetic lattice QCD data and comment on the difference between our approach and the Lüscher method. *

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“…where q max stands for the cut off in the three-momentum, ω i = ( q 2 i + m 2 i ) 1/2 and the square of center-of-mass energy (P 0 ) 2 = s. In the complex plane, for a general √ s, the loop function in the second Riemann sheet can be written as [47]:…”

Section: T-matrixmentioning

confidence: 99%

Y(3940),Z(3930), and theX
Molina
¹
,
Oset
²

2009
Phys. Rev. D
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170

294

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The Y (3940), Z(3930) and the X(4160) as dynamically generated resonances from the vector-vector interaction Abstract We study the vector-vector interaction within the framework of the hidden gauge formalism for the channels with quantum numbers Charm C = 0 and Strangeness S = 0 in the energy region around 4000 MeV. By looking for poles in the complex plane we find three resonances that could be identified by the mass, width and quantum numbers with the Y (3940), Z(3940) and X(4160), these poles appear with isospin I = 0 and J P C = 0 ++ , 2 ++ and 2 ++ respectively. Whereas the Y (3940) and Z(3940) are coupled more strongly to D * D * , the X(4160) is basically a D * sD * s molecular state. Another two extra resonances appear in our approach with I = 0, 1 and J P C = 1 +− , 2 ++ which are not found in the PDG with masses M = 3945, 3912 MeV and widths Γ = 0, 120 MeV respectively.

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Low lying axial-vector mesons as dynamically generated resonances

Cited by 320 publications

References 41 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

S-waveKKinteractions in a finite volume and thef
Geng
¹
,
Ren
²
,
Zhou
³

et al. 2015
Phys. Rev. D*
29
2
33
0
View full text Add to dashboard Cite

Y(3940),Z(3930), and theX
Molina
¹
,
Oset
²

2009
Phys. Rev. D
Self Cite

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Low lying axial-vector mesons as dynamically generated resonances

Cited by 320 publications

References 41 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

S-waveKK*interactions in a finite volume and thefGeng1, Ren2, Zhou3 et al. 2015Phys. Rev. D292330View full textAdd to dashboardCite

Y(3940),Z(3930), and theXMolina1, Oset2 2009Phys. Rev. DSelf Cite

Contact Info

Product

Resources

About

S-waveKKinteractions in a finite volume and thef
Geng
¹
,
Ren
²
,
Zhou
³

et al. 2015
Phys. Rev. D*
29
2
33
0
View full text Add to dashboard Cite

Y(3940),Z(3930), and theX
Molina
¹
,
Oset
²

2009
Phys. Rev. D
Self Cite