Elusive vector glueball

Suzuki, Mahiko

doi:10.1103/physrevd.65.097507

Cited by 16 publications

(6 citation statements)

References 17 publications

(13 reference statements)

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“…Under the factorization approximation, T ′ = C ′ = 0. As pointed out in [18], the tensor meson, for example a + 2 , can be produced from the tensor operator (ū R γ µ…”

Section: D → T P Decays and Factorizationmentioning

confidence: 94%

Hadronic charmed meson decays involving tensor mesons

Cheng

2003

Phys. Rev. D

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Charmed meson decays into a pseudoscalar meson P and a tensor meson T are studied. The charm to tensor meson transition form factors are evaluated in the Isgur-Scora-Grinstein-Wise ͑ISGW͒ quark model. It is shown that the Cabibbo-allowed decay D s ϩ → f 2 (1270) ϩ is dominated by the W-annihilation contribution and has the largest branching ratio in D→TP decays. We argue that the Cabibbo-suppressed mode D ϩ → f 2 (1270) ϩ should be suppressed by one order of magnitude relative to D s ϩ → f 2 (1270) ϩ . When the finite width effect of the tensor resonances is taken into account, the decay rate of D→TP is generally enhanced by a factor of 2-3. Except for D s ϩ → f 2 (1270) ϩ , the predicted branching ratios of D→TP decays are in general too small by one to two orders of magnitude compared to experiment. However, it is very unlikely that the D→T transition form factors can be enhanced by a factor of 3-5 within the ISGW quark model to account for the discrepancy between theory and experiment. As many of the current data are still preliminary and lack sufficient statistic significance, more accurate measurements are needed to pin down the issue.

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“…Under the factorization approximation, T ′ = C ′ = 0. As pointed out in [18], the tensor meson, for example a + 2 , can be produced from the tensor operator (ū R γ µ…”

Section: D → T P Decays and Factorizationmentioning

confidence: 94%

Hadronic charmed meson decays involving tensor mesons

Cheng

2003

Phys. Rev. D

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“…Scaling from the lattice result of M 2 ++ =2000-2400 MeV [16,26,27] the mass range of these glueballs is 3.1-3.7 GeV, right in the ballpark of J/ψ and ψ ′ masses. The proximity of the 1 −− glueball to J/ψ or perhaps ψ ′ may be what is needed from comparison of J/ψ and ψ ′ two body hadronic decays [28].…”

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confidence: 99%

Glueball spectrum from a potential model

Hou

Wong²

2003

Phys. Rev. D

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The spectrum of two-gluon glueballs below 3 GeV is investigated in a potential model with dynamical gluon mass using variational method. The short distance potential is approximated by one-gluon exchange, while the long distance part is taken as a breakable string. The mass and size of the radial as well as orbital excitations up to principle quantum number n = 3 are evaluated. The predicted mass ratios are compared with experimental and lattice results.PACS numbers: 12.39.MK Quantum Chromodynamics (QCD) is widely accepted as the theory of strong interactions. It is generally believed that the gluon self-coupling in QCD implies the existence of bound states of confined gluons known as glueballs. The experimental discovery of these glueballs would be very important and would give further support to the theory of QCD. However, numerous technical difficulties have so far hampered our unequivocal identification of glueballs by experiment, largely because glueball states can mix strongly with nearby qq resonances. Nevertheless, the estimation of mass and size of pure gluon glueball states should still be pursued. This could guide experimental searches, as well as provide calibration for models of glueballs.Over the past 20 years there has been an on-going effort to obtain a nonperturbative form for the gluon propagator. Perhaps one of the most interesting result is that the gluon may have a dynamically generated mass [1]. The existence of a mass scale, or the absence of a pole at k 2 = 0, is natural if one assumes that gluons do not propagate to infinity, i.e., these propagators describe confined gluons. The concept of massive gluon has been widely used in independent field theoretic studies, and examples about the consequences of massive gluons can be found in the literature [2][3][4][5][6][7].In this paper, we focus on the calculation of two-gluon glueball systems and extend our previous work [8] on the estimation of the mass and size of low lying glueball states, using the variational method in the potential model of Cornwall and Soni [9,10]. The main feature of the present work is the consideration of radial as well as orbital excitations, up to principle quantum number n = 3.To exhibit both asymptotic freedom and the nonAbelian nature of QCD, gluon dynamics can be described as massive spin-one fields interacting through one-gluon exchange and a breakable string. At short distance the effective coupling constant of the gluon-gluon interaction becomes small and the interaction can be treated perturbatively. The short distance potential is approximated by one-gluon exchange and can be extracted from the tree-level Feynman amplitude of Fig. 1,where q is the momentum transfer of the system. At long distance, the non-Abelian nature of QCD implies gluon confinement via nonperturbative effects. These nonperturbative effects are implemented by introducing a string potential V str which is assumed to be spin independent,where β is related to the adjoint string tension K A viaIn the potential V str , the color screening of...

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“…For example, it provides additional insights into the puzzle of heavy XY Z states, especially those that decay into charmed mesons. A possible (if small) mixture of a vector 1 −− glueball state G V with a vector cc state [17] could provide a glueball molecular component πG V of the X(3872) state containing no charmed quarks at all. This follows if the mass of the vector glueball is m GV ≈ 3.8 GeV, as suggested by some lattice QCD studies [3].…”

Section: Discussionmentioning

confidence: 99%

Glueball molecules

Petrov¹

2022

Preprint

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Experimental searches for pure glueball states have proven challenging and so far yielded no results. This is believed to occur because glueballs mix with the ordinary q q states with the same quantum numbers. We will discuss an alternative mechanism, the formation of the glueball-meson molecular states. We will argue that the wave functions of already observed excited meson states may contain a significant part due to such molecular states. We discuss the phenomenology of glueball molecules and comment on a possible charmless component of the XY Z states.

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Elusive vector glueball

Cited by 16 publications

References 17 publications

Hadronic charmed meson decays involving tensor mesons

Hadronic charmed meson decays involving tensor mesons

Glueball spectrum from a potential model

Glueball molecules

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