Static potentials and glueball masses from QCD simulations with Wilson sea quarks

Bali, Gunnar S.; Bolder, Bram; Eicker, N.; Lippert, Thomas; Orth, Boris; Ueberholz, P.; Schilling, Klaus; Struckmann, Thorsten

doi:10.1103/physrevd.62.054503

Cited by 210 publications

(96 citation statements)

References 53 publications

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“…It has been estimated that this will happen at a distance of 1:2 fm for our quark masses of m q 100 Mev [14,45]. This does not mean that the string state vanishes from the spectrum of the transfer matrix.…”

Section: String Breakingmentioning

confidence: 95%

Dynamics of monopoles and flux tubes in two-flavor dynamical QCD

et al. 2004

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We investigate the confining properties of the QCD vacuum with N f 2 flavors of dynamical quarks, and compare the results with the properties of the quenched theory. We use nonperturbatively Oa improved Wilson fermions to keep cutoff effects small. We focus on color magnetic monopoles. Among the quantities we study are the monopole density and the monopole screening length, the static potential and the profile of the color electric flux tube. We furthermore derive the low-energy effective monopole action. Marked differences between the quenched and dynamical vacuum are found.

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Section: String Breakingmentioning

confidence: 95%

Dynamics of monopoles and flux tubes in two-flavor dynamical QCD

et al. 2004

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“…This is called quenched approximation. Recent glueball mass calculations on the lattice include couplings to fermion loops [1200] but pions are still too heavy to represent the true chiral limit. It is hence not excluded that the scalar glueball is very broad.…”

Section: Scalar Mesons With Instanton-induced Interactionsmentioning

confidence: 99%

Glueballs, hybrids, multiquarks

2007

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Glueballs, hybrids and multiquark states are predicted as bound states in models guided by quantum chromo dynamics (QCD), by QCD sum rules or QCD on a lattice. Estimates for the (scalar) glueball ground state are in the mass range from 1000 to 1800 MeV, followed by a tensor and a pseudoscalar glueball at higher mass. Experiments have reported evidence for an abundance of meson resonances with 0 −+ , 0 ++ and 2 ++ quantum numbers. In particular, the sector of scalar mesons is full of surprises starting from the elusive and mesons. The a 0 (980) and f 0 (980), discussed extensively in the literature, are reviewed with emphasis on their Janus-like appearance as KK molecules, tetraquark states or qq mesons. Most exciting is the possibility that the three mesons f 0 (1370), f 0 (1500), and f 0 (1710) might reflect the appearance of a scalar glueball in the world of quarkonia. However, the existence of f 0 (1370) is not beyond doubt and there is evidence that both f 0 (1500) and f 0 (1710) are flavour octet states, possibly in a tetraquark composition. We suggest a scheme in which the scalar glueball is dissolved into the wide background into which all scalar flavour-singlet mesons collapse.There is an abundance of meson resonances with the quantum numbers of the . Three states are reported below 1.5 GeV/c 2 whereas quark models expect only one, perhaps two. One of these states, (1440), was the prime glueball candidate for a long time. We show that (1440) is the first radial excitation of the meson.Hybrids may have exotic quantum numbers which are not accessible by qq mesons. There are several claims for J P C = 1 −+ exotics, some of them with properties as predicted from the flux tube model interpreting the quark-antiquark binding by a gluon string. The evidence for these states depends partly on the assumption that meson-meson interactions are dominated by s-channel resonances. Hybrids with non-exotic quantum numbers should appear as additional states. Light-quark mesons exhibit a spectrum of (squared) masses which are proportional to the sum of orbital angular momentum and radial quantum numbers. Two states do not fall under this classification. They are discussed as hybrid candidates.The concept of multiquark states has received revived interest due to new resonances in the spectrum of states with open and hidden charm. The new states are surprisingly narrow and their masses and their decay modes often do not agree with simple quark-model expectations.Lattice gauge theories have made strong claims that glueballs and hybrids should appear in the meson spectrum. However, the existence of a scalar glueball, at least with a reasonable width, is highly questionable. It is possible that hybrids will turn up in complex multibody final states even though so far, no convincing case has been made for them by experimental data. Lattice gauge theories fail to identify the nonet of scalar mesons. Thus, at the present status of approximations, lattice gauge theories seem not to provide a trustworthy guide into unknown territory ...

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“…linear, log, power law, etc.). In many practical applications a harmonic oscillator potential produces spectra not much different from those found from potentials such as Coulombic plus linear [6,19]. Since harmonic oscillator (h.o.)…”

Section: The Hypercentral Potentialmentioning

confidence: 99%

“…(4) and (5), the interaction potential can be taken as Coulomb term plus confining term (κx − τ x ) as suggested by the lattice QCD calculations [6,19]. In this paper, we have added the six dimensions harmonic oscillator potential, which has a two-body character, and turns out to be exactly hypercentral since…”

Section: The Hypercentral Potentialmentioning

confidence: 99%

“…The baryon spectrum is usually described well, although the various models are quite different. Common to these models is the fact that the three quark interaction can be divided † nssalehi@yahoo.com (1247) in two parts: the first one, containing the confinement interaction, is spin and flavor independent which is therefore SU (6) invariant, while the second violates the SU(6) symmetry [8,9,10]. One of the most popular ways to violate the SU (6) invariance was the introduction of a hyperfine (spin-spin) interaction [11,12], however in many studies a spin and isospin [1,13,14] or a spin and flavor dependent interaction [1,13] has been considered.…”

Section: Introductionmentioning

confidence: 99%

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Salehi¹,

Ghalenovi²,

Rajabi³

2011

Acta Phys. Pol. B

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In this work, we study the spin and flavor dependent SU(6) violations in the strange and nonstrange baryons spectrum using a simple approach based on the Gürsey Radicati mass formula (GR). The average energy value of each SU(6) multiplet is described using the SU(6) invariant interaction given by a hypercentral potential. In this paper the hypercentral potential is regarded as a combination of the Coulombic-like term plus a linear confining term and we have added the harmonic oscillator potential. In fact, we have built up a potential scheme for the internal baryon structure which has three-body forces among three quarks. The results of our model (the combination of our proposed hypercentral Potential and generalized GR mass formula to description of the spectrum) show that the strange and nonstrange baryons spectrum are, in general, fairly well reproduced. The overall good description of the spectrum which we obtain shows that our model can also be used to give a fair description of the energies of the excited multiplets at least up to 2 GeV and negative-parity resonance. Moreover, we have shown that our model reproduces the position of the Roper resonances of the nucleon.

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Static potentials and glueball masses from QCD simulations with Wilson sea quarks

Cited by 210 publications

References 53 publications

Dynamics of monopoles and flux tubes in two-flavor dynamical QCD

Dynamics of monopoles and flux tubes in two-flavor dynamical QCD

Glueballs, hybrids, multiquarks

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