New study of the isotensor ππ interaction

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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“…The phase motion is identical to the one [1065]. Data compilation and fit are from [970]. observed in elastic scattering.…”

Section: Scatteringmentioning

confidence: 91%

“…An additional phase amplitude and phase shift is provided by f 2 (1270) exchange (see e.g. [970]). Since the and f 2 (1270) couplings are known, absolute predictions can be made.…”

Section: The Wave J P C = 1 −+ In the Channelmentioning

confidence: 99%

Glueballs, hybrids, multiquarks

2007

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“…1, we use the interaction Lagrangian densities as in Refs. [15,[22][23][24][25][26][27][28][29][30],…”

Section: A Feynman Diagrams and Interaction Lagrangian Densitiesmentioning

confidence: 99%

Role of theN(2080)inpp→pK+Λ(
Xie
¹
,
Liu
²

2013
Phys. Rev. C*
39
6
61
0
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“…In general, the cutoff parameters can be different for different pseudoscalar-meson systems. In the analysis of the ππ, and πK phase shifts, the Λ changes ranging from 1.5 GeV to 2.0 GeV [23]. We use the same values for all systems in our study.…”

Section: The Modelmentioning

confidence: 99%

PossibleS-wave bound-states of two pseudoscalar mesons

et al. 2006

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Using the potentials derived from vector-meson-exchanges, the KK, DK, BK, DD, BB, BD ,DK, BK and BD systems are studied. Possible S-wave bound-states of two pseudoscalar mesons are discussed. We find that systems of DB, DD, BB and DK with isospin 0 are likely to form S-wave bound states via strong interactions while the others are unlikely to be bound by the strong interaction sector alone. With the Coulomb potential, the K + K − system can form an atomic bound state -the kaonium. The influence of the one-meson-exchange potential on the ground state energy of the kaonium and its decay widths to ππ and πη are evaluated.

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New study of the isotensor ππ interaction

Cited by 34 publications

References 43 publications

Glueballs, hybrids, multiquarks

Glueballs, hybrids, multiquarks

Role of theN(2080)inpp→pK+Λ(
Xie
¹
,
Liu
²

2013
Phys. Rev. C*
39
6
61
0
View full text Add to dashboard Cite

PossibleS-wave bound-states of two pseudoscalar mesons

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New study of the isotensor ππ interaction

Cited by 34 publications

References 43 publications

Glueballs, hybrids, multiquarks

Glueballs, hybrids, multiquarks

Role of theN*(2080)inpp→pK+Λ(Xie1, Liu2 2013Phys. Rev. C396610View full textAdd to dashboardCite

PossibleS-wave bound-states of two pseudoscalar mesons

Contact Info

Product

Resources

About

Role of theN(2080)inpp→pK+Λ(
Xie
¹
,
Liu
²

2013
Phys. Rev. C*
39
6
61
0
View full text Add to dashboard Cite