Study of the I=2 ππ scattering from the reaction π−d → π−π−psp at 9.0 GeV/c

Durusoy, N.B.; Baubillier, M.; George, R.; Goldberg, M.; Touchard, A. M.; Armenise, N.; Fogli-Muciaccia, M.T.; Silvestri, A.

doi:10.1016/0370-2693(73)90658-8

Cited by 95 publications

(58 citation statements)

References 9 publications

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“…In Figure 4 we show pion energies on the three volumes along with a fit to Equation 11 with ξ as a free parameter. The fit is acceptable leading to ξ = 3.444 (6). Using other parameterisations of the dispersion relation (adding a p 4 term, using cosh/sinh etc...), lead to fits which are indistinguishable within the thickness of the line in Figure 4 and to compatible values of ξ.…”

Section: Pion Mass and Dispersion Relationmentioning

confidence: 72%

“…In Figure 27 we show our δ 0,2 (p cm ) obtained at m π = 396 MeV along with the experimental data taken from [3][4][5][6]. Our data points have the absolute energy scale of the scattering momentum set using the Ω-baryon mass procedure suggested in [21], p cm = (a t p cm ) m phys Ω (atmΩ) with (a t m Ω ) = 0.2951(22) on these lattices [14].…”

Section: Resultsmentioning

confidence: 99%

“…A relatively straightforward sector in which to study hadron scattering in finite-volume is ππ in isospin-2. At low energies, this channel is experimentally observed to be non-resonant in low partial-waves [3][4][5][6] and this lack of resonances ensures a slow variation of phase-shifts with energy. This makes the problem of determining the phase-shift as a function of energy somewhat easier.…”

Section: Introductionmentioning

confidence: 99%

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S- andD-wave phase shifts in isospin-2ππscattering from lattice QCD

2012

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The isospin-2 ππ system provides a useful testing ground for determining elastic hadron scattering parameters from finite-volume spectra obtained using lattice QCD computations. A reliable determination of the excited state spectrum of two pions in a cubic box follows from variational analysis of correlator matrices constructed using a large basis of operators. A general operator construction is presented which respects the symmetries of a multi-hadron system in flight. This is applied to the case of ππ and allows for the determination of the scattering phase-shifts at a large number of kinematic points, in both S-wave and D-wave, within the elastic region. The technique is demonstrated with a calculation at a pion mass of 396 MeV, where the elastic scattering is found to be well described by a scattering length parameterisation.

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Section: Pion Mass and Dispersion Relationmentioning

confidence: 72%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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S- andD-wave phase shifts in isospin-2ππscattering from lattice QCD

2012

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“…A peak at low masses is observed [512] to which a clear phase motion can be ascribed [1066]. The phase motion is identical to the one [1065]. Data compilation and fit are from [970].…”

Section: Scatteringmentioning

confidence: 93%

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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“…In order to explain the measured elastic phase shifts [10][11][12][13][14][15] for I = 2 ππ and I = 3/2 Kπ scattering, Barnes et al [16,17] considered Born-order quark-interchange diagrams in a nonrelativistic potential model and few other attempts have been made [18,19].…”

Section: Introductionmentioning

confidence: 99%

Cross sections for meson–meson nonresonant reactions

2007

Nuclear Physics A

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Meson-meson nonresonant reactions governed by the quark-interchange mechanism are studied in a potential that is derived from QCD. S-wave elastic phase shifts for I = 2 ππ and I = 3/2 Kπ scattering are obtained with wave functions determined by the central spin-independent term of the potential. The reactions include inelastic scatterings of two mesons in the ground-state pseudoscalar octet and the ground-state vector nonet. Cross sections for reactions involving π, ρ, K and K * indicate that mesonic interactions in matter consisting of only K and K * can be stronger than mesonic interactions in matter consisting of only π and ρ and the reaction of I = 3/2 πK * → ρK is most important among the endothermic nonresonant reactions. By the quark-interchange mechanism we can offer √ s-dependences of φ absorption cross sections in collisions with π and ρ and relevant average cross sections what are very small for the reaction of I = 1 πφ → K * K * and remarkably large for the reaction of I = 1 ρφ → K * K * . It is found from the √ s-dependences of cross sections that ρ and K * creation cross sections can be larger than their absorption cross sections, respectively.

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Study of the I=2 ππ scattering from the reaction π−d → π−π−psp at 9.0 GeV/c

Cited by 95 publications

References 9 publications

S- andD-wave phase shifts in isospin-2ππscattering from lattice QCD

S- andD-wave phase shifts in isospin-2ππscattering from lattice QCD

Glueballs, hybrids, multiquarks

Cross sections for meson–meson nonresonant reactions

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