Erratum: Extended Simpson’s rule for the screened Cornell potential in momentum space [Phys. Rev. D 86, 036013 (2012)]

Chen, Jiao-Kai

doi:10.1103/physrevd.89.099904

Cited by 7 publications

(11 citation statements)

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“…Since it strongly couples to D * D * s=2 channel with the |1 ⊗ 0 as the dominant component, the most important hidden charm decay channel is J/ψ plus two S-wave pions. 10 We also find a pole 4.032 ± i0.016 GeV on sheet IV which corresponds to the ψ(4040) with the ratio of the effective couplings 2.90 : 2.23 : 12.52 : 12.85 = 1 : 0.77 : 4.32 : 4.43. It does not agree with either the ratio given by the pure S-wave or pure D-wave charmonia which also indicates large HQSS breaking effects.…”

Section: Resultsmentioning

confidence: 61%

“…For the S-wave interaction, the most famous one is DD * 1 interaction in the isospin singlet channel which is crucial for understanding the nature of the X(3872) [1][2][3][4][5][6][7][8][9]. The corresponding coupled channel effects in the isovector channel have also been studied to probe the structure of the Z c (3900) and the Z c (4040/4025) [10][11][12][13][14][15][16][17][18] as well as their heavy flavor partners in the bottom sector, i.e. Z b (10610) and Z b (10650) [19][20][21][22][23], which are close to the BB * and B * B * thresholds, respectively.…”

Section: Introductionmentioning

confidence: 99%

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P -wave coupled channel effects in electron-positron annihilation

Meißner

Wang

2016

Phys. Rev. D

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P -wave coupled channel effects arising from the DD, DD * + c.c., and D * D * thresholds in e + e − annihilations are systematically studied. We provide an exploratory study by solving the LippmannSchwinger equation with short-ranged contact potentials obtained in the heavy quark limit. These contact potentials can be extracted from the P -wave interactions in the e + e − annihilations, and then be employed to investigate possible isosinglet P -wave hadronic molecules. In particular, such an investigation may provide information about exotic candidates with quantum numbers J P C = 1 −+ . In the mass region of the DD, DD * + c.c., and D * D * thresholds, there are two quark model bare states, i.e. the ψ(3770) and ψ(4040), which are assigned as (1 3 D1) and (3 1 S1) states, respectively. By an overall fit of the cross sections of e + e − → DD, DD * + c.c., D * D * , we determine the physical coupling constants to each channel and extract the pole positions of the ψ(3770) and ψ(4040). The deviation of the ratios from that in the heavy quark spin symmetry (HQSS) limit reflects the HQSS breaking effect due to the mass splitting between the D and the D * . Besides the two poles, we also find a pole a few MeV above the DD * + c.c. threshold which can be related to the so-called G(3900) observed earlier by BABAR and Belle. This scenario can be further scrutinized by measuring the angular distribution in the D * D * channel with high luminosity experiments.

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Section: Resultsmentioning

confidence: 61%

Section: Introductionmentioning

confidence: 99%

P -wave coupled channel effects in electron-positron annihilation

Meißner

Wang

2016

Phys. Rev. D

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“…Based on the discussion above, it is seen that, quite contrary to the charmed meson interaction below 4.2GeV where the interaction appears to be mostly repulsive in nature [43,44,[50][51][52], interactions between a (D 1 D * ) ± two-particle system is attractive. The interaction is also stronger compared with the quenched case.…”

Section: Discussionmentioning

confidence: 99%

“…6 for all three ensembles. In this study, we have taken n = 0, 1, 2 and θ = (0, 0, π), (π, π, 0), (π, π, π), resulting in more lowmomentum data points than our former results [43,44]. Some missing points of forD 0 1 in the figure are due to bad signal such that no stable plateau can be extracted even if the ratio method of Eq.…”

Section: A Charmed Meson Mass and Dispersion Relationsmentioning

confidence: 96%

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Lattice study of(D¯1D)
Chen
¹
,
Chen
²
,
Gong
³

et al. 2016
Phys. Rev. D*
15
1
10
0
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In this exploratory lattice study, low-energy near threshold scattering of the (D1D * ) ± meson system is analyzed using lattice QCD with N f = 2 twisted mass fermion configurations. Both swave (J P = 0 − ) and p-wave (J P = 1 + ) channels are investigated. It is found that the interaction between the two charmed mesons is attractive near the threshold in both channels. This calculation provides some hints in the searching of resonances or bound states around the threshold of (D1D * ) ± system. trum of B → Kπ ± ψ decays with indefinite quantum numbers. Later on, updated results indicate that the most favored quantum numbers is 1 + with significance of 6.4σ, while the second probable one is 0 − with significance 4.6σ [3]. In 2014, LHCb observed a resonant structure in B 0 → K + π − ψ decays with unambiguously determined quantum number of 1 + and also excluded the possibility ofD 1 D * threshold effect interpretation because of the positive parity [4]. Recently, LHCb confirms their results in a model-independent way [5].

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Tetraquark candidateZ_c(3900) from coupled-channel scattering - how to extract hadronic interactions? -

Ikeda

2018

EPJ Web Conf.

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We present recent progress of lattice QCD studies on hadronic interactions which play a crucial role to understand the properties of atomic nuclei and hadron resonances. There are two methods, the plateau method (or the direct method) and the HAL QCD method, to study the hadronic interactions. In the plateau method, the determination of a ground state energy from the temporal correlation functions of multi-hadron systems is a key to reliably extract the physical observables. It turns out that, due to the contamination of excited elastic scattering states nearby, one can easily be misled by a fake plateau into extracting the ground state energy. We introduce a consistency check (sanity check) which can rule out obviously false results obtained from a fake plateau, and find that none of the results obtained at the moment for two-baryon systems in the plateau method pass the test. On the other hand, the HAL QCD method is free from the fake-plateau problem. We investigate the systematic uncertainties of the HAL QCD method, which are found to be well controlled. On the basis of the HAL QCD method, the structure of the tetraquark candidate Zc(3900), which was experimentally reported in e+e- collisions, is studied by the s-wave two-meson coupled-channel scattering. The results show that the Zc(3900) is not a conventional resonance but a threshold cusp. A semi-phenomenological analysis with the coupled-channel interaction to the experimentally observed decay mode is also presented to confirm the conclusion.

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Erratum: Extended Simpson’s rule for the screened Cornell potential in momentum space [Phys. Rev. D 86, 036013 (2012)]

Cited by 7 publications

References 0 publications

P -wave coupled channel effects in electron-positron annihilation

P -wave coupled channel effects in electron-positron annihilation

Lattice study of(D¯1D)
Chen
¹
,
Chen
²
,
Gong
³

et al. 2016
Phys. Rev. D*
15
1
10
0
View full text Add to dashboard Cite

Tetraquark candidateZ_c(3900) from coupled-channel scattering - how to extract hadronic interactions? -

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Erratum: Extended Simpson’s rule for the screened Cornell potential in momentum space [Phys. Rev. D 86, 036013 (2012)]

Cited by 7 publications

References 0 publications

P -wave coupled channel effects in electron-positron annihilation

P -wave coupled channel effects in electron-positron annihilation

Lattice study of(D¯1D*)Chen1, Chen2, Gong3 et al. 2016Phys. Rev. D151100View full textAdd to dashboardCite

Tetraquark candidateZc(3900) from coupled-channel scattering - how to extract hadronic interactions? -

Contact Info

Product

Resources

About

Lattice study of(D¯1D)
Chen
¹
,
Chen
²
,
Gong
³

et al. 2016
Phys. Rev. D*
15
1
10
0
View full text Add to dashboard Cite

Tetraquark candidateZ_c(3900) from coupled-channel scattering - how to extract hadronic interactions? -