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Wu, Teng; Blanchard, John W.; Centers, Gary P.; Figueroa, Nataniel L.; Garcon, Antoine; Graham, Peter W.; Kimball, Derek F. Jackson; Rajendran, Surjeet; Stadnik, Y. V.; Sushkov, Alexander O.; Wickenbrock, Arne; Budker, Dmitry

doi:10.1103/physrevlett.123.169002

Cited by 41 publications

(69 citation statements)

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“…The result of our calculations are depicted by for uds-cc, by for udc-cs, by for usc-cd. The results of other theoretical predictions for udscc pentaquark are denoted by for the color-magnetic interaction based study [3], ♦ for the framework of the coupled channel unitary approach with the local hidden gauge formalism [21][22][23], for the quark model result [5].…”

Section: Discussion and Summarymentioning

confidence: 99%

“…Note that recently the LHCb collaboration has observed a three peak structure [2] using an updated analysis. The pentaquark states, including the above hidden-charm pentaquark states, were theoretically studied using quark models [3][4][5], diquark models [6][7][8][9][10][11][12][13][14][15], hadronic molecular states [16][17][18][19][20], the coupledchannel unitary approach [21][22][23], the contact-range effective field theory [24], and the hadroquarkonia model [25]. For a review on the hidden-charm multiquark states, see [26].…”

Section: Introductionmentioning

confidence: 99%

“…To discuss the symmetry properties of the constructed three-quark currents in the color-spin subspace, we consider the six-dimensional fundamental representation of the SU (6) group [33,34] composed of the tensor product of the color SU (3) color and the spin SU (2) spin subgroups. Representing a quark by its dimension (3,2) where the first (second) corresponds to the dimension of SU (3) color (SU (2) spin ) subgroup, we have (3, 2)⊗(3, 2)⊗(3, 2) = (8, 2)⊕(8, 4)⊕ · · · , where only two irreducible representations are shown. The first term on the right-hand side has spin 1/2 and belongs to the fully symmetric 56-plet representation, while the second term has spin 3/2 and belongs to the mixed symmetric 76-plet of the full SU (6) group.…”

Section: Introductionmentioning

confidence: 99%

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Hidden-charm pentaquarks with color-octet substructure in QCD sum rules

2020

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We study the hidden-charm pentaquark states udscc with spins 1/2, 3/2, and 5/2 within the QCD sum-rule approach. First, we construct the currents for the particular configuration of pentaquark states that consist of the flavor singlet three-quark cluster uds of spins 1/2 and 3/2 and the twoquark clustercc of spin 1, where both clusters are in a color-octet state. To obtain QCD sum rules, the operator product expansion for the correlators is performed up to dimension-10 condensates. The extracted masses from QCD sum rules for the hidden-charm pentaquark states uds-cc are about 4.6 GeV (5.6 GeV) for spin 1/2 ± , about 5.1 GeV (6.0 GeV) for spin 3/2 ± , about 6.1 GeV (5.9 GeV) for spin 5/2 ± , where the masses of the positive parity states are given in parentheses. Additionally, based on the flavor singlet pentaquark states, it is also shown that other pentaquark states of clusters like udc-cs and usc-cd lead to masses similar to the uds-cc case within error bars. Furthermore, in order to see whether any of the states, observed by the LHCb Collaboration, could be understood as the pentaquark of two clusters in the color-octet state, we study the pentaquark formed by the two clusters udc-cu, where the three-quark cluster is assumed to have the same flavor structure as the above uds cluster. We come to the conclusion that if the observed pentaquark will be found to have spin 1/2 and negative parity, then it could be described as a state of two color-octet clusters. * Electronic address: pimikov@mail.ru since it has been shown in [5] that such clusters of uds andcc yielded the most stable result. To check this assumption, we consider the pentaquark states containing a scalar two-quark cluster and find that such states lead to higher masses than those obtained from pentaquarks with a two-quark cluster of spin 1. Then, we also examine other possible pentaquark states containing the two clusters udc-cs and usc-cd by extending the results of the flavor singlet uds andcc case. Furthermore, the pentaquark states of the two color-octet clusters udc-cu are studied to see if any of the states observed by LHCb could be understood in terms of pentaquark state with color-octet substructure. This paper is organized as follows. Using the above assumptions, we construct in Sec. II the interpolating currents for the hidden-charm pentaquark states with spins 1/2, 3/2, and 5/2 in the form of a product of the currents for these two clusters aswith the color index m. We perform the operator product expansion (OPE) for the correlators with the interpolating currents in Sec. III and present the system of the employed QCD sum rules in Sec. IV. Furthermore, since the relativistic interpolating currents for the fermions can be coupled to the two states with opposite parities when the QCD sum rules are constructed, we discuss how to extract the contribution to a state with definite parity from the system of the QCD sum rules in Sec. IV. Finally, a comprehensive discussion of the results is given in Sec. V.

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Section: Discussion and Summarymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Hidden-charm pentaquarks with color-octet substructure in QCD sum rules

2020

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“…Sm, 169 Eu, 171 Gd, 173 Tb, 174 Tb, 175 Dy, 176 Dy, 177 Ho, 178 Ho, 179 Er, 180 Er 104 Rb, 113 Zr, 116 Nb, Tc, 125 Ru, 128 Rh, 130 Pd, 131 Pd, 140 Sn, 142 Sb, 145 Te, 146 I, 147 I, 149 Xe, 150 Xe, 157 La Ca, 60 Ca, 62 Sc, 59 K 28 Cl, 30 Cl , La, 156,157,158 Ce, 156,157,158,159,160,161 Pr, 162,163 Nd, 164,165 Pm, 166,167 Sm, 169 Eu, 171 Gd, 173,174 Tb, 175,176 Dy, 177,178 Ho, and 179,180 Er." However, Fukuda et al is only credited with the discovery of the 15 isotopes listed inTable 1as the others had previously been reported by Wu 19. Unfortunately, Fukuda et al did neither acknowledge nor reference the earlier paper.In the paper "Observation of new neutron-rich isotopes among fission fragments from in-flight fission of 345 MeV/nucleon 238 U: Search for new isotopes conducted concurrently with decay measurement campaigns" Shimizu et al reported the discovery of 17 new nuclides 12.…”

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confidence: 99%

2018 update of the discoveries of nuclides

Thoennessen

2019

Int. J. Mod. Phys. E

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“…12) near the KK thresholds. An attempt to explain the decay η(1405) → f 0 (980)π 0 → π + π − π 0 invoking that mechanism was made in [126][127][128]. Shortly after that, we noted that in the calculations, the vector K * meson K * (892) was considered a stable particle in the intermediate state; we showed in [135] that taking its finite width Γ K * ≈ Γ K * →Kπ ≈ 50 MeV into account smoothes the logarithmic singularities in the amplitude and reduces the calculated probability of the decay η(1405) → f 0 (980)π 0 → π + π − π 0 by a factor of 6 to 8 compared to that with Γ K * = 0.…”

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confidence: 99%

Strong isospin symmetry breaking in light scalar meson production

Achasov

Shestakov

2019

Phys.-Usp.

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Siberian Branch of the Russian Academy of Sciences, prosp. Akademika Koptyuga 4, 630090 Novosibirsk, Russian FederationIsospin symmetry breaking is discussed as a tool for studying the nature and production mechanisms of light scalar mesons. We are concerned with isospin breaking effects with an amplitude ∼ √ m d − mu (instead of the usual ∼ m d − mu), where mu and m d are the u and d quark masses, whose magnitude and phase vary with energy in a resonance-like way characteristic of the KK threshold region. We consider a variety of reactions that can experimentally reveal (or have revealed) the mixing of a 0 0 (980) and f0 (980) resonances that breaks the isotopic invariance due to the mass difference between K + and K 0 mesons. Experimental results on the search for a 0 0 (980) − f0(980) mixing in f1(1285) → f0(980)π 0 → π + π − π 0 and η(1405) → f0(980)π 0 → π + π − π 0 decays suggest a broader perspective on the isotopic symmetry breaking effects due to the K + and K 0 mass difference. It has become clear that not only the a 0 0 (980) − f0(980) mixing but also any mechanism producing KK pairs with a definite isospin in an S wave gives rise to such effects, thus suggesting a new tool for studying the nature and production mechanisms of light scalars. Of particular interest is the case of a large isotopic symmetry breaking in the η(1405) → f0(980)π 0 → π + π − π 0 decay due to the occurrence of anomalous Landau thresholds (logarithmic triangle singularities), i.e., due to the η(1405) → (K * K +K * K) → (K + K − + K 0K 0 )π 0 → f0(980)π 0 → π + π − π 0 transition (where it is of fundamental importance that the K * meson has a finite width).

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Wu et al. Reply:

Cited by 41 publications

References 2 publications

Hidden-charm pentaquarks with color-octet substructure in QCD sum rules

Hidden-charm pentaquarks with color-octet substructure in QCD sum rules

2018 update of the discoveries of nuclides

Strong isospin symmetry breaking in light scalar meson production

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