Abstract
In this article, we construct the axialvector-diquark–scalar-diquark–antiquark type and the axialvector-diquark–axialvector-diquark–antiquark type interpolating currents, and study the JP=32± hidden-charm pentaquark states with the strangeness S=0,−1,−2,−3 systematically using the QCD sum rules. The predicted masses of the pentaquark states Puud1012(32−), Puud1112(32−) and Puud1132(32−) are compatible with the experimental value MPc(4380)=4380±8±29 MeV from the LHCb collaboration, more experimental data are still needed to identify the Pc(4380) unambiguously.
Highlights
In 2015, the sponds to anLinHteCgbractoedllalubmoriantoiosintystoufd3iefbd−t1haecΛqu0b ir→edJw/iψthKt−hpe decays with the data LHCb detector from 7 sample correand 8 TeV pp collisions, and observed two pentaquark candidates Pc(4380) and Pc(4450) in the J/ψp invariant mass distributions with the significances of more than 9 standard deviations [1]
J/ψp or J/ψK− contributions with minimal assumptions about K−p contributions, and observed that at more than 9 standard deviations the Λ0b → J/ψK−p decays cannot be described with the K−p contributions alone, and the J/ψp contributions play a dominant role in this incompatibility, and obtained model-independent support for the evidences of the Pc+(4380/4500) → J/ψp decays [2]
The LHCb collaboration performed a full amplitude analysis of the Λ0b → J/ψπ−p decays allowing for previously observed conventional and exotic (J/ψp and J/ψπ−) resonances, and observed that a significantly better description of the data can be achieved by either including the two Pc+(4380/4450) states or the Zc−(4200) state [3]
Summary
LinHteCgbractoedllalubmoriantoiosintystoufd3iefbd−t1haecΛqu0b ir→edJw/iψthKt−hpe decays with the data LHCb detector from 7 sample correand 8 TeV pp collisions, and observed two pentaquark candidates Pc(4380) and Pc(4450) in the J/ψp invariant mass distributions with the significances of more than 9 standard deviations [1]. We resort to the same routine as that in Refs.[9, 10, 11] to study the masses and pole residues of the 3± 2 hidden-charm pentaquark states with the QCD sum rules by constructing the axialvector-diquark-scalar-diquark-antiquark type and axialvector-diquarkaxialvector-diquark-antiquark type interpolating currents, and revisit the assignment of the Pc(4380). We can take the quark-hadron duality below the continuum thresholds s0 and obtain the following QCD sum rules: s0 ds √sρqjL1qj2Hqj3,1(s) + mcρqjL1qj2Hqj3,0(s) exp. Eliminate the λ±P and obtain the QCD sum rules for the masses of the hidden-charm pentaquark states MP2,∓, MP2,− = MP2,+ =. We obtain the masses through fractions, see Eqs.(29-30), the contributions involving the gluon condensate in the numerator and denominator are canceled out with each other, the main effects of the gluon condensates can be safely absorbed into the pole residues λ±P and the remaining tiny effects on the masses can be safely neglected
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