Lattice QCD study of the 
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 dibaryon using hexaquark and two-baryon interpolators

Francis, Anthony; Junnarkar, Parikshit; Wittig, Hartmut; Miao, C.; Rae, Thomas; Green, Jeremy R.

doi:10.1103/physrevd.99.074505

Cited by 86 publications

(106 citation statements)

References 59 publications

(126 reference statements)

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“…In fact a few lattice QCD studies have already been carried out [21][22][23]. However, those are mainly focused on light quarks with spin-0 states [21][22][23][24], studies of deuteron in Refs. [25,26] as well as studies of spin-2 states [27].…”

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confidence: 99%

Deuteronlike Heavy Dibaryons from Lattice Quantum Chromodynamics

Junnarkar

Mathur

2019

Phys. Rev. Lett.

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We report the first lattice quantum chromodynamics (QCD) study of deuteron(np)-like dibaryons with heavy quark flavours. These include particles with following dibaryon structures and valence quark contents: ΣcΞcc(uucucc), ΩcΩcc(sscscc), Σ b Ξ bb (uububb), Ω b Ω bb (ssbsbb) and Ω ccb Ω cbb (ccbcbb), and with spin (J)-parity (P ), J P ≡ 1 + . Using a state-of-the art lattice QCD calculation, after controlling relevant systematic errors, we unambiguously find that the ground state masses of dibaryons ΩcΩcc(sscscc), Ω b Ω bb (ssbsbb) and Ω ccb Ω cbb (ccbcbb) are below their respective two-baryon thresholds, suggesting the presence of bound states which are stable under strong and electromagnetic interactions. We also predict their masses precisely. For dibaryons ΣcΞcc(uucucc), and Σ b Ξ bb (uububb), we could not reach to a definitive conclusion about the presence of any bound state due to large systematics associated with these states. We also find that the binding of these dibaryons becomes stronger as they become heavier in mass. This study also opens up the possibility of the existence of many other exotic nuclei, which can be formed through the fusion of heavy baryons, similar to the formation of nuclei of elements in the Periodic Table. PACS numbers: 12.38.Gc, 14.20.Lq and name them as Dq 1 q 2 , which are made of two baryons with valence quark contents (q 1 q 1 q 2 ) and (q 1 q 2 q 2 ). In this notation the deuteron is D ud ≡ np(uududd). Such dibaryons may be called as D-dibaryons. arXiv:1906.06054v1 [hep-lat]

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confidence: 99%

Deuteronlike Heavy Dibaryons from Lattice Quantum Chromodynamics

Junnarkar

Mathur

2019

Phys. Rev. Lett.

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“…Presently, LQCD calculations of light nuclei properties are being performed at unphysically heavy quark masses, for which the binding momenta exceed their real-world values [41,47,[84][85][86]. In addition the properties of states can be shifted, e.g.…”

Section: Arxiv:190910357v1 [Hep-lat] 23 Sep 2019mentioning

confidence: 99%

“…V B, considers the analytic continuation of the formalism below two-particle threshold, for theories with an S-wave bound state. We show that the finite-and infinite-volume matrix elements coincide (once normalization factors are accounted for) up to term scaling as e −κBL , where κ 2 B = m 2 − M 2 B /4 defines the binding momentum for two constituents of mass m, binding to a mass of M B .Presently, LQCD calculations of light nuclei properties are being performed at unphysically heavy quark masses, for which the binding momenta exceed their real-world values [41,47,[84][85][86]. In addition the properties of states can be shifted, e.g.…”

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confidence: 99%

“…The increased binding suppresses finite-volume effects and this has permitted exploratory calculations of matrix elements of these states [90][91][92][93][94], in which volume effects are ignored.As LQCD calculations of multi-nucleon systems move towards physical quark masses, the binding momenta of the nuclei decrease and it is well-known that finite-volume effects of the naively extracted states can become a dominant source of systematic uncertainty [18,95,96]. In the case of spectroscopy, an infinite series of e −κBL corrections can be removed by applying the Lüscher formalism, as was done in [41,86] as well as in a wide variety of mesonic channels where bound states appear [42,46,53,54,57,58]. The results of this work stress that it is important to pursue the same paradigm for matrix elements of loosely bound states, using the formalism of Refs.…”

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confidence: 99%

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Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states

2019

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Recently, a framework has been developed to study form factors of two-hadron states probed by an external current. The method is based on relating finite-volume matrix elements, computed using numerical lattice QCD, to the corresponding infinite-volume observables. As the formalism is complicated, it is important to provide non-trivial checks on the final results and also to explore limiting cases in which more straightforward predications may be extracted. In this work we provide examples on both fronts. First, we show that, in the case of a conserved vector current, the formalism ensures that the finite-volume matrix element of the conserved charge is volume-independent and equal to the total charge of the two-particle state. Second, we study the implications for a twoparticle bound state. We demonstrate that the infinite-volume limit reproduces the expected matrix element and derive the leading finite-volume corrections to this result for a scalar current. Finally, we provide numerical estimates for the expected size of volume effects in future lattice QCD calculations of the deuteron's scalar charge. We find that these effects completely dominate the infinite-volume result for realistic lattice volumes and that applying the present formalism, to analytically remove an infinite-series of leading volume corrections, is crucial to reliably extract the infinite-volume charge of the state. * 1 Similar outstanding puzzles are present in the heavy quark sector; see Refs.[5] and [6] for recent reviews. arXiv:1909.10357v1 [hep-lat] 23 Sep 2019The primary formal challenge arises from the fact that LQCD calculations are necessarily performed in a finite Euclidean spacetime, where the definition of asymptotic states is obscured. One of the leading methods to overcome this issue is to derive and apply non-perturbative mappings between finite-volume energies and matrix elements (directly calculable via numerical LQCD) and infinite-volume scattering and transition amplitudes. 2 This approach was first introduced by Lüscher [13,14], in seminal work relating the spectrum of two-particle states in a cubic volume with periodicty L, to the corresponding infinite-volume amplitudes. The idea has since been extended for arbitrary two-particle scattering [15][16][17][18][19][20][21][22][23] and more recently to three particles [24][25][26][27][28][29][30][31][32][33], with the latter currently limited to identical scalars (or pseudoscalars). The two-particle relations have made possible the determination of hadronic scattering amplitudes for a wide range of particle species [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52], including energies where multiple channels are kinematically open [53][54][55][56][57][58][59][60][61]. Most recently, the first LQCD calculations to constrain three-particle interactions using excited states were performed in Refs. [62][63][64].Electroweak interactions involving scattering states can also be accessed using LQCD, via a generalization of the methods described above. The ...

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“…The high cost of constructing a complete cross-correlator from a large set of baryonic interpolators has held back calculations with baryons, which have only recently begun applying any truly positive-definite variational method [79].…”

Section: Spatially-displaced Two-nucleon Operatorsmentioning

confidence: 99%