Tetraquarks, hadronic molecules, meson-meson scattering, and disconnected contributions in lattice QCD

Guo, Feng-Kun; Liu, Liuming; Meißner, Ulf‐G.; Wang, Ping

doi:10.1103/physrevd.88.074506

Cited by 35 publications

(26 citation statements)

References 75 publications

(75 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[16,17] at two pion masses, and the obtained values agree with the ones from the indirect calculation in Ref. [18].In lattice QCD, the isoscalar DK scattering is relatively difficult because of the presence of the disconnected Wick contractions which are of leading order at both the 1/N c expansion and chiral expansion [19]. In Ref.…”

Section: Introductionsupporting

confidence: 78%

Strong and radiative decays of the D s0 * (2317) and Ds1(2460)

et al. 2014

Self Cite

View full text Add to dashboard Cite

Since their discovery in 2003, the open charm states D * s0 (2317) and D s1 (2460) provide a challenge to the conventional quark model. In recent years, theoretical evidence has been accumulated for both states in favor of a predominantly DK and D * K molecular nature, respectively. However, a direct experimental proof of this hypothesis still needs to be found. Since radiative decays are generally believed to be sensitive to the inner structure of the decaying particles, we study in this work the radiative and strong decays of both the D * s0 (2317) and D s1 (2460), as well as of their counterparts in the bottom sector. While the strong decays are indeed strongly enhanced for molecular states, the radiative decays are of similar order of magnitude in different pictures. Thus, the experimental observable that allows one to conclusively quantify the molecular components of the D * s0 (2317) and D s1 (2460) is the hadronic width, and not the radiative one, in contradistinction to common belief. We also find that radiative decays of the sibling states in the bottom sector are significantly more frequent than the hadronic ones. Based on this, we identify their most promising discovery channels. *

show abstract

Section: Introductionsupporting

confidence: 78%

Strong and radiative decays of the D s0 * (2317) and Ds1(2460)

et al. 2014

Self Cite

View full text Add to dashboard Cite

show abstract

“…Reference [20] reported the possibility of smaller widths of the order of . The -analysis of meson–meson scattering amplitudes, in connection with lattice calculations, has also been presented in [21]. …”

Section: Introductionmentioning

confidence: 99%

Tetraquark and two-meson states at large $$N_{\mathrm {c}}$$ N c

2017

View full text Add to dashboard Cite

Considering four-point correlation functions of color-singlet quark bilinears, we investigate, in the large- limit of QCD, the subleading diagrams that involve, in the s-channel of meson–meson scattering amplitudes, two-quark–two-antiquark intermediate states. The latter contribute, together with gluon exchanges, to the formation, at the hadronic level, of two-meson and tetraquark intermediate states. It is shown that the two-meson contributions, which are predictable, in general, from leading-order -behaviors, consistently satisfy the constraints resulting from the expansion procedure and thus provide a firm basis for the extraction of tetraquark properties from -subleading diagrams. We find that, in general, tetraquarks, if they exist in compact form, should have narrow decay widths, of the order of . For the particular case of exotic tetraquarks, involving four different quark flavors, two different types of tetraquark are needed, each having a preferred decay channel, to satisfy the consistency constraints.

show abstract

“…We can expect reasonable results even with this omission as the numerical values of C 1 (t) are much larger than the other contributions, but exhibit little to no sign of exponential decay. On the other hand, we do include the partially disconnected diagram C 2 (t), which it has been argued in [40] is the most important one to include and should "never" be neglected (although several of the studies mentioned in the introduction do so). Figure 2 shows the rest-mass energy of the ground state in the two-pion channel obtained from the correlation function…”

Section: Resultsmentioning

confidence: 99%

The sigma meson from lattice QCD with two-pion interpolating operators

Howarth

Giedt

2017

Int. J. Mod. Phys. C

View full text Add to dashboard Cite

In this article we describe our studies of the sigma meson, f 0 (500), using two-pion correlation functions. We use lattice quantum chromodynamics in the quenched approximation with so-called clover fermions. By working at unphysical pion masses we are able to identify a would-be resonance with mass less than 2m π , and then extrapolate to the physical point. We include the most important annihilation diagram, which is "partially disconnnected" or "single annihilation." Because this diagram is quite expensive to compute, we introduce a somewhat novel technique for the computation of all-to-all diagrams, based on momentum sources and a truncation in momentum space. In practice, we use only p = 0 modes, so the method reduces to wall sources. At the point where the mass of the pion takes its physical value, we find a resonance in the 0 ++ two-pion channel with a mass of approximately 609 ± 80 MeV, consistent with the expected properties of the sigma meson, given the approximations we are making. arXiv:1508.05658v2 [hep-lat]

show abstract

Tetraquarks, hadronic molecules, meson-meson scattering, and disconnected contributions in lattice QCD

Cited by 35 publications

References 75 publications

Strong and radiative decays of the D s0 * (2317) and Ds1(2460)

Strong and radiative decays of the D s0 * (2317) and Ds1(2460)

Tetraquark and two-meson states at large $$N_{\mathrm {c}}$$ N c

The sigma meson from lattice QCD with two-pion interpolating operators

Contact Info

Product

Resources

About