Four-quark binding energies from SU(2) lattice Monte Carlo

A potential model for four interacting quarks is constructed in SU(2) from six basis states -the three partitions into quark pairs, where the gluon field is either in its ground state or first excited state. With four independent parameters to describe the interactions connecting these basis states, it is possible to fit 100 pieces of data -the ground and first excited states of configurations from six different four-quark geometries calculated on a 16 3 × 32 lattice.

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“…Also, remembering the fact that the quarks are indeed fermions gives, in the weak coupling limit, the condition in the appendix of Ref. [5] |A…”

Section: The Model With 2 3 or 6 Basis Statesmentioning

confidence: 99%

Interquark potential model for multiquark systems

Green

Pennanen

1998

Phys. Rev. C

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“…( 18), we get first integral equation for k=1 and by putting expressions from eqs. (A5), (A8), (A2), (A20), (A27) and (A11) in (18), we get the second integral equation for k =2 that we have shown as eq. ( 22).…”

Section: Appendix Amentioning

confidence: 88%

“…( 9), (10) and (11) below) in off-diagonal elements in the overlap, potential and kinetic energy matrices of the model. The additional parameter in f minimizes difference between the two quark two antiquark binding in the improved model to the binding resulting from relevant lattice-generated QCD simulations by UKQCD [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

$\bar{D}^{0}D^{0}$ $(D^{0}\bar{D}^{0})$ System in QCD-Improved Many Body Potential

Jamil,

Masud,

Akram

et al. 2011

Preprint

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For a system of current interest (composed of charm, anticharm quarks and a pair of light ones), we show trends in phenomenological implications of QCD-based improvements to a simple quark model treatment. We employ resonating group method to render this difficult four-body problem manageable. We use a quadratic confinement so as to be able to improve beyond the Born approximation. We report the position of the pole corresponding to D0 D 0 * molecule for the best fit of a model parameter to the relevant QCD simulations. We point out the interesting possibility that the pole can be shifted to 3872 MeV by introducing another parameter I 0 that changes the strength of the interaction in this one component of X(3872). The revised value of this second parameter can guide future trends in modeling of the full exotic meson X(3872). We also report the changes with I 0 in the S-wave spin averaged cross sections for D0 D 0 * −→ ωJ/ψ and D0 D 0 * −→ ρJ/ψ. These cross sections are important regarding the study of QGP (quark gluon plasma).

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“…However, this potential is not yet sufficiently defined to completely address tetraquarks. It has been pointed out [77][78][79][80][81] that we also need a potential for color excited states, otherwise there would be solutions which wouldn't be color singlets.…”

Section: B Color Statesmentioning

confidence: 99%

Tetraquark bound states and resonances in the unitary and microscopic triple string flip-flop quark model, the light-light-antiheavy-antiheavy $q q \bar Q\bar Q$ case study

Bicudo,

Cardoso

2015

Preprint

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We address qq Q Q exotic tetraquark bound states and resonances with a fully unitarized and microscopic quark model. We propose a triple string flip-flop potential, inspired in lattice QCD tetraquarks static potentials and fluxtubes, combining meson-meson and tetraquark potentials. Our potential goes up to the color excited potential, but neglects spin-tensor potentials. To search for bound states and resonances, we first solve the two-body mesonic problem. Then we develop fully unitary techniques to address the four-body tetraquark problem. We fold the four-body Shcrödinger equation with the mesonic wavefunctions, transforming it into a two-body meson-meson problem with non-local potentials. We find bound states for some quark masses numbers, including the one reported in lattice QCD. Moreover, we also find resonances and calculate their masses and widths, by computing the T matrix and finding it's pole positions in the complex energy plane, for some quantum numbers.However a detailed analysis of the quantum numbers where binding exists shows a discrepancy with recent lattice QCD results for the ll bb tetraquark bound states. We conclude that the string flip-flop models need further improvement.

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Four-quark binding energies from SU(2) lattice Monte Carlo

Cited by 10 publications

References 21 publications

Interquark potential model for multiquark systems

Interquark potential model for multiquark systems

$\bar{D}^{0}D^{0}$ $(D^{0}\bar{D}^{0})$ System in QCD-Improved Many Body Potential

Tetraquark bound states and resonances in the unitary and microscopic triple string flip-flop quark model, the light-light-antiheavy-antiheavy $q q \bar Q\bar Q$ case study

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Four-quark binding energies from SU(2) lattice Monte Carlo

Cited by 10 publications

References 21 publications

Interquark potential model for multiquark systems

Interquark potential model for multiquark systems

$\bar{D}^{0}D^{0*}$ $(D^{0}\bar{D}^{0*})$ System in QCD-Improved Many Body Potential

Tetraquark bound states and resonances in the unitary and microscopic triple string flip-flop quark model, the light-light-antiheavy-antiheavy $q q \bar Q\bar Q$ case study

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Product

Resources

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$\bar{D}^{0}D^{0}$ $(D^{0}\bar{D}^{0})$ System in QCD-Improved Many Body Potential