Quark confinement and hadronic interactions

Lenz, F.; Londergan, J. T.; Moniz, Ernest J.; Rosenfelder, R.; Stingl, M.; Yazaki, K.

doi:10.1016/0003-4916(86)90088-6

Cited by 194 publications

(95 citation statements)

References 26 publications

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“…No external input such as the orientation of a Dirac-string as in the dual color superconductor model [61] is needed. The CDM therefore incorporates the feature of string flip as used in the string-flip model [62][63][64][65]. For the situation of anti-parallel strings, the string flip is not a discontinuous process but a smooth transition.…”

Section: B Energy Distributionmentioning

confidence: 99%

Interactions of multiquark states in the chromodielectric model

et al. 2006

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We investigate 4-quark (qqqq) systems as well as multi-quark states with a large number of quarks and anti-quarks using the chromodielectric model. In the former type of systems the flux distribution and the corresponding energy of such systems for planar and non-planar geometries are studied. From the comparison to the case of two independent qq-strings we deduce the interaction potential between two strings. We find an attraction between strings and a characteristic string flip if there are two degenerate string combinations between the four particles. The interaction shows no strong Van-der-Waals forces and the long range behavior of the potential is well described by a Yukawa potential, which might be confirmed in future lattice calculations. The multi-quark states develop an inhomogeneous porous structure even for particle densities large compared to nuclear matter constituent quark densities. We present first results of the dependence of the system on the particle density pointing towards a percolation type of transition from a hadronic matter phase to a quark matter phase. The critical energy density is found at εc = 1.2 GeV/fm 3 .

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Section: B Energy Distributionmentioning

confidence: 99%

Interactions of multiquark states in the chromodielectric model

et al. 2006

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“…To correlate the nuclear-to-quark-matter transition to the in-medium properties of the J/ψ meson, a string-flip model is used [21]. Although we will refer explicitly to the J/ψ meson henceforth, our approach is applicable to any heavy meson (or baryon) added to the hadronic medium.…”

Section: Introductionmentioning

confidence: 99%

Color screening in a constituent quark model of hadronic matter

Sánchez

Piekarewicz

2004

Phys. Rev. C

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The effect of color screening on the formation of a heavy quark-antiquark (QQ) bound statesuch as the J/ψ meson-is studied using a constituent-quark model. The response of the nuclear medium to the addition of two color charges is simulated directly in terms of its quark constituents via a string-flip potential that allows for quark confinement within hadrons yet enables the hadrons to separate without generating unphysical long-range forces. Medium modifications to the properties of the heavy meson, such as its energy and its mean-square radius, are extracted by solving Schrödinger's equation for the QQ pair in the presence of a (screened) density-dependent potential. The density dependence of the heavy-quark potential is in qualitative agreement with earlier studies of its temperature dependence extracted from lattice calculations at finite temperature. In the present model it is confirmed that abrupt changes in the properties of the J/ψ-meson in the hadronic medium (plasma), correlate strongly with the deconfining phase transition.

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“…[1,2,4] Related geometries such as crossed wires [5] and elbows [3] have also been studied extensively. The primary focus has been on the existence of unanticipated bound states and on the "adiabatic" limit where the radius of curvature is always much greater than the width of the tube.…”

Section: Introductionmentioning

confidence: 99%

Bound states and threshold resonances in quantum wires with circular bends

Kang

1996

Phys. Rev. B

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We study the solutions to the wave equation in a two-dimensional tube of unit width comprised of two straight regions connected by a region of constant curvature. We introduce a numerical method which permits high accuracy at high curvature. We determine the bound state energies as well as the transmission and reflection matrices, T and R and focus on the nature of the resonances which occur in the vicinity of channel thresholds. We explore the dependence of these solutions on the curvature of the tube and angle of the bend and discuss several limiting cases where our numerical results confirm analytic predictions. † Present address:

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Quark confinement and hadronic interactions

Cited by 194 publications

References 26 publications

Interactions of multiquark states in the chromodielectric model

Interactions of multiquark states in the chromodielectric model

Color screening in a constituent quark model of hadronic matter

Bound states and threshold resonances in quantum wires with circular bends

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