Bound states of quarks

Lucha, Wolfgang; Schöberl, Franz F.; Gromes, Dieter

doi:10.1016/0370-1573(91)90001-3

Cited by 653 publications

(446 citation statements)

References 190 publications

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“…In QCD, however, the three-body force among three quarks is expected to be a "primary" force reflecting the SU(3) c gauge symmetry. Indeed, the three quark (3Q) potential [1,2,3] is directly responsible to the structure and properties of baryons [4], similar to the relevant role of the Q-Q potential upon meson properties [5]. In contrast with a number of studies on the Q-Q potential using lattice QCD [6,7], there were only a few lattice QCD studies for the 3Q potential done mainly more than 13 years ago [8,9,10,11].…”

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confidence: 99%

Three-Quark Potential in SU(3) Lattice QCD

et al. 2001

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The static three-quark (3Q) potential is studied in SU(3) lattice QCD with 12 3 × 24 and β = 5.7 at the quenched level. From the 3Q Wilson loop, 3Q ground-state potential V3Q is extracted using the smearing technique for ground-state enhancement. With accuracy better than a few %, V3Q is well described by a sum of a constant, the two-body Coulomb term and the three-body linear confinement term σ3QLmin, with Lmin the minimal value of total length of color flux tubes linking the three quarks. Comparing with the Q-Q potential, we find a universal feature of the string tension, σ3Q ≃ σ QQ , and the OGE result for Coulomb coefficients, A3Q ≃ 1 2In usual, the three-body force is regarded as a residual interaction in most fields of physics. In QCD, however, the three-body force among three quarks is expected to be a "primary" force reflecting the SU(3) c gauge symmetry. Indeed, the three quark (3Q) potential [1,2,3] is directly responsible to the structure and properties of baryons [4], similar to the relevant role of the Q-Q potential upon meson properties [5]. In contrast with a number of studies on the Q-Q potential using lattice QCD [6,7], there were only a few lattice QCD studies for the 3Q potential done mainly more than 13 years ago [8,9,10,11]. (In Ref.[11], the author only showed a preliminary result on the equilateral-triangle case without enough analyses.) In Refs. [8,10,11], the 3Q potential seemed to be expressed by a sum of twobody potentials, which supports the ∆-type flux tube picture [12]. On the other hand, Ref. [9] seemed to support the Y-type flux-tube picture [2,4] rather than the ∆-type one. These controversial results may be due to the difficulty of the accurate measurement of the 3Q ground-state potential in lattice QCD. For instance, in Refs. [8,10], the authors did not use the smearing for ground-state enhancement, and therefore their results may include serious contamination from the excited-state component.The 3Q static potential can be measured with the 3Q Wilson loop, where the 3Q gauge-invariant state is generated at t = 0 and is annihilated at t = T , as shown in Fig.1. Here, the three quarks are spatially fixed in R 3 for 0 < t < T . The 3Q Wilson loop W 3Q is defined in a gauge-invariant manner aswithHere, P denotes the path-ordered product along the path denoted by Γ k in Fig.1. Similar to the derivation of the Q-Q potential from the Wilson loop, the 3Q potential V 3Q is obtained asPhysically, the true ground state of the 3Q system, which is of interest here, is expected to be expressed by the flux tubes instead of the strings, and the 3Q state which is expressed by the three strings generally includes many excited-state components such as flux-tube vibrational modes. Of course, if the large T limit can be taken, the ground-state potential would be obtained. However, W 3Q decreases exponentially with T , and then the practical measurement of W 3Q becomes quite severe for large T in lattice QCD simulations. Therefore, for the accurate measurement of the 3Q ground-state potentia...

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Three-Quark Potential in SU(3) Lattice QCD

et al. 2001

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“…The short-distance part was the well-known Coulomb potential, whereas the long-distance component, the gluon condensate contribution, emerged as a quartic potential m r 4 and is mass-, i.e., flavour-dependent. In this respect it differed considerably from the familiar mass-independent, rather flat potential models [12][13][14][15]. However, for a final comparison with potential models one has to go further and take into account the higher order fluctuations [16].…”

Section: Figmentioning

confidence: 96%

Bell’s Universe: A Personal Recollection

Bertlmann

2016

Quantum [Un]Speakables II

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My collaboration and friendship with John Bell is recollected. I will explain his outstanding contributions in particle physics, in accelerator physics, and his joint work with Mary Bell. Mary's work in accelerator physics is also summarized. I recall our quantum debates, mention some personal reminiscences, and give my personal view on Bell's fundamental work on quantum theory, in particular, on the concept of contextuality and nonlocality of quantum physics. Finally, I describe the huge influence Bell had on my own work, in particular on entanglement and Bell inequalities in particle physics and their experimental verification, and on mathematical physics, where some geometric aspects of the quantum states are illustrated.

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“…s s [9] and the strength parameter a = 0.003 GeV 3 [10] for the light and heavy-light diquarks, V being the average value of the one gluon exchange type of potential. "r" is the radius parameter of the diquark.…”

Section: Quasi Particle Model Of Diquark and Temperature Dependence Omentioning

confidence: 99%

Temperature Dependent Diquark and Baryon Masses

Chandra¹,

Bhattacharya²,

Chakrabarti³

2013

JMP

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Temperature dependence of diquark mass has been investigated in the frame work of the quasi particle diquark model. The effective mass of the diquark has been suggested to have a temperature dependence which shows a power law behavior. The variation of the diquark mass with temperature has been studied. A decrease in effective mass at temperature T < T c , where T c is the critical temperature has been observed. Some features of the phase transition have been discussed. The phase transition is found to be of second order. Temperature variation of baryon masses has also been studied. The results are compared and discussed with available works.

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Bound states of quarks

Cited by 653 publications

References 190 publications

Three-Quark Potential in SU(3) Lattice QCD

Three-Quark Potential in SU(3) Lattice QCD

Bell’s Universe: A Personal Recollection

Temperature Dependent Diquark and Baryon Masses

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