Light and heavy hadron masses in a relativistic quark potential model with diquark clustering

Lichtenberg, D. B.; Namgung, W.; Wills, J. G.; Predazzi, E.

doi:10.1007/bf01572332

Cited by 51 publications

(13 citation statements)

References 28 publications

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“…Finally Brayshaw introduces a special short range attractive piece solely in order to obtain a good fit to the pion and kaon. Instead of a spin-dependent contact term used in a number of semirelativistic approaches [51,70,71] he uses…”

Section: B Comparison Of Fit With That Of Constraint Approachmentioning

confidence: 99%

“…The instantaneous Salpeter equation may have a natural smoothing mechanism, but has not been tested nonperturbatively for QED even though the equation is over 50 years old. Authors who have attempted to use these types of semi-relativistic equations to treat the entire meson spectrum include Lichtenberg [70](the third type), Stanley and Robson [71] and Godfrey and Isgur [51] (the second type), and Morpurgo, Ono, and Schöberl [46](the first type) . Each of these authors ignore the spin-independent part of the Fermi-Breit interaction.…”

Section: Approachmentioning

confidence: 99%

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Relativistic calculation of the meson spectrum: A fully covariant treatment versus standard treatments

2004

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A large number of treatments of the meson spectrum have been tried that consider mesons as quark -anti quark bound states. Recently, we used relativistic quantum "constraint" mechanics to introduce a fully covariant treatment defined by two coupled Dirac equations. For field-theoretic interactions, this procedure functions as a "quantum mechanical transform of Bethe-Salpeter equation". Here, we test its spectral fits against those provided by an assortment of models: Wisconsin model, Iowa State model, Brayshaw model, and the popular semi-relativistic treatment of Godfrey and Isgur. We find that the fit provided by the two-body Dirac model for the entire meson spectrum competes with the best fits to partial spectra provided by the others and does so with the smallest number of interaction functions without additional cutoff parameters necessary to make other approaches numerically tractable. We discuss the distinguishing features of our model that may account for the relative overall success of its fits. Note especially that in our approach for QCD, the resulting pion mass and associated Goldstone behavior depend sensitively on the preservation of relativistic couplings that are crucial for its success when solved nonperturbatively for the analogous two-body bound-states of QED. * hcrater@utsi.edu

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Section: B Comparison Of Fit With That Of Constraint Approachmentioning

confidence: 99%

Section: Approachmentioning

confidence: 99%

Relativistic calculation of the meson spectrum: A fully covariant treatment versus standard treatments

2004

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“…On the other hand, the structure of c and * c is model-dependent: they may have an axial-vector light diquark but they also may contain diquarks [Qq] made of one heavy quark (Q) and one light quark (q) [34,35]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Ratios of heavy baryons to heavy mesons in relativistic nucleus-nucleus collisions

et al. 2009

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Heavy baryon/meson ratios c /D 0 and b /B 0 in relativistic heavy ion collisions are studied in the quark coalescence model. For heavy baryons, we include production from coalescence of heavy quarks with free light quarks as well as with bounded light diquarks that might exist in the strongly coupled quark-gluon plasma produced in these collisions. Including the contribution from decays of heavy hadron resonances and also that due to fragmentation of heavy quarks that are left in the system after coalescence, the resulting c /D 0 and b /B 0 ratios in midrapidity (|y| 0.5) from central Au + Au collisions at √ s NN = 200 GeV are about a factor of five and ten, respectively, larger than those given by the thermal model, and about a factor of ten and twelve, respectively, larger than corresponding ratios in the PYTHIA model for pp collisions. These ratios are reduced by a factor of about 1.6 if there are no diquarks in the quark-gluon plasma. The transverse momentum dependence of the heavy baryon/meson ratios is found to be sensitive to the heavy quark mass, with the b /B 0 ratio being much flatter than the c /D 0 ratio. The latter peaks at the transverse momentum p T

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“…To consider the N and baryons, respectively, as pure Dn and Ds states is probably not the better approximation [21]. But our aim is just to obtain a reasonable estimation for the mass of the diquark D. A mass of 350 MeV is in good agreement with some other works [6,8,10,21]. Table II summarizes the parameters used in our calculations.…”

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confidence: 84%

Pentaquarksuudds¯with One Color Sextet Diquark

2005

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The masses of pentaquarks uudds are calculated within the framework of a semirelativistic effective QCD Hamiltonian using a diquark picture. This approximation allows a correct treatment of the confinement, assumed here to be similar to a Y junction. With only color antitriplet diquarks, the mass of the pentaquark candidate Theta with positive parity is found around 2.2 GeV. It is shown that, if a color sextet diquark is present, the lowest uudds pentaquark is characterized by a much smaller mass with a negative parity. A mass below 1.7 GeV is computed if the masses of the color antitriplet and color sextet diquarks are taken similar.

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Light and heavy hadron masses in a relativistic quark potential model with diquark clustering

Cited by 51 publications

References 28 publications

Relativistic calculation of the meson spectrum: A fully covariant treatment versus standard treatments

Relativistic calculation of the meson spectrum: A fully covariant treatment versus standard treatments

Ratios of heavy baryons to heavy mesons in relativistic nucleus-nucleus collisions

Pentaquarksuudds¯with One Color Sextet Diquark

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