Bound states and asymptotic limits for quantum chromodynamics in two dimensions

1979 ◽  
Vol 19 (10) ◽  
pp. 3024-3049 ◽  
Author(s):  
R. C. Brower ◽  
W. L. Spence ◽  
J. H. Weis
Keyword(s):  
Quantum Chromodynamics ◽  
Bound States ◽  
Two Dimensions

Bound states of four identical bosons in two dimensions

1980 ◽  
Vol 21 (4) ◽  
pp. 1334-1341 ◽  
Author(s):  
J. A. Tjon
Keyword(s):  
Bound States ◽  
Two Dimensions

scholarly journals Compact Exotic Tetraquark Mesons in Large-Nc QCD

2018 ◽  
Vol 191 ◽  
pp. 04003
Author(s):  
Wolfgang Lucha ◽  
Dmitri Melikhov ◽  
Hagop Sazdjian
Keyword(s):  
Scattering Amplitudes ◽  
Quantum Chromodynamics ◽  
Internal Consistency ◽  
Selection Criteria ◽  
Bound States ◽  
Degrees Of Freedom ◽  
Decay Rates ◽  
Meson Decay ◽  
Decay Channels ◽  
Colour Singlet

We embark on systematic explorations of the behaviour of tetraquark mesons, i.e., colour-singlet bound states of two quarks and two antiquarks, in the (idealized) limit of a large number of colour degrees of freedom, Nc,; of quantum chromodynamics, QCD. Considering the scattering of two ordinary mesons into two ordinary mesons, we start off with formulating a set of selection criteria that should enable us to unambiguously single out precisely those contributions to all encountered scattering amplitudes that potentially will develop tetraquark poles. Assuming that tetraquark mesons do exist and, if so, emerge in the contributions compatible with our criteria at largest admissible order of Nc; we deduce, for the categories of tetraquarks that exhibit either four or only two different open quark flavours, that the decay rates of these tetraquark types are, at least, of order 1/N2c and that internal consistency requires all the members of the first species to exist pairwise, distinguishable by their favoured two-ordinary-meson decay channels.

Accurate calculation of the bound states of the quantum dipole problem in two dimensions

Open Physics ◽  
2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Paolo Amore
Keyword(s):  
Asymptotic Behavior ◽  
Upper Bound ◽  
Ground State ◽  
Bound States ◽  
Two Dimensions ◽  
Accurate Calculation ◽  
Perfect Agreement

AbstractWe present an accurate calculation of the energies of the bound states of the quantumdipole problemin two dimensions using a Rayleigh-Ritz approach. We obtain an upper bound for the energy of the ground state, which is by far the most precise in the literature for this problem. We also obtain an alternative estimate of the fundamental energy of the model performing an extrapolation of the results corresponding to different subspaces. Finally, our calculation of the energies of the first 500 states shows a perfect agreement with the expected asymptotic behavior.

scholarly journals Bound states of edge dislocations: The quantum dipole problem in two dimensions

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
K. Dasbiswas ◽  
D. Goswami ◽  
C.-D. Yoo ◽  
Alan T. Dorsey
Keyword(s):  
Bound States ◽  
Two Dimensions ◽  
Edge Dislocations

Scalar quantum chromodynamics in two dimensions and the parton model

1978 ◽  
Vol 141 (4) ◽  
pp. 445-466 ◽  
Author(s):  
Sun-Sheng Shei ◽  
Hung-Sheng Tsao
Keyword(s):  
Quantum Chromodynamics ◽  
Parton Model ◽  
Two Dimensions ◽  
Scalar Quantum
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