Hermitian geometry and involutive algebras

Martin, Mircea

doi:10.1007/bf01159182

Cited by 13 publications

(3 citation statements)

References 7 publications

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“…An intuitively obvious picture is that the diquark and the spectator quark form a configuration for which the interaction asymptotically becomes a single string extending between diquark and quark. Such a picture does indeed hold for highly excited baryons [3,4], but evidently fails for three-quark ground states, as was shown both in non-relativistic [5] and relativistic [6] approaches. More recently, it has been argued that latticecalculation results for the baryon electromagnetic structure [7] indicate only a small reduction of the scalar-diquark distribution radius relative to the vectordiquark distribution [-8].…”

Section: Introductionmentioning

confidence: 81%

“…The spin-isospin functions must be combined with the spatial wave functions to produce the three-quark wave function (J, fully symmetric under any exchange of two quarks, the antisymmetry being taken care of by the colour degrees of freedom. Then ~ can be decomposed as follows, O = ~s~s + ~Ms~s + ~*A~MA" (4) This wave function satisfies the Schr6dinger equation …”

Section: Construction Of Three-quark Wave Functionmentioning

confidence: 99%

“…We choose the same parameters as in ref. [4]: mq = 337 MeV, a, = 0.39, a = 0.18 GeV 2. A subtractive constant C in Eq.…”

Section: Introductionmentioning

confidence: 99%

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Diquark correlations in the proton

Grach

Narodetskii

1994

Few-Body Systems

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Abstract. The co!our-magnetic interaction of quantum chromodynamics with a smearing function found from the fit to the p -~z splitting is strong enough to support a bound state of a singlet q~/pair. We examine the possibility that this interaction leads to short-range quark-quark correlations in light baryons thereby providing the dynamical mechanism for a quark-diquark picture of the proton. In particular, we show that the correlation function of a singlet diquark in the proton is strongly enhanced at the origin (compared to that for the triplet diquark) with the correlation radius r0, a typical cut-off radius in the spin interaction. The Fourier transform of the correlation function, which is related to the dependence on the momentum transfer of the structure functions in inclusive electron-proton scattering, may provide quite fundamental information on the diquark structure of the proton.

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