The relation between QCD and constituent quark models

Morpurgo, G.

doi:10.1007/bf02893622

Cited by 9 publications

(21 citation statements)

References 24 publications

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“…Morpurgo [20,21] has argued from QCD that the coefficients of the various operators above satisfy a hierarchy of sizes, with two-body operators suppressed relative to one-body operators by the necessity of extra gluon exchanges, and three-body operators further suppressed, with extra suppressions at each stage from each symmetry breaking factor M s . The results are consistent with the observed accuracy of various sum rules for the masses, including the very accurate Coleman-Glashow relation [2].…”

Section: Background a Parametrization Of Electromagnetic Correctmentioning

confidence: 99%

“…The analysis was greatly simplified by using a three-flavor-index labeling of the effective baryon fields B γ ijk (x) and T µγ ijk , where i, j, k ∈ u, d, s are flavor indices and γ is a Dirac spinor index. The transformation properties of these fields are the same as those of the spin-1/2 and spin-3/2 operators 20) constructed from three anticommuting "quark" fields q αa i , where a ∈ 1, 2, 3 a color index. Color will not play a role here, so we will suppress the color sums and treat the q's as commuting rather than anticommuting fields.…”

Section: B Heavy-baryon Effective Field Theorymentioning

confidence: 99%

“…The q's that appear in this description are not, of course, the dynamical quarks of QCD but should be thought of as structure quarks. With this interpretation, there is an additional simple connection between the effective field theory and semirelativistic dynamical quark models for the baryons which is also useful in estimating matrix elements [14,15,17,20].…”

Section: )mentioning

confidence: 99%

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Electromagnetic corrections to baryon masses

Durand

2005

Phys. Rev. D

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We analyze the electromagnetic contributions to the octet and decuplet baryon masses using the heavy baryon approximation in chiral effective field theory and methods we developed in earlier analyses of the baryon masses and magnetic moments. Our methods connect simply to Morpurgo's general parametrization of the electromagnetic contributions and to semirelativistic quark models. Our calculations are carried out including the one-loop mesonic corrections to the basic electromagnetic interactions, so to two loops overall. We find that to this order in the chiral loop expansion there are no three-body contributions. The Coleman-Glashow relation and other sum rules derived in quark models with only two-body terms therefore continue to hold, and violations involve at least three-loop processes and can be expected to be quite small. We present the complete formal results and some estimates of the matrix elements here. Numerical calculations will be presented separately.

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Section: Background a Parametrization Of Electromagnetic Correctmentioning

confidence: 99%

Section: B Heavy-baryon Effective Field Theorymentioning

confidence: 99%

Section: )mentioning

confidence: 99%

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Electromagnetic corrections to baryon masses

Durand

2005

Phys. Rev. D

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“…symmetry breaking is to introduce additional operators and parameters, which guarantees that flavor symmetry breaking is incorporated to all orders [33]. There are then so many undetermined constants that the theory can no longer make predictions.…”

Section: B Su(3) Flavor Symmetry Breakingmentioning

confidence: 99%

Ernest Henley and the shape of baryons

Buchmann

2018

Int. J. Mod. Phys. E

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“…We emphasize that this treatment is not exact. The GP method of including SU(3) symmetry breaking is to introduce additional operators and parameters, which guarantees that flavor symmetry breaking is incorporated to all orders [14]. There are then so many undetermined constants that the theory can no longer make predictions.…”

Section: B Su(3) Flavor Symmetry Breakingmentioning

confidence: 99%