Electromagnetic mass splittings of mesons and baryons in the quark model

Gal, A.; Scheck, Florian

doi:10.1016/0550-3213(67)90122-8

Cited by 38 publications

(29 citation statements)

References 11 publications

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“…These sum rules hold for any set of purely one-and two-body interactions as shown in [16,17,18,21]. The sum rules can be violated by three-body operators.…”

Section: B Baryon Mass Splittings and Sum Rulesmentioning

confidence: 99%

“…Note that the sum rules for baryon masses continue to hold [16,17,18]. The one-loop mesonic corrections to the effective point interactions do not introduce new isospin breaking terms, are expected to be small, and will not be considered.…”

Section: A Color-magnetic Contributionsmentioning

confidence: 99%

“…As shown below, terms of this form arise in QCD-based dynamical models from a colormagnetic interaction [13], and can give IB contributions to the intramultiplet mass splittings comparable to those from electromagnetic interactions [14,15] [32]. Since the extra effective interactions are two-body, the usual quark-model sum rules [16,17,18] for baryon masses continue to hold for matrix elements. Once again, only four parameters a, b, c, and d are needed to describe the intramultiplet mass splittings through first order in (m d − m u ), corresponding to an effective interaction of the form in Eq.…”

Section: Introductionmentioning

confidence: 99%

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Estimates of isospin breaking contributions to baryon masses

2007

Phys. Rev. D

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We estimate the isospin breaking contributions to the baryon masses which we analyzed recently using a loop expansion in the heavy baryon approximation to chiral effective field theory. To one loop, the isospin breaking corrections come from the effects of the d, u quark mass difference, the Coulomb and magnetic moment interactions, and effective point interactions attributable to colormagnetic effects. The addition of the first meson loop corrections introduces new structure. We estimate the resulting low-energy, long-range contributions to the mass splittings by regularizing the loop integrals using connections to dynamical models for finite-size baryons. We find that the resulting contributions to the isospin breaking corrections are of the right general size, have the correct sign pattern, and agree with the experimental values within the margin of error.

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“…These sum rules hold for any set of purely one-and two-body interactions as shown in [16,17,18,21]. The sum rules can be violated by three-body operators.…”

Section: B Baryon Mass Splittings and Sum Rulesmentioning

confidence: 99%

Section: A Color-magnetic Contributionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Estimates of isospin breaking contributions to baryon masses

2007

Phys. Rev. D

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“…It also holds -with larger errors-for some formulas of Gal and Scheck [6]. We already discussed [2] all these relations using the QCD general parametrization method, but the result [1] suggests a revisitation.…”

Section: Introductionmentioning

confidence: 99%

“…Using the NRQM Gal and Scheck [6] derived long ago a set of relations among the electromagnetic masses for mesons and baryons. For mesons their assumptions were very restrictive, but for baryons they amounted mostly to the neglect of three body terms.…”

Section: Other Em Mass Formulasmentioning

confidence: 99%

On the miracle of the Coleman–Glashow and other baryon mass formulas

Dillon

Morpurgo

2000

Physics Letters B

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Abstract. Due to a new measurement of the Ξ 0 mass, the Coleman-Glashow formula for the baryon octet e.m. masses (derived using unbroken flavor SU 3 ) is satisfied to an extraordinary level of precision. The same unexpected precision exists for the Gell Mann-Okubo formula and for its octet-decuplet extension (G. Morpurgo, Phys. Rev. Lett. 68 (1992) 139). We show that the old question "why do they work so well?" is now answered by the general parametrization method.

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Electromagnetic Mass Differences of Strange, Charm, b‐Quark and t‐Quark Mesons

Kim

Sinha

1985

Annalen der Physik

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A b s t r a c t . We estimate the electro-magnetic mass differences of strange, charm 6and t-quark meson isodoublets in a parametrized potential model including the gluonic hyperfine splitting term explicitly. The numerical results of the mass differences for strange, charm and b-quark mesons agree well with the available experimental values. We predict the electromagnetic mass differences of t-quark mesons: Elektromagnetisehe Massendifferenzen von Strange, Charm, bund t-Quark-MesonenI n h a l tsii bersicht. Die elektromagnetischen Massendifferenzen von Strange, Charm, bund t-Quark Mesonen sind mit Hilfe eines parametrierten Potentialmodelles errechnet worden. Die Effekte von Hyperfeinverschiebungen gluonischen Ursprungs wurden in der Arbeit mit in Betracht gezogen. Die von uns errechneten numerischen Werte von Massendifferenzen von Strange, Charm und b-Quark Mesonen stimmen recht gut mit anderen theoretischen Werten und auch mit den experimentellen Werten uberein. Fur die von uns vorausgesagten Werte von Massendifferenzen von t-Quark Mesonen

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Electromagnetic mass splittings of mesons and baryons in the quark model

Cited by 38 publications

References 11 publications

Estimates of isospin breaking contributions to baryon masses

Estimates of isospin breaking contributions to baryon masses

On the miracle of the Coleman–Glashow and other baryon mass formulas

Electromagnetic Mass Differences of Strange, Charm, b‐Quark and t‐Quark Mesons

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