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Gell-Mann–Okubo mass formula

About: Gell-Mann–Okubo mass formula is a(n) research topic. Over the lifetime, 28 publication(s) have been published within this topic receiving 623 citation(s). more


Journal ArticleDOI: 10.1016/0003-4916(81)90086-5
J. Gasser1Institutions (1)
01 Oct 1981-Annals of Physics
Abstract: We analyze carefully the impact of non-analytic chiral corrections to the mass spectrum of the pseudoscalar meson octet JP = 0− and the baryon octet J P = 1 2 + . We find that the quark mass ratios must lie in the range 21 ≤ m s m ≤ 32 and 1.6 ≤ m d m u ≤ 2.2 . We also calculate the analogous corrections to the pion-nucleon sigma commutator σπN. It turns out that the value σπN = 60 MeV is not compatible with the structure of the meson and baryon spectrum, unless the nucleon mass is smaller than 600 MeV in the chiral limit mu = md = ms = 0. more

Topics: Pseudoscalar meson (59%), Chiral perturbation theory (56%), Baryon (55%) more

165 Citations

Journal ArticleDOI: 10.1016/0550-3213(92)90203-N
Elizabeth Jenkins1Institutions (1)
06 Jan 1992-Nuclear Physics
Abstract: Chiral corrections to baryon mass relations are computed using a chiral lagrangian which includes the spin - 3 2 baryon decuplet. The observed accuracies of the Gell-Mann-Okubo formula for baryon octet masses and of Gell-Mann's equal spacing rule for decuplet masses are consistent with chira; perturbation theory up to order m s 2 . more

126 Citations

Journal ArticleDOI: 10.1007/BF02740660
Stephan Narison1Institutions (1)
Topics: Chiral symmetry breaking (73%), Gell-Mann–Okubo mass formula (54%), Meson (52%) more

91 Citations

Journal ArticleDOI: 10.1016/0375-9474(81)90496-6
Fred Myhrer, G.E. Brown, z. Xu1Institutions (1)
08 Jun 1981-Nuclear Physics
Abstract: The baryon octet and decuplet mass spectrum is calculated within the chiral bag model. To zeroth order, this reduces to the MIT bag model. To the next order, baryon self-energies coming from coupling to pions enter. These are about as important as terms from gluon exchange; their inclusion decreases somewhat the colour coupling constant α s needed to fit the empirical baryon splittings. We show that mass splittings resulting from our calculation obey well the Gell-Mann-Okubo mass formulae, although certain terms included would individually violate them. Also the absolute value of the Λ magnetic moment comes out very well. In our theory, part of the mass splitting is a manifestation of the spontaneous breaking of chiral symmetry in the region outside the bag, resulting from the Goldstone pion which is introduced to conserve the axial current at the bag boundary. With inclusion of pionic interactions, the phenomenological zero-point energy introduced through the constant Z 0 in the MIT work is much smaller in order to fit the empirical masses, the pionic self-energies replacing most of it. more

Topics: Baryon (57%), Gell-Mann–Okubo mass formula (55%), Spontaneous symmetry breaking (54%) more

58 Citations

Open accessJournal ArticleDOI: 10.1103/PHYSREVD.54.5804
Manoj K. Banerjee1, J. Milana1Institutions (1)
01 Nov 1996-Physical Review D
Abstract: This paper deals with two issues. First, we explore the quantitative importance of higher multiplets for properties of the $\ensuremath{\Delta}$ decuplet in chiral perturbation theory. In particular, it is found that the lowest order one-loop contributions from the Roper octet and the $\ensuremath{\Delta}(1600)$ to the decuplet masses and magnetic moments are substantial. The relevance of these results to the chiral expansion in general is discussed. The exact values of the magnetic moments depend upon delicate cancellations involving ill-determined coupling constants. Second, we present new relations between the magnetic moments of the $\ensuremath{\Delta}$ decuplet that are independent of all couplings. They are exact at the order of the chiral expansion used in this paper. more

29 Citations

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