Topic
Gell-Mann–Okubo mass formula
About: Gell-Mann–Okubo mass formula is a research topic. Over the lifetime, 28 publications have been published within this topic receiving 623 citations.
Papers
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TL;DR: In this paper, the authors analyzed the impact of non-analytic chiral corrections to the mass spectrum of the pseudoscalar meson octet JP = 0− and the baryon octets J P = 1 2 +.
167 citations
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TL;DR: Chiral corrections to baryon mass relations are computed using a chiral lagrangian which includes the spin-3 2 baryons decuplet as mentioned in this paper, which is consistent with chira; perturbation theory up to order m s 2.
129 citations
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TL;DR: In this article, the baryon octet and decuplet mass spectrum is calculated within the chiral bag model, and it is shown that mass splittings obey well the Gell-Mann-Okubo mass formulae.
58 citations
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TL;DR: It is found that the lowest order one-loop contributions from the Roper octet and the {Delta}(1600) to the decuplet masses and magnetic moments are substantial and relevant to the chiral expansion in general.
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.
29 citations