2014
DOI: 10.1134/s0021364014020088
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Magnetic moments of negative parity baryons from the effective Hamiltonian approach to QCD

Abstract: Magnetic moments of S11(1535) and S11(1650) baryons are studied in the framework of the relativistic three-quark Hamiltonian derived in the Field Correlation Method. The baryon magnetic moments are expressed via the average kinetic quark energies which are defined by the fundamental QCD parameters: the string tension σ, the current quark masses, and the strong coupling constant αs. Resulting magnetic moments for the J P = 1/2 − nucleons are compared both to model calculations and to those from lattice QCD.

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Cited by 10 publications
(14 citation statements)
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“…The very first effort in measuring the magnetic moment of the Δ þ ð1232Þ in the reaction γp → pπ 0 γ has been realized at MAMI, and a future program to get information about the magnetic moment of the N Ã ð1535Þ baryon in the reaction γp → pηγ has already been planned. The magnetic moments of the spin-1=2 negative parity baryons have been calculated within the nonrelativistic quark model [6], simple quark model [7], lattice QCD [8], chiral perturbation theory [9], light cone QCD sum rules (LCSR) [10], and effective Hamiltonian model [11].…”
Section: Introductionmentioning
confidence: 99%
“…The very first effort in measuring the magnetic moment of the Δ þ ð1232Þ in the reaction γp → pπ 0 γ has been realized at MAMI, and a future program to get information about the magnetic moment of the N Ã ð1535Þ baryon in the reaction γp → pηγ has already been planned. The magnetic moments of the spin-1=2 negative parity baryons have been calculated within the nonrelativistic quark model [6], simple quark model [7], lattice QCD [8], chiral perturbation theory [9], light cone QCD sum rules (LCSR) [10], and effective Hamiltonian model [11].…”
Section: Introductionmentioning
confidence: 99%
“…PEVA-based lattice QCD calculations of excited state magnetic moments (horizontal bands) are compared with quark-model expectations[9][10][11][12] and lattice QCD results obtained from a conventional correlation matrix analysis where finite-momentum opposite-parity contaminations are not removed. The finite-volume proton and neutron excitations associated with the N * (1535) resonance are denoted p * 1 and n * 1 , and excitations associated with the N * (1650) resonance are denoted p * 2 and n * 2 respectively.…”
mentioning
confidence: 99%
“…To further determine the spin-parity quantum numbers and inner structure of Ωð2012Þ, besides its mass one should study its other properties, such as magnetic moments, radiative and strong decays properties, as well. In the early literature, limited discussions exist on the magnetic moments [22], radiative decays [23] of the Ω resonances. In present work we will attempt to understand the inner structure of this newly observed state Ωð2012Þ by analyzing the strong decay properties of its possible candidates within a chiral quark model, so that our theoretical widths can be compared with the measured width directly.…”
Section: Introductionmentioning
confidence: 99%