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- W2108372216 abstract "We consider the spectrum-generating algebra Sp(12,$R$) of the harmonic-oscillator quark model and show how it may be used to label the oscillator eigenstates. We give a new and direct method of constructing wave functions of definite symmetry type. We show that Sp(12,$R$) provides the most appropriate means of classifying the symmetry breaking produced by an anharmonic perturbation and we derive an algebraic mass formula for the $N=2$ multiplets of the model, and indicate how the method may be generalized to arbitrary $N$. Finally we extend the present successful phenomenological analysis of the baryon spectrum performed by Isgur and Karl, and discuss the possibility that the $ensuremath{Delta}mathrm{D}35(1925)$ resonance is evidence for a [56,${1}^{ensuremath{-}}$] multiplet corresponding to excitation of new gluonic degrees of freedom within baryons." @default.
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- W2108372216 date "1981-07-01" @default.
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- W2108372216 title "Role of Sp(12,R) in the harmonic-oscillator quark model" @default.
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- W2108372216 doi "https://doi.org/10.1103/physrevd.24.197" @default.
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