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Evaluation of Spectra of Baryons Containing Two Heavy Quarks in Bag Model

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arxiv hep-ph/0403301 v2 pith:CIMNJGAR submitted 2004-03-31 hep-ph

classification hep-ph
keywords heavyquarksmixingmodelspectrabaryonsdiquarkquantum
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In this work, we evaluate the energy spectra of baryons which consist of two heavy and one light quarks in the MIT bag model. The two heavy quarks constitute a heavy scalar or axial vector diquark. Concretely, we calculate the spectra of $|q(QQ')>_{1/2}$ and $|q(QQ')>_{3/2}$ where $Q$ and $Q'$ stand for $b$ and/or $c$ quarks. Especially, for $|q(bc)>_{1/2}$ there can be a mixing between $|q(bc)_0>_{1/2}$ and $|q(bc)_1>_{1/2}$ where the subscripts 0 and 1 refer to the spin state of the diquark (bc), the mixing is not calculable in the framework of quantum mechanics (QM) as the potential model is employed, but can be evaluated by the quantum field theory (QFT). Our numerical results indicate that the mixing is sizeable

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Light cone QCD sum rules study of the rare radiative $\Xi^{*}_{bb}\to\Xi_b\gamma$ decay

    hep-ph 2026-01 unverdicted novelty 5.0 of 10

    Light cone QCD sum rules produce the form factors T1V(q²=0), T2V(q²=0), T1A(q²=0), T2A(q²=0) for Ξ*bb → Ξb γ, from which the decay width is calculated.

  2. Searching for compact pentaquark state within the bag model framework

    hep-ph 2025-01 conditional novelty 5.0 of 10

    A bag-model analysis identifies a compact radius limit of 5.615 GeV^-1 and predicts that nnccbar c pentaquarks fall below it, making them candidates for tightly bound compact states.

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