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Magnetic moments of JP = \( {\frac{{3}}{{2}}}\) + decuplet baryons using the statistical model

  • Regular Article - Theoretical Physics
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Abstract.

A suitable wave function for the baryon decuplet is framed with the inclusion of the sea containing quark-gluon Fock states. Relevant operator formalism is applied to calculate the magnetic moments of J P = \( {\frac{{3}}{{2}}}\) + baryon decuplet. The statistical model assumes the decomposition of the baryonic state in various quark-gluon Fock states and is used in combination with the detailed balance principle to find the relative probabilities of these Fock states in flavor, spin and color space. The upper limit to the gluon is restricted to three with the possibility of emission of quark-antiquark pairs. We study the importance of strangeness in the sea (scalar, vector and tensor) and its contribution to the magnetic moments. Our approach has confirmed the scalar-tensor sea dominancy over the vector sea. Various modifications in the model are used to check the validity of the statistical approach. The results are matched with the available theoretical data. A good consistency with the experimental data has been achieved for \( \Delta^{{++}}_{}\) , \( \Delta^{{+}}_{}\) and \( \Omega^{{-}}_{}\) .

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Authors and Affiliations

  1. School of Physics and Materials Science, Thapar University, 147004, Patiala, India

    Amanpreet Kaur & Alka Upadhyay

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  1. Amanpreet Kaur
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  2. Alka Upadhyay
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Correspondence to Amanpreet Kaur.

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Communicated by Shi-Lin Zhu

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Kaur, A., Upadhyay, A. Magnetic moments of JP = \( {\frac{{3}}{{2}}}\) + decuplet baryons using the statistical model. Eur. Phys. J. A 52, 105 (2016). https://doi.org/10.1140/epja/i2016-16105-3

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