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Charge specific baryon mass relations with deformed SUq(3) flavor symmetry

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An Erratum to this article was published on 28 January 2019

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Abstract.

The quantum group \( SU_{q}(3) = U_{q}(su(3))\) is taken as a baryon flavor symmetry. Accounting for electromagnetic contributions to baryons masses up to zeroth order, new charge specific q-deformed octet and decuplet baryon mass formulas are obtained. These new mass relations have errors of only 0.02% and 0.08%, respectively, a factor of 20 reduction compared to the standard Gell-Mann-Okubo mass formulas. A new relation between the octet and decuplet baryon masses that is accurate to 1.2% is derived. An explicit formula for the Cabibbo angle, taken to be \(\frac{\pi}{14}\), in terms of the deformation parameter q and spin parity JP of the baryons is obtained.

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Change history

  • 28 January 2019

    After publication of the paper, the author noticed that the acknowledgement section contained an error. The correction is given in this erratum.

  • 28 January 2019

    After publication of the paper, the author noticed that the acknowledgement section contained an error. The correction is given in this erratum.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Xi’an Jiaotong-Liverpool University, 111 Ren’ai Road, 215123, Jiangsu, China

    Niels G. Gresnigt

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  1. Niels G. Gresnigt
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Correspondence to Niels G. Gresnigt.

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Communicated by S. Hands

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Gresnigt, N. Charge specific baryon mass relations with deformed SUq(3) flavor symmetry. Eur. Phys. J. A 52, 321 (2016). https://doi.org/10.1140/epja/i2016-16321-9

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