https://doi.org/10.1140/epjp/s13360-024-05697-9
Regular Article
Hypercentral quark model for mass spectra, semileptonic decays and Regge trajectories of doubly heavy baryons
1
Laboratory of Nuclear, Atomic, Molecular Physics and Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
2
The Research Centre of Nuclear Science and Technology (RCNST), Institute of Geological and Mining Research, P.O. Box 4110, Yaounde, Cameroon
3
National Advanced School of Public Works, Ministry of Public Works, P.O. Box 510, Yaounde, Cameroon
4
Department of Physics, Higher Teachers’ Training College, University of Bertoua, P.O. Box 55, Bertoua, Cameroon
Received:
7
August
2024
Accepted:
28
September
2024
Published online:
28
October
2024
In this work, we discuss the mass spectra and decays of doubly heavy baryons in the framework of a non-relativistic quark model. We consider a baryon with two heavy quarks including , , , , and . We find the wave functions, eigen energies and mass spectra of the system under investigation by solving the hyperradial Schrödinger equation for three particles interacting with the hypercentral quark potential. Then numerical results are obtained for the ground state masses, radial and orbital excited states masses of the doubly heavy baryons. Due to the lack of experimental data, the numerical results provided by our calculations are compared with other relevant theoretical works. The magnetic moments of these baryons are also calculated. The calculation of the transition magnetic moments is then used to obtain the radiative decay widths for these baryons. Using a particular form of the universal Isgur-Wise function, the semileptonic decay widths and branching ratio of the doubly heavy baryons are calculated and compared with other theoretical investigations. The Regge trajectories of the systems under investigation are plotted in both and planes.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.