Abstract
The aim of this paper is to derive systems of equations for the amplitudes for the case of negative parity (70,1-) bottom nonstrange baryons and to calculate the masses of these particles. In order to calculate masses of (70,1-) bottom baryons we use the relativistic quark model. The relativistic three-quark equations of the (70,1-) bottom baryon multiplet are derived in the framework of the dispersion relation technique. The relativistic three-quark equations of the (70,1-) bottom baryon multiplet are derived. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitude are obtained. The masses of 21 baryons are predicted.
Highlights
Hadron spectroscopy has always played an important role in the revealing mechanisms underlying the dynamic of strong interactions
Typical for baryon spectroscopy, QCD does not admit a perturbative expansion in the strong coupling constant
The linear integral equations in a single variable are obtained for the isobar amplitudes
Summary
Hadron spectroscopy has always played an important role in the revealing mechanisms underlying the dynamic of strong interactions. In our paper [8] relativistic generalization of the three-body Faddeev equations was obtained in the form of dispersion relations in the pair energy of two interacting particles. The mass spectrum of S-wave baryons including u, d, s-quarks was calculated by a method based on isolating the leading singularities in the amplitude. In our paper [9] the construction of the orbital-flavor-spin wave functions for the (70,1-) multiplet are given. The integral equations using the orbital-flavor-spin wave functions was constructed. It allows to calculate the mass spectra for all baryons of (70,1-) multiplet. In the paper [10] the relativistic three-quark equations of the excited (70,1-) charmed baryons are found in the framework of the dispersion relation technique. By analogy with b -hyperon we obtain the system equations for the reduced amplitudes for all particles (70,1-) multiplets
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