<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi></mml:math>-wave bottom baryons of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> flavor <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mn>6</mml:mn><mml:mi>F</mml:mi></mml:msub></mml:math>
H. L. Yang, Hua-Xing Chen
Abstract
We investigate $P$-wave bottom baryons of the $SU(3)$ flavor ${\mathbf{6}}_{F}$, and systematically study their $D$-wave decays into ground-state bottom baryons and pseudoscalar mesons. Together with [H. X. Chen et al., Phys. Rev. D 91, 054034 (2015); Q. Mao et al., Phys. Rev. D 92, 114007 (2015); H. X. Chen et al., Phys. Rev. D 95, 094008 (2017); H. M. Yang et al.,Eur. Phys. J. C 80, 80 (2020)], a rather complete study is performed on both mass spectra and decay properties of $P$-wave bottom baryons, using the method of QCD sum rules and light-cone sum rules within the framework of heavy quark effective theory. Among all the possibilities, we find four ${\mathrm{\ensuremath{\Sigma}}}_{b}$, four ${\mathrm{\ensuremath{\Xi}}}_{b}^{\ensuremath{'}}$, and six ${\mathrm{\ensuremath{\Omega}}}_{b}$ baryons, with limited widths and so capable of being observed. Their masses, mass splittings within the same multiplets, and decay properties are extracted (summarized in Table VI) for future experimental searches.