Abstract
We calculate the spectrum of $B_c$ mesons using a non-relativistic quark potential model. Using the calculated wave functions, we compute the radiative widths of $B_c$ excited states. The strong decay widths are calculated in a modified $^3P_0$ model, assuming harmonic oscillator wave functions. The hadronic transition rates of $B_c$ mesons are calculated using the Kuang-Yan approach. These results are used to determine branching ratios of possible decay channels of several $B_c$ excited states. Calculated branching ratios are then combined with production cross section of $B_c$ states at the LHC to suggest strategies to find missing excited states of $B_c$ mesons.
Highlights
The Bþc meson is the lowest-mass bound state of a charm quark and a bottom antiquark
Excited Bc states below BD threshold (≈7144 MeV) can only decay through radiative and hadronic transitions to Bc ground state, which decay through weak interaction
To predict event rates of various decay chains of excited Bc states lying below the BD threshold at the LHC, we require a knowledge of branching ratios of their electromagnetic and hadronic transitions along with their production cross sections
Summary
The Bþc meson is the lowest-mass bound state of a charm quark and a bottom antiquark This pseudoscalar mesonic ground state has no electromagnetic or strong decays as it cannot annihilate into gluons or photons. To predict event rates of various decay chains of excited Bc states lying below the BD threshold at the LHC, we require a knowledge of branching ratios of their electromagnetic and hadronic transitions along with their production cross sections. Hadronic, and strong widths to predict the branching ratios of all possible decay channels of several Bc excited states. The branching ratios of radiative and hadronic transitions of Bc excited states lying below the BD threshold are combined with their predicted production cross sections at the LHC energy to provide estimates of event rates of their possible.
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