Bottomonium Mesons and Strategies for Their Observation
By S. Godfrey, K. Moats. 2015
136 citations recorded by the source corpus.
The $B$-factories and Large Hadron Collider experiments have demonstrated the ability to observe and measure the properties of bottomonium mesons. In order to discover missing states it is useful to know their properties to develop a successful search strategy. To this end we calculate the masses and decay properties of excited bottomonium states. We use the relativized quark model to calculate the masses and wavefunctions and the $^3P_0$ quark-pair creation model to calculate decay widths to open bottom. We also summarize results for radiative transitions, annihilation decays, hadronic transitions and production cross sections which are used to develop strategies to find these states. We find that the $b\bar{b}$ system has a rich spectroscopy that we expect to be substantially extended by the LHC and $e^+e^-$ experiments in the near future. Some of the most promising possibilities at the LHC are observing the $\chi_{b(1,2)}(3P)$, $\chi_{b(1,2)}(4P)$ and $\eta_b(3S)$ states in $\gamma \mu^+\mu^-$ final states that proceed via radiative transitions through $\Upsilon(nS)$ intermediate states and $1^3D_J$ and $2^3D_J$ into $\gamma\gamma \mu^+\mu^-$ final states proceeding via $1^3P_J\to 1^3S_1$ and $2^3P_J\to 2^3S_1$ intermediate states respectively. Some of the most interesting possibilities in $e^+e^-$ collisions are studying the $1^3D_J$ states via $4\gamma$ cascades starting with the $\Upsilon (3S)$ and the $3^3P_J$ states in $\gamma\gamma\mu^+ \mu^-$ final states starting with the $\Upsilon (4S)$ and proceeding via $\Upsilon (nS)$ intermediate states. Completing the bottomonium spectrum is an important validation of lattice QCD calculations and a test of our understanding of bottomonium states in the context of the quark model.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c386bbfbc0358e69f077e35dd12b3c3058f360ee
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In Nuclear and High Energy Physics
Citations in the corpus
- Hadronic molecules (2017, background): “…transitions, it is expected that once such transitions would be observed they must be due to coupled-channel effects as the partial widths were predicted to be in the range from sub-eV to eV level in a quark model calculation that does not include meson-loop effects (Godfrey and Moats, 2015).”
- Properties of Excited Charm and Charm-Strange Mesons (2015, background): “[85] to which we refer the interested reader.”
- Nonstandard heavy mesons and baryons: Experimental evidence (2017, methodology): “The dashed (red) lines indicate the expected states and their masses based on recent calculations (41) based on the Godfrey-Isgur relativized potential model (40).”