# Proposal of searching for the $\Upsilon \left(6S\right)$ hadronic decays into $\Upsilon \left(nS\right)$ plus ${\eta }^{\left(\prime \right)}$

Huang, Qi (School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China) (Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China) ; Liu, Xiang (School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China) (Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China) ; Matsuki, Takayuki (Tokyo Kasei University, 1-18-1 Kaga, Itabashi, Tokyo 173-8602, Japan) (Theoretical Research Division, Nishina Center, RIKEN, Wako, Saitama 351-0198, Japan)

10 September 2018

Abstract: In this work, we propose a possible experimental research topic on the $\Upsilon \left(6S\right)\to \Upsilon \left(nS\right){\eta }^{\left(\prime \right)}$ ($n=1$, 2, 3) transitions. Considering the hadronic loop effect from the intermediate $S$-wave ${B}_{\left(s\right)}$ and ${B}_{\left(s\right)}^{*}$ mesons, we estimate the partial decay widths and the corresponding branching ratios of the $\Upsilon \left(6S\right)\to \Upsilon \left(nS\right){\eta }^{\left(\prime \right)}$ hadronic decays, which become considerably large. With the running of the Belle II experiment, it becomes possible to explore these $\Upsilon \left(6S\right)\to \Upsilon \left(nS\right){\eta }^{\left(\prime \right)}$ transitions.

Published in: Physical Review D 98 (2018)