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

TL;DR

This paper proposes exploring the decay transitions of the $S$ bottomonium state into lower $S$ states plus $$ or $$ mesons, estimating their decay widths and branching ratios considering hadronic loop effects, and highlighting experimental feasibility with Belle II.

Contribution

It introduces a new experimental research direction for $S$ decays into $S$ plus $$ or $$ mesons, with theoretical estimates of decay widths considering hadronic loops.

Findings

Estimated partial decay widths and branching ratios are significantly large.

Hadronic loop effects from intermediate $B_{(s)}$ and $B_{(s)}^*$ mesons are crucial.

Potential for experimental observation at Belle II.

Abstract

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