The role of spin-flipping terms in hadronic transitions of $\Upsilon(4S)$

TL;DR

This paper investigates hadronic transitions of the $ ext{Upsilon}(4S)$ involving spin-flipping terms, revealing their significant role and explaining experimental anomalies using the QCD Multipole Expansion and a constituent quark model.

Contribution

It demonstrates the importance of M1-M1 contributions and hybrid states in hadronic transitions, challenging previous assumptions of suppression and providing a unified explanation for observed decay rates.

Findings

M1-M1 contribution is significant in $ ext{Upsilon}(4S) o ext{Upsilon}(1S)\u03b7$ decay.

Hybrid states with $L=0$ explain the enhancement in decay rates.

Large decay rates of $ ext{Upsilon}(4S) o h_b(1P)ta$ are physically explained.

Abstract

Recent experimental data on the $\Upsilon(4S)\to\Upsilon(1S)\eta$ and $\Upsilon(4S)\to h_{b}(1P)\eta$ processes seem to contradict the naive expectation that hadronic transitions with spin-flipping terms should be suppressed with respect those without spin-flip. We analyze these transitions using the QCD Multipole Expansion (QCDME) approach and within a constituent quark model framework that has been applied successfully to the heavy-quark sectors during the last years. The QCDME formalism requires the computation of hybrid intermediate states which has been performed in a natural, parameter-free extension of our constituent quark model based on the Quark Confining String (QCS) scheme. We show that i) the M1-M1 contribution in the decay rate of the $\Upsilon(4S)\to\Upsilon(1S)\eta$ is important and its supression until now is not justified; ii) the role played by the $L=0$ hybrid states, which enter in the calculation of the M1-M1 contribution, explains the enhancement in the $\Upsilon(4S)\to\Upsilon(1S)\eta$ decay rate; and iii) the anomalously large decay rate of the $\Upsilon(4S)\to h_{b}(1P)\eta$ process has the same physical origin.