${{\boldsymbol \chi}_{{b1}}{(2P)}}$ Cross-Particle Branching Ratios

B( ${{\boldsymbol \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\boldsymbol \gamma}}{{\boldsymbol \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\boldsymbol \Upsilon}{(3S)}}$ $\rightarrow$ ${{\boldsymbol \gamma}}{{\boldsymbol \chi}_{{b1}}{(2P)}}$ ) ${\times }$ B( ${{\boldsymbol \Upsilon}{(2S)}}$ $\rightarrow$ ${{\boldsymbol \ell}^{+}}{{\boldsymbol \ell}^{-}}$ ) INSPIRE search

VALUE ($ 10^{-4} $)

EVTS

DOCUMENT ID

TECN

COMMENT

$\bf{ 3.8 \pm0.6}$

OUR AVERAGE Error includes scale factor of 1.8.

$4.95$ ${}^{+0.75}_{-0.70}$ ${}^{+1.01}_{-0.24}$

LEES

2014

BABR

${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$

$5.12$ $\pm0.60$ $\pm0.63$

111

CRAWFORD

1992

CLE2

${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$

$3.30$ $\pm0.33$ $\pm0.20$

HEINTZ

1992

CSB2

${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$

¹ From a sample of ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \gamma}}{{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ with one converted photon.

² CRAWFORD 1992B quotes 2${\times }$B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{bJ}}{(2P)}}$ ) B( ${{\mathit \chi}_{{bJ}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(nS)}}$ ) B( ${{\mathit \Upsilon}{(nS)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ ).

³ Calculated by us. HEINTZ 1992 quotes B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b1}}{(2P)}}$ )${\times }$B( ${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) = ($2.29$ $\pm0.23$ $\pm0.21$) $\%$ usingB( ${{\mathit \Upsilon}{(2S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ ) = ($1.44$ $\pm0.10)\%$.

B(${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B(${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b1}}{(2P)}}$ ) ${\times }$ B(${{\mathit \Upsilon}{(2S)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ ) ($ 10^{-4} $)

References:

LEES

2014M

PR D90 112010

Bottomonium Spectroscopy and Radiative Transitions Involving the ${{\mathit \chi}_{{bJ}}{(1P,2P)}}$ States at BABAR

CRAWFORD

1992B

PL B294 139

Exclusive ${{\mathit \chi}{(2P)}}$ Production in ${{\mathit \Upsilon}{(3S)}}$ Decay

HEINTZ

1992

PR D46 1928

${\mathit {\mathit b}}{\mathit {\overline{\mathit b}}}$ Spectroscopy from the ${{\mathit \Upsilon}{(3S)}}$ State