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

B( ${{\boldsymbol \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\boldsymbol \gamma}}{{\boldsymbol \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\boldsymbol \Upsilon}{(3S)}}$ $\rightarrow$ ${{\boldsymbol \gamma}}{{\boldsymbol \chi}_{{b1}}{(2P)}}$ ) ${\times }$ B( ${{\boldsymbol \Upsilon}{(1S)}}$ $\rightarrow$ ${{\boldsymbol \ell}^{+}}{{\boldsymbol \ell}^{-}}$ ) INSPIRE search

VALUE ($ 10^{-4} $)

EVTS

DOCUMENT ID

TECN

COMMENT

$\bf{ 2.9 \pm0.4}$

OUR AVERAGE Error includes scale factor of 1.9.

$3.52$ ${}^{+0.28}_{-0.27}$ ${}^{+0.17}_{-0.18}$

LEES

2014

BABR

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

$3.24$ $\pm0.56$ $\pm0.41$

CRAWFORD

1992

CLE2

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

$2.34$ $\pm0.28$ $\pm0.15$

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( ${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) = ($0.91$ $\pm0.11$ $\pm0.06)\%$ using B( ${{\mathit \Upsilon}{(1S)}}$ $\rightarrow$ ${{\mathit \mu}^{+}}{{\mathit \mu}^{-}}$ ) =($2.57$ $\pm0.05)\%$.

B(${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B(${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b1}}{(2P)}}$ ) ${\times }$ B(${{\mathit \Upsilon}{(1S)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ ) ($ 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