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${\boldsymbol {\boldsymbol b}}$ ${\boldsymbol {\overline{\boldsymbol b}}}$ MESONS
(including possibly non- ${\boldsymbol {\boldsymbol q}}$ ${\boldsymbol {\overline{\boldsymbol q}}}$ states)

${{\boldsymbol \chi}_{{b2}}{(2P)}}$ $I^G(J^{PC})$ = $0^+(2^{+ +})$ J need confirmation.

Observed in radiative decay of the ${{\mathit \Upsilon}{(3S)}}$, therefore ${}^{C} = +$. Branching ratio requires E1 transition, M1 is strongly disfavored, therefore ${}^{P} = +$.

${{\mathit \chi}_{{b2}}{(2P)}}$ MASS

$10268.65 \pm0.22 \pm0.50$ MeV

${\mathit m}_{{{\mathit \chi}_{{b2}}{(2P)}}}–{\mathit m}_{{{\mathit \chi}_{{b1}}{(2P)}}}$

$13.10 \pm0.24$ MeV

${{\mathit \gamma}}$ ENERGY IN ${{\mathit \Upsilon}{(3S)}}$ DECAY

$86.19 \pm0.22$ MeV

B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \chi}_{{b2}}{(1P)}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \chi}_{{b2}}{(2P)}}{{\mathit X}}$ )

$(6.4 \pm0.9) \times 10^{-4}$

B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(1S)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ )

$(2.02 \pm0.18) \times 10^{-4}$

[B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ )] $/$ [B( ${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b1}}{(2P)}}$ )]

$0.666 \pm0.030$

B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(2S)}}$ $\rightarrow$ ${{\mathit \ell}^{+}}{{\mathit \ell}^{-}}$ )

$(2.74 \pm0.29) \times 10^{-4}$

[B( ${{\mathit \chi}_{{b2}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b2}}{(2P)}}$ )] $/$ [B( ${{\mathit \chi}_{{b1}}{(2P)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$ ) ${\times }$ B( ${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \chi}_{{b1}}{(2P)}}$ )]

$0.469 \pm0.020$

Decay Modes

${{\mathit \omega}}{{\mathit \Upsilon}{(1S)}}$

$(1.10^{+0.34}_{-0.30})\%$

${{\mathit \gamma}}{{\mathit \Upsilon}{(2S)}}$

$(8.9\pm{1.2})\%$

${{\mathit \gamma}}{{\mathit \Upsilon}{(1S)}}$

$(6.6\pm{0.8})\%$

${{\mathit \pi}}{{\mathit \pi}}{{\mathit \chi}_{{b2}}{(1P)}}$

$(5.1\pm{0.9})\times 10^{-3}$

${{\mathit D}^{0}}{{\mathit X}}$

${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$

$<1.1\times 10^{-4}$

2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{-}}{{\mathit K}_S^0}$

$<9\times 10^{-5}$

2 ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit K}^{-}}{{\mathit K}_S^0}$ 2 ${{\mathit \pi}^{0}}$

$<7\times 10^{-4}$

2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$

$(3.9\pm{1.6})\times 10^{-4}$

2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$

$(9\pm{4})\times 10^{-5}$

2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$

$(2.4\pm{1.1})\times 10^{-4}$

2 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$2 ${{\mathit \pi}^{0}}$

$(4.7\pm{2.3})\times 10^{-4}$

3 ${{\mathit \pi}^{+}}$2 ${{\mathit \pi}^{-}}{{\mathit K}^{-}}{{\mathit K}_S^0}$ ${{\mathit \pi}^{0}}$

$<4\times 10^{-4}$

3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}$

$(9\pm{4})\times 10^{-5}$

3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$

$(1.2\pm{0.4})\times 10^{-3}$

3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}$

$(1.4\pm{0.7})\times 10^{-4}$

3 ${{\mathit \pi}^{+}}$3 ${{\mathit \pi}^{-}}{{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$

$(4.2\pm{1.7})\times 10^{-4}$

4 ${{\mathit \pi}^{+}}$4 ${{\mathit \pi}^{-}}$

$(9\pm{5})\times 10^{-5}$

4 ${{\mathit \pi}^{+}}$4 ${{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$

$(1.3\pm{0.5})\times 10^{-3}$