POLARIZATION IN ${{\mathit B}^{0}}$ DECAY

In decays involving two vector mesons, one can distinguish among the states in which meson polarizations are both longitudinal ($\mathit L$) or both are transverse and parallel ($\parallel$) or perpendicular ($\perp$) to each other with the parameters $\Gamma _{L}/\Gamma $, $\Gamma _{}/\Gamma $, and the relative phases $\phi _{\parallel}$ and $\phi _{\perp}$. See the definitions in the note on “Polarization in ${{\mathit B}}$ Decays” review in the ${{\mathit B}^{0}}$ Particle Listings.

$\Gamma _{\mathit L}/\Gamma $ in ${{\mathit B}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}{(1S)}}{{\mathit K}^{*}{(892)}^{0}}$

INSPIRE   PDGID:
S042P1
VALUE EVTS DOCUMENT ID TECN  COMMENT
$\bf{ 0.571 \pm0.007}$ OUR AVERAGE
$0.572$ $\pm0.006$ $\pm0.014$ 1
AAIJ
2013AT
 LHCB ${{\mathit p}}{{\mathit p}}$ at 7 TeV
$0.587$ $\pm0.011$ $\pm0.013$ 2
ABAZOV
2009E
 D0 ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.96 TeV
$0.556$ $\pm0.009$ $\pm0.010$ 3
AUBERT
2007AD
 BABR ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$0.562$ $\pm0.026$ $\pm0.018$
ACOSTA
2005
CDF ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.96 TeV
$0.574$ $\pm0.012$ $\pm0.009$
ITOH
2005
BELL ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$0.59$ $\pm0.06$ $\pm0.01$ 4
AFFOLDER
2000N
 CDF ${{\mathit p}}{{\overline{\mathit p}}}$ at 1.8 TeV
$0.52$ $\pm0.07$ $\pm0.04$ 5
JESSOP
1997
CLE2 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
$0.65$ $\pm0.10$ $\pm0.04$ 65
ABE
1995Z
 CDF ${{\mathit p}}{{\overline{\mathit p}}}$ at $1.8$ TeV
$0.97$ $\pm0.16$ $\pm0.15$ 13 6
ALBRECHT
1994G
 ARG ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \Upsilon}{(4S)}}$
• • We do not use the following data for averages, fits, limits, etc. • •
$0.566$ $\pm0.012$ $\pm0.005$ 3
AUBERT
2005P
 BABR Repl. by AUBERT 2007AD
$0.62$ $\pm0.02$ $\pm0.03$ 7
ABE
2002N
 BELL Repl. by ITOH 2005
$0.597$ $\pm0.028$ $\pm0.024$ 8
AUBERT
2001H
 BABR Repl. by AUBERT 2007AD
$0.80$ $\pm0.08$ $\pm0.05$ 42 6
ALAM
1994
CLE2 Sup. by JESSOP 1997
1  AAIJ 2013AT obtains $\Gamma _{\parallel}/\Gamma $ = $0.227$ $\pm0.004$ $\pm0.011$. The relation 1 = ( $\Gamma _{L}$ + $\Gamma _{\perp}$ + $\Gamma _{\parallel})/\Gamma $ is used to obtain $\Gamma _{L}/\Gamma $.
2  Measured the angular and lifetime parameters for the time-dependent angular untagged decays ${{\mathit B}_{{{d}}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit K}^{*0}}$ and ${{\mathit B}_{{{s}}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}{{\mathit \phi}}$.
3  Obtained by combining the ${{\mathit B}^{0}}$ and ${{\mathit B}^{+}}$ modes.
4  AFFOLDER 2000N measurements are based on 190 ${{\mathit B}^{0}}$ candidates obtained from a data sample of 89$~$pb${}^{-1}$. The $\mathit P$-wave fraction is found to be $0.13$ ${}^{+0.12}_{-0.09}$ $\pm0.06$.
5  JESSOP 1997 is the average over a mixture of ${{\mathit B}^{0}}$ and ${{\mathit B}^{+}}$ decays. The ${\mathit P}{\mathrm -wave}$ fraction is found to be $0.16$ $\pm0.08$ $\pm0.04$.
6  Averaged over an admixture of ${{\mathit B}^{0}}$ and ${{\mathit B}^{+}}$ decays.
7  Averaged over an admixture of ${{\mathit B}^{0}}$ and ${{\mathit B}^{+}}$ decays and the $\mathit P~$wave fraction is ($19$ $\pm2$ $\pm3)\%$.
8  Averaged over an admixture of ${{\mathit B}^{0}}$ and ${{\mathit B}^{-}}$ decays and the $\mathit P~$wave fraction is ($16.0$ $\pm3.2$ $\pm1.4$) $ \times 10^{-2}$.
References