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Theoretical study of lifetimes and polarizabilities in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi mathvariant="normal">Ba</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math>
The $6s\text{\ensuremath{-}}n{p}_{j}$ $(n=6--9)$ electric-dipole matrix elements and $6s\text{\ensuremath{-}}n{d}_{j}$ $(n=5--7)$ electric-quadrupole matrix elements in ${\mathrm{Ba}}^{+}$ are calculated using the relativistic all-order method. The resulting values are used to evaluate ground-state dipole and quadrupole polarizabilities. In addition, the electric-dipole $6{p}_{j}\text{\ensuremath{-}}5{d}_{{j}^{\ensuremath{'}}}$ matrix elements and magnetic-dipole $5{d}_{5∕2}\text{\ensuremath{-}}5{d}_{3∕2}$ matrix element are calculated using the same …