Alternating Current Series #2

A tuned circuit consisting of an inductor and a parallel plate capacitor of capacitance $C$ with plate separation $d$ has a resonating frequency $v_{0}$ .
What will be the resonating frequency ( $v$ ), if a particle $P$ of mass $m$ and charge $q$ is inserted in the middle of the capacitor plates?

Note: Neglect effects of gravity, fringing of electric field and electrostatic images.
$v=\sqrt{\frac{v_{0}^{\alpha}}{\beta}+\sqrt{(\frac{v_{0}^{\gamma}}{ \lambda})+\frac{q^{2}v_{0}^{2}}{\delta π^{\phi}d^{2}mC}}}$

Type your answer as $\alpha+\beta+\gamma+\delta+\phi+\lambda=?$