An orthorhombic chromium-center in the spinel MgAl2O4

In Cr-doped MgAl₂O₄ most of the Cr³⁺-ions occupy normal B-sites. In addition to this axial center we report here the presence of an orthorhombic Cr³⁺-center. The ESR-spectra of this new center can be described by the spin Hamiltonian:

$?=\mathit{D}\left[S_z^2?\frac{1}{3}\mathit{S}\left(S+1\right)\right]+g_x\beta H_x{S}_x+g_y\beta H_y{S}_y+g_z\beta H_z{S}_z+\mathit{E}\left(S_x^2?S_y^2\right)$

, with S=3/2. The principal axes of the center are along [111]=Z, $\left[111\right]=Z,\left[1\overline{1}0\right]=Y$ and $\left[\overline{1}\overline{1}2\right]=X$. The values of the parameters are: g_z=1·950±0·005, g_x=g_y=1·915±0·015, D=+0·903cm^?1±0·003 cm^?1 and E=+0·084 cm^?1±0·005 cm^?1. The intensity of the lines is about ten times lower than that of the axial Cr³⁺-center.     

Search for lepton flavor violation in supersymmetric models via meson decays

Considering the constraints from the experimental data on μ→eγ$\mu \to e\gamma$, μ→3e$\mu \to 3e$, μ–e$\mu \text{–}e$ conversion, etc., we analyze the lepton flavor violating decays ?(J/Ψ,?(1S))→e⁺μ⁻(μ⁺τ⁻)$?(J/\Psi ,?(1S))\to e^{+}{\mu }^{-}({\mu }^{+}{\tau }^{-})$ in the scenarios of the minimal supersymmetric extensions of Standard Model with seesaw mechanism. Numerically, there is parameter space that the LFV processes of J/Ψ(?)→μ⁺τ⁻$J/\Psi (?)\to {\mu }^{+}{\tau }^{-}$ can reach the upper experimental bounds, meanwhile the theoretical predictions on μ→eγ$\mu \to e\gamma$, μ→3e$\mu \to 3e$, μ–e$\mu \text{–}e$ conversion satisfy the present experimental bounds. For searching of new physics, lepton flavor violating processes J/Ψ(?)→μ⁺τ⁻$J/\Psi (?)\to {\mu }^{+}{\tau }^{-}$ may be more promising and effective channels.