The charmless three-body decay modes $B^{pm} rightarrow K^{pm} pi^{+} pi^{-}$, $B^{pm} rightarrow K^{pm} K^{+} K^{-}$, $B^{pm} rightarrow pi^{pm} K^{+} K^{-}$ and $B^{pm} rightarrow pi^{pm} pi^{+} pi^{-}$ are reconstructed using data, corresponding t
o an integrated luminosity of 3.0;$mbox{,fb}^{-1}$, collected by the LHCb detector. The inclusive $C!P$ asymmetries of these modes are measured to be $$ A_{C!P}(B^{pm} rightarrow K^{pm} pi^{+} pi^{-})= +0.025 pm 0.004 pm 0.004 pm 0.007 A_{C!P}(B^{pm} rightarrow K^{pm} K^{+} K^{-}) = -0.036 pm 0.004 pm 0.002 pm 0.007 A_{C!P}(B^{pm} rightarrow pi^{pm} pi^{+} pi^{-})= +0.058 pm 0.008 pm 0.009 pm 0.007 A_{C!P}(B^{pm} rightarrow pi^{pm} K^{+} K^{-})= -0.123 pm 0.017 pm 0.012 pm 0.007 $$ %% where the first uncertainty is statistical, the second systematic, and the third is due to the $C!P$ asymmetry of the $B^{pm} rightarrow J/psi K^{pm}$ reference mode. The distributions of these asymmetries are also studied as functions of position in the Dalitz plot and suggest contributions from rescattering and resonance interference processes.
The addition of transition metals (TM) to III-V semiconductors radically changes their electronic, magnetic and structural properties. In contrast to the conventional semiconductor alloys, the lattice parameter in magnetic semiconductor alloys, inclu
ding the ones with diluted concentration (the diluted magnetic semiconductors - DMS), cannot be determined uniquely from the composition. By using first-principles calculations, we find a direct correlation between the magnetic moment and the anion-TM bond lengths. We derive a simple formula that determines the lattice parameter of a particular magnetic semiconductor by considering both the composition and magnetic moment. The formula makes accurate predictions of the lattice parameter behavior of AlMnN, AlCrN, GaMnN, GaCrN, GaCrAs and GaMnAs alloys. This new dependence can explain some of the hitherto puzzling experimentally observed anomalies, as well as, stimulate other kind of theoretical and experimental investigations.
