We present a calculation of hadron magnetic polarizability using the techniques of lattice QCD. This is carried out by introducing a uniform external magnetic field on the lattice and measuring the quadratic part of a hadron’s mass shift. The calculation is performed on a ${24}^4$ lattice with standard Wilson actions at $\mathrm{beta}=6.0$ (spacing $a=0.1\mathrm{fm}$) and pion mass down to about 500 MeV. Results are obtained for 30 particles covering the entire baryon octet ($n$, $p$, ${\Sigma }^0$, ${\Sigma }^{-}$, ${\Sigma }^{+}$, ${\Xi }^{-}$, ${\Xi }^0$, $\Lambda$) and decuplet (${\Delta }^0$, ${\Delta }^{-}$, ${\Delta }^{+}$, ${\Delta }^{++}$, ${\Sigma }^{*0}$, ${\Sigma }^{*-}$, ${\Sigma }^{*+}$, ${\Xi }^{*0}$, ${\Xi }^{*-}$, ${\Omega }^{-}$), plus selected mesons (${\pi }^0$, ${\pi }^{+}$, ${\pi }^{-}$, $K^0$, $K^{+}$, $K^{-}$, ${\rho }^0$, ${\rho }^{+}$, ${\rho }^{-}$, $K^{*0}$, $K^{*+}$, $K^{*-}$). The results are compared with available values from experiments and other theoretical calculations.

• Received 4 October 2005

DOI:https://doi.org/10.1103/PhysRevD.73.034503