Electric polarizability of neutral hadrons from dynamical lattice QCD ensembles

Understand

We present a valence calculation of the electric polarizability of the neutron, neutral pion, and neutral kaon on two dynamically generated nHYP-clover ensembles.

• The pion masses for these ensembles are 227(2) MeV and 306(1) MeV, which are the lowest ones used in polarizability studies.
• This is part of a program geared towards determining these parameters at the physical point.
• We carry out a high statistics calculation that allows us to: (1) perform an extrapolation of the kaon polarizability to the physical point; we find $\alpha_K =0.269(43)\times10^{-4}$fm$^{3}$, (2) quantitatively compare our neutron polarizability results with predictions from $\chi$PT, and (3) analyze the dependence on both the valence and sea quark masses.