Pion and Kaon Polarizabilities at CERN COMPASS

TL;DR

This paper discusses the measurement of pion and kaon polarizabilities at CERN COMPASS, aiming to test QCD predictions and improve precision over previous experiments through gamma-pi Compton scattering data.

Contribution

It presents a new high-precision measurement method for pion and kaon polarizabilities using COMPASS, providing critical tests of chiral symmetry in QCD.

Findings

Expected measurement uncertainty for pion alpha of about 0.4

First measurements of kaon polarizabilities planned

Potential to significantly refine understanding of chiral dynamics

Abstract

The electric alpha and magnetic beta pion Compton polarizabilities characterize the pion's deformation in the electromagnetic field of the gamma during gamma-pi Compton scattering. The pion polarizabilities are key observables, and provide stringent tests of our understanding of chiral symmetry, its spontaneous breakdown, the role of explicit symmetry breaking in QCD. The chi_PT effective Lagrangian, using data from radiative pion beta decay, predicts the pion electric and magnetic polarizabilities alpha = -beta = 2.7 +- 0.4, in standard polarizability units. The polarizabilities deduced by Antipov et al. in their low statistics Primakoff experiment (~ 7000 events) were about three times larger than this prediction. For pion polarizability, gamma-pi scattering will be measured in CERN COMPASS via radiative pion Primakoff scattering (pion Bremsstrahlung) in the nuclear Coulomb field: pi + Z --> pi' + gamma + Z; equivalent to gamma + pi --> gamma + pi Compton scattering for laboratory gamma's of order 1 GeV incident on a target pion at rest. The pion polarizabilities are determined by their effect on the shape of the measured gamma-pi Compton scattering angular distribution. One can expect from COMPASS a total measurement uncertainty for alpha of order 0.4 for the pion polarizability. COMPASS can also carry out a first measurement of Kaon ploarizabilities. New high precision pion and Kaon polarizability measurements via radiative pion and Kaon scattering data from COMPASS will provide important new tests of the QCD chiral dynamics polarizability prediction.