We examine the cooling mechanism of a nascent neutron star core by the
emission of wrong helicity neutrinos, when the core is at the verge o
f pion condensation. We study the dominant process pi(-) p --> n nu<(n
u)over bar>due to neutrino magnetic moment in terms of the model-indep
endent multipole amplitudes based on dispersion relation theory. This
calculation gives a more realistic emission rate for neutrinos and hen
ce an upper bound for neutrino magnetic moment.