  The recent high precision observation of the most massive pulsar J1614-2230
with $(1.97\pm0.04)$ solar mass ($M_\odot$) was reported with a suggestion that
many nuclear models which consider exotic particles in the core could be ruled
out. However, many recent calculations could explain this star with various
exotic particles, rendering the precise mass measurements insufficient to
conclude on exotic cores. We examine the sensitivity of the radius of such a
star to the details of its core. With our calculations and analysis, here we
show that, for the most massive neutron star, with a precise observation of its
radius it is possible to ascertain the presence of exotic cores.
