  Radio observations of the region surrounding PSR J1301-6305 at 5.5 GHz and
7.5 GHz were conducted with ATCA on September 5th, 2013. They were dedicated to
the search of the radio counterpart of the evolved pulsar wind nebula HESS
J1303-631, detected in X-rays and GeV-TeV gamma-rays. The collected data do not
reveal any significant extended emission associated with PSR J1301-6305. In
addition, archival 1.384 GHz and 2.368 GHz data do not show any evidence for a
radio counterpart of HESS J1303-631. Archival 1.384 GHz observations reveal a
detection of an extended structure centred at an angular distance of 190 from
the pulsar. This extended structure might be a Supernova remnant (SNR) and a
potential birth place of PSR J1301-6305. The implications of the lack of radio
counterpart of HESS J1303-631 on the understanding of the nature of the PWN are
discussed.
