It's "coaxial", and the full term is "coaxial cable", usually shortened to "coax".
And as far as using it for your SWL antenna, no need unless the radio has a jack specifically for coax. Then you'd have to install the proper connector.
JUST OUT OF CURIOSITY: What is the model number of your radio? I just did a Google search and the only C. Crane radio I saw was one that has AMBC, FMBC, VHF TV and NOAA Weather. No mention of any other frequencies for SWL purposes.
CCRadio-SW
Well I'm striking out so far, I tried a 20' piece of insulated copper wire to the antenna and id didn't help out much at all, so then I ran a 100ft piece out the bedroom window and around the back yard trees just to see if I was on the right track, and I'm just amplifying noise.
The radio can run on batteries so this weekend I might head out somewhere away from the house and see what the 100ft piece will do away from any noise.
I tried the 100 footer with both a pal connection on the back, and wrapped around the antenna.