[bigredseo]

Core files are memory dumps. Basically when the server encounters an error, or if the script you are running exceeds the amount of memory available for use on the server, it will generate a core dump and place the file into the directory where the script was called from.

You can contact your host to evaluate the core dump file, or possibly send to X-Cart for evaluation regarding their software.

If they're older files, feel free to remove the files as the issue that generated them is likely resolved.