What template after search.php?

Hi,
I have an search on my site and it works as it should. It lists the searchresults on search.php. But when i follow a link on search.php i get the information i want but the site looks crazy. Its like it puts the info on the index.php and i have a sidebar on that template and it doesent work very well :/ I want to see the information on a page without sidebar. Can i make a template just for this?

Or what to do? ??