Is there a way to have advanced search results open the results in a new window?

I want the search to work like it does, but after the initial results show up I want the customer to be able to not lose the search results page when visiting a result.

For example they search for red widget. There is red widget A, red widget B and red widget C on the results page.

I want the customer to be able to keep the search page and if they click on any of the red widgets, I want the red widget product page to open in a new window.

Have I confused things enough? I can't figure out how to add target="_blank", because there are no <a href statements in header_php.php,
which is only a guess on my part as to what I may need to edit?

If anyone can point me in the right direction, that would be great. I tried to search, but I'm not so sure anyone has felt the need to try this.

Thanks