Passing data between controllers in Angular JS?

I have a basic controller that displays my products,

App.controller('ProductCtrl',function($scope,$productFactory){
     $productFactory.get().success(function(data){
           $scope.products = data;
     });
});

In my view I’m displaying this products in a list

<ul>
    <li ng-repeat="product as products">
        {{product.name}}
    </li>
</ul

What I’m trying to do is when someone click on the product name, i have another view named cart where this product is added.

 <ul class="cart">
      <li>
          //click one added here
      </li>
      <li>
          //click two added here
      </li>
 </ul>

So my doubt here is, how do pass this clicked products from first controller to second? i assumed that cart should be a controller too.

I handle click event using directive. Also i feel i should be using service to achieve above functionality just can’t figure how? because cart will be predefined number of products added could be 5/10 depending on which page user is. So i would like to keep this generic.

Update:

I created a service to broadcast and in the second controller i receive it. Now the query is how do i update dom? Since my list to drop product is pretty hardcoded.