I've tasted them and they're rather bitter so I've ruled out alpines, unless there's some sort of ornamental type... ?
Looks like Duchesnea chrysantha. Common name false strawberry. http://images.google.com/images?q=d...1I7SUNA_en-GB&um=1&ie=UTF-8&sa=N&hl=en&tab=wi Or Duchesnea indica. Now renamed Potentilla indica. http://en.wikipedia.org/wiki/Mock_Strawberry