Spaghetti al Limone with Poached Chicken Recipe

Name: Spaghetti al Limone with Poached Chicken Recipe
Ingredients: 3 cups homemade or store-bought low-sodium chicken stock; 12 ounces boneless, skinless chicken breast (about 2 medium breast halves); Kosher salt and freshly ground black pepper; 1 1/2 cups basil leaves, chiffonaded or finely chopped, stems reserved; 1 pound dry spaghetti; 6 tablespoons heavy cream; 1/4 cup zest and 5 tablespoons juice from 3 to 4 lemons; 4 tablespoons extra virgin olive oil, plus extra for drizzling over pasta; 2 ounces parmesan cheese, finely grated, plus extra for serving on the side