Italian-Style Chicken Noodle Soup (Version 2) - Rachael Ray's non profit organization, Yum-o!

Ingredients

• 2 tablespoons olive oil, plus some for drizzling
• 2 carrots, peeled and chopped into half-inch dice
• 2 ribs celery, chopped
• 2 medium leeks, trimmed and chopped
• 1 small onion, chopped
• 1 bulb fennel, trimmed and chopped
• 2 large cloves garlic, grated or finely chopped
• Salt and pepper
• 1 can diced plum tomatoes (15 ounces)
• 8 cups chicken stock
• 1 rind from a Parmigiano Reggiano cheese round
• 1-1 1/2 pounds poached chicken breast, diced
• 1/3 pound green beans, halved lengthwise then sliced into thirds on bias
• 1 pound pici (fat spaghetti) or bucatini, broken in half