In a Dutch oven or a large soup pot add the olive oil, carrots, celery, and onions. Saute for 6 to 10 minutes or until they are starting to get tender.
When you are finished with sauteing the vegetables ad the cooked chicken, diced tomatoes, barley, bay leaf, and broth.
Bring the soup to a boil, once it starts to boil turn it down and simmer for 15 to 20 minutes. Add the corn, peas, salt, and pepper. Simmer another 5 to 10 minutes or until the vegetables and barley are tender.
Remove the bay leaves before serving.