Barley Minestrone

Heat the oil in a heavy 6-quart or larger pot over medium heat. Add the pancetta and cook, stirring frequently, until it becomes ever so slightly golden, 2 to 3 min. Add the cabbage, onion, carrot, celery, and garlic. Cook, stirring frequently, until the vegetables begin to soften, about 6 min. Add the broth, the tomatoes with their juices, the barley, rosemary, Parmigiano rind (if using), 1/2  tsp. salt, and 1 cup water. Bring to a boil over high heat, and then reduce the heat to a simmer and cook until the barley and vegetables are tender, about 20 min. Discard the rosemary sprigs and Parmigiano rind. Stir in the beans and season to taste with salt and pepper. Serve sprinkled with the grated Parmigiano.