Lower the heat to a simmer, add the leek, thyme, and bay leaf, and simmer gently until the peas are falling apart, about 1-1/2 hours.
Meanwhile, heat the olive oil in a 12-inch nonstick skillet over medium-high heat. Add the onions and 1/2 tsp. salt. Cook, stirring with a wooden spatula, until browned around the edges, about 5 minutes. Turn the heat down to low, cover, and cook, stirring occasionally, until the onions are tender, about 15 minutes. Stir in the carrots and celery, cover, and continue cooking, stirring occasionally, until the carrots and celery are just tender, another 15 minutes.
Cut the skin from the ham hocks, and then remove the meat from the bone, discarding any large pieces of fat. Dice the meat and add it to the soup. Reheat the soup over medium-low heat, simmering and stirring occasionally, until it’s the consistency of heavy cream and pours easily from a ladle, about 10 minutes. Thin with a little water, if necessary. Season to taste with additional salt, pepper, and cayenne. Serve hot.
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