Put the soup chicken with the soup greens, peppercorns and bay leaves in a high saucepan, pour in the stock and bring to the boil. Skim off the foam and cover and simmer over a medium heat for about 1 hour. Remove the chicken from the broth, pour the broth through a fine sieve and return to the saucepan. Reduce by approx. 1/3 over high heat. Skin, boneless and finely chop the chicken.
White asparagus, peeled, cut diagonally into pieces approx. 2 cm long, add to the broth and cook for a total of 8 minutes. After 4 minutes, green asparagus, the lower third peeled, cut diagonally into pieces approx. 2 cm long, and add snow peas.
Stir in the cream, meat and cooked rice, bring to the boil briefly, season with salt, pepper, sugar, lemon juice and zest. Serve sprinkled with parsley.