Wash the rabbit, dab dry and divide into 8 pieces. Peel and wash the carrots, cut them in half lengthwise and cut into pieces. Peel onions and cut into slices. Wash garlic and drain (do not peel!).
Put the rabbit, carrots, onions and garlic in a large roasting pan. Season well with salt and pepper. Wash the herbs and dab dry. Pluck thyme leaves, except for 2-3 stems. Place the herb stems or twigs on the rabbit.
Heat butter. Sauté the thyme leaves in it. Pour thyme butter evenly over the rabbit. Braise the rabbit in the preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: level 3) open for 40-45 minutes.
At the same time, scoop with butter several times. Peel and wash the potatoes and cook in salted water for about 20 minutes. Then drain and allow to drain. Arrange everything.