Prunus persica (L.) Batsch `Galactica` is a new and distinct variety of edible peach tree that has the following unique combination of desirable features that are outstanding in a new variety. 1. Flower buds that demonstrate a high level of resistance to cold temperature injury. 2. Firm, white, low acid flesh fruit with excellent flavor and aroma. 3. Heavy and regular bearing of large size fruit, up to 3 inches in axial diameter. 4. Fruit with early maturity, typically early July in North Carolina. 5. Unique saucer-shaped fruit.