Rotational And Vibration Coupling On The Nature Of The Baryon, The Modified Skyrme Model

In this paper,we study a modified skyrme model with mπ ≠ 0. At the same time,we consider Rotational-Vibrational coulping under the new baryon-number-preserving scaling transformation. The soliton hamilto-m'an with Rotational-Vibrational coulping about to scaling is deduced by the limitations of a semiclassical approximation. Then,the nucleon-Δ energy level split formula are obtained and the theoretical parameters fπ, m are fixed. Our results that the static properties of mucleons and the nucleon-Δ energy compare to Skyrme predict show that the most of theoretical values have heen improved and it is close to experimental value.