Nucleon-Antinucleon Interaction from the Skyrme Model: II. Beyond the Product Ansatz
نویسندگان
چکیده
We calculate the full static interaction of a Skyrmion and an anti-Skyrmion as a function of separation and relative grooming. From this, using projection methods and Born-Oppenheimer mixing, we obtain the nucleon antinucleon interaction. We find agreement with the major features of the empirical interaction including the strong central attraction and the sharp onset of annihilation at about 1 fm.
منابع مشابه
Nucleon-antinucleon interaction from the Skyrme model.
We calculate the nucleon-antinucleon static potential in the Skyrme model using the product ansatz and including some finite NC (number of colors) corrections. The mid and long range part of the spin-spin and tensor force are correctly given in both iso-spin channels while the central interaction has insufficient mid-range attraction. This is a well known problem of the product ansatz that shou...
متن کاملNucleon-Antinucleon Interaction from the Skyrme Model: II
We calculate the full static interaction of a Skyrmion and an anti-Skyrmion as a function of separation and relative grooming. From this, using projection methods and Born-Oppenheimer mixing, we obtain the nucleon antinucleon interaction. We find agreement with the major features of the empirical interaction including the strong central attraction and the sharp onset of annihilation at about 1 fm.
متن کاملLow Energy Nucleon-nucleon Scattering in the Skyrme Model
We present the study of the influence of the leading contribution from the kinetic energy of the Skyrme Lagrangian on the scattering of low energy nucleons. This classical kinetic energy for the 2-body system is computed using the product ansatz and is correct for low energy, well separated Skyrmions. We quantize the rotational degrees of freedom of the Skyrmions in order to give them the right...
متن کاملLow energy nucleon-nucleon scattering with the Skyrme model in the geodetic approximation.
We calculate nucleon-nucleon scattering at low energies and large impact parameter in the Skyrme model within the framework for soliton scattering proposed by Manton. This corresponds to a truncation of the degrees of freedom to the twelve collective coordinates which essentially describe the rigid body motion of the pair of Skyrmions. We take to its logical conclusion the result that the induc...
متن کاملAttractive Central Potential in the SU(3) Skyrme Model
Hideyuki Abe ∗ Institute of Physics, University of Tokyo, Komaba, Tokyo 153, Japan The interaction between the hyperon and the nucleon is investigated in the SU(3) Skyrme model. The static potential, which is expanded in terms of the modified SU(3) rotation matrices, is obtained for several orientations with the Atiyah-Manton ansatz. The interaction is calculated for the NN, ΛN, and ΣN systems....
متن کامل