Nucleon-antinucleon Interaction from the Modified Skyrme Model

Abstract

We calculate the static nucleon-antinucleon interaction potential from the modified Skyrme model with additional $B^{\mu }{B}_{\mu }$ term using the product ansatz. The static properties of single baryon are improved in the modified Skyrme model. State mixing is taken into account by perturbation theory, which substantially increases the strength of the central attraction. We obtain a long and mid range potential which is in qualitative agreement with some phenomenological potentials.

21 pages, 7 figure

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• Nuclear binding energies from a BPS Skyrme model
• Skyrme models and nuclear matter equation of state
• The gauged BPS baby Skyrme model
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Realistic classical binding energies in the $\omega$-Skyrme model
• Symmetries and exact solutions of the BPS Skyrme model
• Radial vibrations of BPS skyrmions
• Dense matter equation of state and phase transitions from a Generalized Skyrme model
• Kaon condensation in skyrmion matter and compact stars
• On the spin excitation energy of the nucleon in the Skyrme model
• A BPS Skyrme model