Gravitational effects to the skyrmion spectra

Abstract:
We study axially symmetric regular solution in the Einstein-Skyrme system with winding number two. Especially, we mainly interest about the gravitational effects to the quantized dibaryonic spectra. In order to investigate the effects, we quantize the rotational and isorotational zero modes of the skyrmion using the collective coordinate method. We also estimate the static observable of a deuteron and other dibaryonic objects such as masses, charge densities, magnetic moments and quadrupole moments. We examine the effects of the gravitation on such physical quantities. We will also discuss some extensions of the model, like SU(3) dibaryonic spectra, blackhole solutions, etc.