H-dibaryon matter in the Skyrme model on a hypersphere

Abstract

We study the properties of H-dibaryon matter through the SO(3) Skyrmion solution on a three-dimensional hypersphere $S^3$. As the density increases, the swelling of H-dibaryon is found. Above a critical density, the system becomes uniform in terms of the baryon density. In this uniform phase, the critical order parameter is largely reduced, which can be interpreted as the chiral symmetry restoration. From the comparison with the $SO(2) \times SO(2)$ solution, the SO(3) soliton is found to be the true ground state for high density system with $R \leq 0.64$ fm in the B=2 sector with $N_f=3$.