Skyrme model with different mass terms

We consider a one parameter family of mass terms for the Skyrme model that disfavors shell-like configurations for multibaryon classical solutions. We argue that a model with such mass terms can provide a better description of nuclei as shell-like configurations are now less stable than in the traditional massive Skyrme model.

Figure 1

Solution for $B=1$ and $m=0.5$. (a) Profile function for $D=0$, 0.1, 0.15, and 0.19. (b) Energy as a function of $D$.

Figure 2

Relative baryon energies: $E(B)/BE(1)$ as a function of $D$ (a) $m=0.2$, (b) $m=0.4$, (c) $m=0.8$, (d) $m=1$.

Figure 3

Shell radius: $r={\int }_0^{\infty }\rho E(\rho ){\rho }^{2}d\rho /{\int }_0^{\infty }E(\rho ){\rho }^{2}d\rho$ as a function of $D$ (a) $m=0.2$, (b) $m=0.4$, (c) $m=0.8$, (d) $m=1$.