Figure 1

The evolution of $E_{LS}$ (in $\hslash \omega$) with $g_q∕g_m$ in three-boson (a) and four-boson (b) systems. $(L,S,\lambda )$ are marked by the levels.Reuse & Permissions

Figure 2

The radial wave functions, $R^a$ in (a) and $R^b$ in (b), as functions of $r$. The dashed curves are for $N=100$, while the solid ones are for $N={10}^5$. In each case the curves for $S=N-1,N-2$, 2, and 1 are plotted. However, they cannot be distinguished except the case of $R^b$ with a large $N$, where $S$ are marked by the curves. In (b), when $S$ lies in between and $N-S$ is even (odd), the associated curves are distributed between the curves with $S=2$ and 99 998 (1 and 99 999). Obviously, when $N-S$ is odd, the $S$ dependence is less explicit, and the $R^b$ with $S=N-2$ has a smallest size.Reuse & Permissions

Figure 3

$E_S^{\left(e\right)}-E_0^{\left(g\right)}$ against $N$. The upper (lower) solid line has $S=N-1$ (1). The dashed line is for $E_N^{\left(g\right)}-E_0^{\left(g\right)}$, namely the split of the GB.Reuse & Permissions