Structure of A=6 Nuclei: ${^6}He$, ${^6}Li$ and ${^6}Be$

It is commonly believed that ($\alpha$-d) and (${^3}He$ - ${^3}H$) represent equivalent states of ${^6}Li$. It is shown here that this is not correct. These two are actually orthogonal to each other. It is shown here that these two with very different shapes and forms actually co-exist for the ground state of ${^6}Li$. This shape co-existence is the same as similar phenomenon in heavy nuclei. The puzzling anomaly of extremely small branching ratio for beta delayed deuteron emission in ${^6}He$ is explained here. In addition the anomalously large branching ratio for beta delayed triton emission in ${^8}He$ is explained. The cluster structure of the ground state and of the low-lying states of ${^6}He$, ${^6}Li$ and ${^6}Be$ is clarified.