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若\(\left| {{z_1} - {z_2}} \right| = 1\)，则称\({z_1}\)与\({z_2}\)互为“邻位复数”．已知复数\({z_1} = a + \sqrt 3 {\rm{i}}\)与\({z_2} = 2 + b{\rm{i}}\)互为“邻位复数”，\(a,b \in {\rm{R}}\)，则\({a^2} + {b^2}\)的最大值为___．
参考答案：\(8 + 2\sqrt 7 \)
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