Our previous experimental method and results of (EC+β⁺) decay for the medium-heavy nuclei ¹⁵³Er, ¹⁵⁷Yb, ²⁰⁹Fr, ¹²⁸Ce, ¹³⁰Ce, ¹²⁸Pr, ¹³⁰Pm and ¹⁴⁰Tb have been briefly summarized. The observed low-lying states in their daughter nuclei and a 11/2^- isomeric state in ¹³³Pr have been reviewed in a systematic way and compared with different model calculations. Finally, some questions have been put forward for further study and discussion.

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