The nearly vertical path on the Hertzsprung–Russell diagram that is followed by a fully convective star as it evolves (see diagram). Forming stars (protostars) descend such tracks on to the main sequence, becoming less luminous with time but maintaining a roughly constant surface temperature. The process occurs in reverse in old stars leaving the main sequence for the giant branch. It is named after the Japanese astrophysicist Chushiro Hayashi (1920–2010).