In a core for a rotary electric machine, first end portions of back yoke portions are linked to second end portions of back yoke portions of adjacent core segments so as to be rotatable around pivot portions. Each of the core segments is configured by alternately laminating first core segment sheets and second core segment sheets. The pivot portions are constituted by interfitting protruding portions that are formed on the first core segment sheets. The core segments are displaceable relative to the adjacent core segments between a contracted position in which spacing between the magnetic pole tooth portions is contracted and an expanded position in which spacing between the magnetic pole tooth portions is expanded, when the core segment linked body is opened out rectilinearly.