‘‘The present situation of the B factory studies is that the problems of the synchrotron radiation background in the detector appear almost insurmountable for head‐on collisions with round beams. This paper explores the possibility of colliding flat beams in the head‐on cofiguration and evaluates the synchrotron radiation background. All of the formulae derived in this paper would indicate that this flat beam shape should lead to a significant improvement in the detector environment.’’ (AIP)