The existence of a secondary bow is confirmed for 13 C+ 12 C nuclear rainbow scattering in addition to the 16 O+ 12 C system. This is found by studying the experimental angular distribution of 13 C+ 12 C scattering at the incident 13 C energy EL=250 MeV with an extended double folding (EDF) model that describes all the diagonal and off-diagonal coupling potentials derived from the microscopic wave functions for 12 C using a density-dependent nucleon-nucleon force. The Airy minimum at θ ≈70 • , which is not reproduced by a conventional folding potential, is revealed to be a secondary bow generated dynamically by a coupling to the excited state 2 + (4.44 MeV) of 12 C. The essential importance of the quadruple Y2 term (reorientation term) of potential of the excited state 2 + of 12 C for the emergence of a secondary bow is found. The mechanism of the secondary bow is intuitively explained by showing how the trajectories are refracted dynamically into the classically forbidden angular region beyond the rainbow angle of the primary rainbow.PACS numbers: 25.70. Bc,24.10.Eq,24.10.Ht Rainbows have been attracting mankind including poets and scientists [1-6] at least two thousand years. A nuclear rainbow in the femto meter world discovered by Goldberg et al [7] is a Newton's zero-order rainbow [8], which was expected by Newton [2] but not realized in meteorological rainbow. The nuclear rainbows have been extensively studied [9] and found to be very important in the studies of nuclear interactions [9-20] and nuclear cluster structures [21][22][23][24][25]. The nuclear rainbows, which carry information about the deep inside of the nucleus, can uniquely determine the interaction potential, that is, the global potential which works over a wide range of energies from negative energy to the high energy region. The existence of a secondary bow is not expected in principle in a nuclear rainbow caused by refraction only. In fact, in the semiclassical theory of nuclear scattering [26][27][28][29] in a mean field nuclear potential, only one extremum, (i.e., only one rainbow) is allowed in the deflection function.Very recently the existence of a secondary bow has been reported [15] in the 16 O+ 12 C rainbow scattering at around E L =300 MeV. Its existence has not been noticed in the conventional optical model studies using a folding potential or a phenomelogical potential. The secondary bow is generated dynamically by a quantum coupling effect. Via quantum coupling to an excited state of 12 C, a secondary bow emerges in the classically forbidden darkside of the ordinary (primary) rainbow caused by a mean field nuclear potential of a Luneburg lens [8]. The dynamical coupling has been shown to cause an additional attraction, which plays a role of a second lens, in the intermediate and inner region of the mean field Luneburg lens potential [18]. It is intriguing and important to explore whether a secondary rainbow, which is logically not limited to the 16 O+ 12 C system, is confirmed in other systems.From this viewpoint, when we look...