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A new approach has been used to explain the experimental data for the$^{12}$C+$^{12}$C system over a wide energy range in the laboratory system from32.0 MeV to 126.7 MeV. This new coupled-channels based approach involvesreplacing the usual first derivative coupling potential by a new,second-derivative coupling potential. This paper first shows and discusses thelimitation of the standard coupled-channels theory in the case where one of thenuclei in the reaction is strongly deformed. Then, this new approach is shownto improve consistently the agreement with the experimental data: the elasticscattering, single-2$^{+}$ and mutual-2$^{+}$ excitation inelastic scatteringdata as well as their 90$^{\circ}$ elastic and inelastic excitation functionswith little energy-dependent potentials. This new approach makes majorimprovement on all the previous coupled-channels calculations for this system.Comment: 24 pages with 9 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

Analysis of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:math>reaction using a new type of coupling potential

Analysis of the12C+12Creaction using a new type of coupling potential