Asymptotic normalization coefficients and neutron halo of the excited states in<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">B</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:math>

The transfer reactions of ${}^{11}\mathrm{B}{(d,p)}^{12}\mathrm{B}$ and ${}^{12}\mathrm{C}{(d,p)}^{13}\mathrm{C},$ at incident energy of $11.8 \mathrm{MeV},$ have been used to extract asymptotic normalization coefficients and root-mean-square radii for the last neutron in ${}^{12}\mathrm{B}$ and ${}^{13}\mathrm{C}.$ It is found experimentally that the second ${(J}^{\ensuremath{\pi}}{=2}^{\ensuremath{-}})$ and third ${(J}^{\ensuremath{\pi}}{=1}^{\ensuremath{-}})$ excited states in ${}^{12}\mathrm{B}$ and the first ${(J}^{\ensuremath{\pi}}{=1/2}^{+})$ excited state in ${}^{13}\mathrm{C}$ are the neutron halo states, whereas the third ${(J}^{\ensuremath{\pi}}{=5/2}^{+})$ excited state in ${}^{13}\mathrm{C}$ is a neutron skin state.

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