Chiral-odd structure of the $N \to Δ$ transition: transverse multipoles from QCD light-cone sum rules

The matrix element of the tensor current between the nucleon and the $Δ(1232)$ is described by six form factors, which organize into transverse multipoles of rank zero to three. The rank-three term, an octupole, has no counterpart in the diagonal tensor matrix elements of the nucleon or in the elect