Parametrization of transition energy-momentum tensor form factors

While the Lorentz structures of the N -> Delta transition matrix element of the vector current are well-known, that of the symmetric energy-momentum tensor current is unknown. In this letter, we first reproduce the Lorentz structures of the 1/2(+/-) -> 1/2(+/-), 1/2(+/-) -> 1/2(+/-), and 1/2(+/-) -> 3/2(+/-) transition matrix elements of the vector current. We also repeat the parametrizations of the symmetric energy-momentum tensor current for the 1/2(+/-) -> 1/2(+/-) and 1/2(+/-) -> 12(+/-) transitions. We then consider both 1/2(+/-) -> 3/2(+/-) and 1/2(+/-) -> 3/2(+/-) matrix elements of the symmetric energy-momentum tensor current (say, N -> Delta transition) for the first time. We found that there are five independent conserved and four independent non-conserved energy-momentum tensor form factors. (c) 2022 The Author(s). Published by Elsevier B.V.

Automated summary

In this letter, the Lorentz structures and transition matrix elements of the vector current and symmetric energy-momentum tensor current are investigated. The study reveals the existence of five independent conserved and four independent non-conserved energy-momentum tensor form factors for the symmetric energy-momentum tensor current.