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Gravitational transition form factors of $N(1535) \rightarrow N$

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arxiv 1912.06375 v3 pith:N55JOWNG submitted 2019-12-13 hep-ph hep-exhep-lat

classification hep-phhep-exhep-lat
keywords formfactorsgravitationalparametersrightarrowtransitionamplitudescurrent
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We employ the quark part of the symmetric energy-momentum tensor current to calculate the transition gravitational form factors of the $N(1535) \rightarrow N$ by means of the light cone QCD sum rule formalism. In numerical analysis, we use two different sets of the shape parameters in the distribution amplitudes of the $ N(1535) $ baryon and the general form of the nucleon's interpolating current. It is seen that the momentum squared dependence of the gravitational form factors can be well described by the p-pole fit function. The results obtained by using two sets of parameters are found to be quite different from each other and the $N(1535) \rightarrow N$ transition gravitational form factors depend highly on the shape parameters of the distribution amplitudes of the $N(1535)$ state that parametrize relative orbital angular momentum of the constituent quarks.

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