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The diagonal matrix elements$\langle\theta_1,\theta_2|T_{2n}T_{-2n}|\theta_1,\theta_2\rangle$ betweentwo-particle states in the sinh-Gordon model are computed analytically for allintegers $n>0$. This confirms the proposal by F. Smirnov and A. Zamolodchikovfor these matrix elements and demonstrates effectiveness of the algebraicapproach to form factors.

Note on four-particle form factors of operators $T_{2n}T_{-2n}$ in sinh-Gordon model