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We have developed a Hauser-Feshbach fission fragment decay model, HF$^3$D,which can be applied to the statistical decay of more than 500 primary fissionfragment pairs (1,000 nuclides) produced by the neutron induced fission of$^{235}$U. The fission fragment yield $Y(A)$ and the total kinetic energy TKEare model inputs, and we estimate them from available experimental data for the$^{235}$U(n$\rm_{th}$,f) system. The model parameters in the statistical decaycalculation are adjusted to reproduce some fission observables, such as theneutron emission multiplicity $\overline{\nu}$, its distribution $P(\nu)$, andthe mass dependence $\overline\nu(A)$. The calculated fission product yield andisomeric ratio are compared with experimental data. We show that the calculatedindependent fission product yield $Y_I(A)$ at the thermal energy reproduces theexperimental data well, while the calculated isomeric ratios tend to be lowerthan the Madland-England model prediction. The model is extended to higherincident neutron energies up to the second chance fission threshold. Wedemonstrate for the first time that most of the isomeric ratios stay constant,although the production of isomeric state itself changes as the incident energyincreases.

$^{235}$U(n, f) Independent Fission Product Yield and Isomeric Ratio Calculated with the Statistical Hauser-Feshbach Theory