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A new empirical formula has been developed that describes the $({\gamma}, n)$nuclear reaction cross sections for the isotopes with $Z \geq 60$. The resultswere supported by calculations using TALYS - 1.6, EMPIRE - 3.2.2 nuclearmodular codes. The energy region for incident photon energy have been selectednear to the giant dipole resonance (GDR) peak energy. The evaluated empiricaldata were compared with available data in the experimental data library -EXFOR. The data produced using TALYS - 1.6 and EMPIRE - 3.2.2 were in goodagreement with experimental data. We have tested and presented thereproducibility of the present new empirical formula. We observed thereproducibility of the new empirical formula near to GDR peak energy is in goodagreement with the experimental data and remarkable dependency on key nucleiproperties: the neutron, proton and atomic number of the nuclei. The behaviorof nucleus near GDR peak energy, and dependency of GDR peak on the isotopicnature were predicted. An effort has been made to explain the deformation ofthe GDR peak in $({\gamma}, n)$ nuclear reaction cross section for someisotopes, which could not reproduce with TALYS - 1.6 and EMPIRE - 3.2.2. Theevaluated data have been presented for the isotopes 180W, 183W, 202Pb, 203Pb,204Pb, 205Pb, 231Pa, 232U, 237U and 239Pu that have no previous measurements.

New Empirical Formula for ({/gamma}, n) reaction cross section near to GDR Peak for elements with Z \geq 60