## 4 Discussion  
Based on nucleon densities obtained via the SF method, interaction potentials were calculated for each tungsten isotope at the corresponding energies reported in EXFOR [12]. It is observed that the evaluated values are in good agreement with the theoretical values, as the differences are around 1-2%. The calculated interaction potentials exhibit strong agreement with theoretical values, with deviations generally remaining within the 1-2% range. As illustrated in Figures 4-7, the angular differential cross-section curves obtained using the SHF-WS + SF + TALYS 1.96 model generally show good agreement with experimental data, particularly in the forward scattering region. Notably, experimental features such as the diffraction-like structures observed around 50\({}^{\circ}\) in the \({}^{182}\)W(n,el) and \({}^{184}\)W(n,el) reactions are also reproduced in the SHF-WS simulations, supporting its applicability as an alternative microscopic model. Although some discrepancies remain at larger angles--possibly due to limitations in accounting for spin-orbit interactions--the overall shape and energy dependence of the distributions are captured reasonably well. This suggests that the evaluated model employed in this study offers a comparable level of consistency with experimental data, making it a viable alternative to the widely used Koning and Delaroche global OM available on the NRV platform [49; 50; 51]. At larger scattering angles, although a deviation from theoretical models is observed, the overall shape of the distribution remains qualitatively consistent. We only fail to capture the peak decrease that occurs around 150\({}^{\circ}\) of the scattering angle. Furthermore, the number of oscillatory features (i.e., minima and maxima) in angular differential cross sections increases with higher incident neutron energies. The reason  
Figure 7: Angular differential cross sections for \({}^{186}\)W(n,el) (**a**) 1.5 MeV [43; 68], (**b**) 2.5 MeV [43; 68], (**c**) 3.4 MeV [6; 43], and (**d**) 14 MeV [6; 43] at neutron incident energies. for this is that as the neutron incident energy increases, the interaction also increases, and therefore the scattering centers change. This is attributed to changes in the effective scattering centers, which broaden the angular distribution. In the graphs, we can see that there is less interaction because there are fewer scattering points at low energies. As the energy of the incident neutron increases, the wavelength decreases (\(\lambda=h/\sqrt{2 mE}\)) and the neutron particle starts to scatter back from the nucleons instead of the entire nucleus. Our model effectively captures the energy-dependent enhancements in backward-angle scattering by incorporating detailed Nn interactions through the SF approach, which significantly influences the NN interaction potential. This aspect will be explored in greater depth in future studies. Most tungsten (W) isotopes, especially the heavier ones (\({}^{182}\)W, \({}^{183}\)W, \({}^{184}\)W, and \({}^{186}\)W), exhibit non-spherical, i.e., deformed nuclear structures. This deformation can be observed as a deviation from spherical symmetry and is typically quantified by the quadrupole deformation parameter \(\beta_{2}\). Due to the asymmetry in their internal structure, deformed nuclei exhibit different scattering behaviors in interactions with incoming particles. This effect becomes particularly pronounced in angular differential cross sections. While spherical nuclei display symmetric scattering patterns, deformed nuclei break this symmetry, resulting in more complex angular distributions. Nuclear deformation also influences the nucleon density distribution, thereby directly affecting the accuracy of input data used in SF potential calculations, such as the densities obtained from the SHF-WS model. Consequently, accounting for deformation plays a critical role in achieving agreement with experimental data, especially at backward scattering angles.