Nuclear level densities and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>γ</mml:mi></mml:math> -ray strength functions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Sn</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>120</mml:mn><mml:mo>,</mml:mo><mml:mn>124</mml:mn></mml:mrow></mml:mmultiscripts></mml:math> isotopes: Impact of Porter-Thomas fluctuations

Nuclear level densities (NLDs) and $\gamma$-ray strength functions (GSFs) of $^{120,124}$Sn have been extracted with the Oslo method from proton-$\gamma$ coincidences in ($p,p^{\prime}\gamma)$ reaction. The functional forms GSFs NLDs further constrained Shape by studying primary $\gamma$-transitions to ground first excited states.The demonstrate good agreement $^{116,118,122}$Sn isotopes measured previously. Moreover, partial NLD 1$^{-}$ levels $^{124}$Sn is shown be fair those deduced spectra relativistic Coulomb excitation forward-angle inelastic proton scattering. experimental applied estimate magnitude Porter-Thomas (PT) fluctuations. Within PT fluctuations, we conclude that for both can considered independent initial final energies, accordance generalized Brink-Axel hypothesis. Particularly large fluctuations observed Shape-method present a considerable contribution uncertainty method, may one reasons deviations Oslo-method at low energies values (below $\approx1\cdot10^{3}-2\cdot10^{3}$ MeV$^{-1}$).