Abstract

First, the liquid drop model assumes a priori; to the atomic nucleus composed of protons and neutrons, as an incompressible nuclear fluid that should comply with the Navier–Stokes 3D equations (N-S3D). Conjecture, not yet proven, however, this model has successfully predicted the binding energy of the nuclei. Second, the calculation of nuclear pressure <sup>p</sup><sup>0</sup> <sup>∈</sup>1:42, 1:94�10<sup>32</sup>Pa and average viscosity <sup>η</sup> <sup>¼</sup> <sup>1</sup>:<sup>71</sup> � <sup>10</sup><sup>24</sup> fm<sup>2</sup> <sup>=</sup><sup>s</sup> , as a function of the nuclear decay constant <sup>k</sup> <sup>¼</sup> <sup>p</sup><sup>0</sup> <sup>2</sup><sup>η</sup> <sup>¼</sup> <sup>1</sup> T1=<sup>2</sup> , not only complements the information from the National Nuclear Data Center, but also presents an analytical solution of (N- S3D). Third, the solution of (N-S3D) is a Fermi Dirac generalized probability function P xð Þ¼ , <sup>y</sup>, <sup>z</sup>, <sup>t</sup> <sup>1</sup> 1þe p0 <sup>2</sup><sup>η</sup> <sup>t</sup>�<sup>μ</sup> <sup>x</sup>2þy2þz<sup>2</sup> ð Þ1=<sup>2</sup> , Fourth,

the parameter μ has a correspondence with the Yukawa potential coefficient μ ¼ αm ¼ 1=r, Fifth, using low energy X-rays we visualize and measure parameters of the nuclear surface (proton radio) giving rise to the femtoscope. Finally, we obtain that the pressure of the proton is 8.14 times greater than the pressure of the neutron, and 1000 times greater than the pressure of the atomic nucleus. Analyzed data were isotopes: 9≤Z ≤ 92 and 9≤ N ≤200:

Keywords: femtoscope, Navier Stokes 3D, nuclear viscosity, minimum entropy
