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 p0∈1.42,1.94]1032Pa and average viscosity η=1.71×1024fm2/s, as a function of the nuclear decay constant k=p02η=1T1/2, 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 Pxyzt=11+ep02ηt−μx2+y2+z21/2, Fourth, the parameter μ has a correspondence with the Yukawa potential coefficient μ=αm=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.
Reference18 articles.
1. Burkert VD. Elouadrhiri, L. & Girod, F.X (2018). The pressure distribution inside the proton. Nature. 2018;557:396-399. DOI: https://doi.org/10.1038/s41586-018-0060-z
2. P. E. Shanahan and W. Detmold (2019). Pressure Distribution and Shear Forces inside the Proton. Phys. Rev. Lett. 122, 072003 – Published 22 February 2019
3. Ozel F, Freire P. Masses, Radii, and Equation of State of Neutron Stars. Ann. Rev. Astron. Astrophys. 2016;401-440(2016):54
4. Pagels, H (1966). Energy-Momentum Structure Form Factors of Particles", Phys. Rev. 144, 1250–1260 (1966).
5. Ji, X. D (1997). Deeply virtual Compton scattering", Phys. Rev. D 55, 7114–7125 (1997).