Complex geometry of nuclei and atoms - Antoine Bret

Page 1. s to surfaces with zero signature, i.e. τ = 0. clear isotopes. The horizontal axis is proton number P (Z in physics notatio.
461KB taille 0 téléchargements 334 vues
Int. J. Mod. Phys. A 2018.33. Downloaded from www.worldscientific.com by UNIVERSITY OF CASTILLA-LA MANCHA (UCLM) UNIVERSITY LIBRARY on 10/05/18. Re-use and distribution is strictly not permitted, except for Open Access articles.

Complex geometry of nuclei and atoms

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●





● ● ● ● ● ● ● ● ● ●

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●

Fig. 3. Proton numbers P , and neutron numbers N , for atoms modelled as algebraic surfaces. The allowed region is limited by inequalities on the Chern numbers, as discussed in the text. Note the change of slope from 9 to 7 at the point P = 3, N = 27 on the boundary. The line N = P corresponds to surfaces with zero signature, i.e. τ = 0.

Fig. 4. Nuclear isotopes. The horizontal axis is proton number P (Z in physics notation) and the vertical axis is neutron number N . The shading (colouring online) indicates the lifetime of each isotope, with black denoting stability (infinite lifetime). 1830022-7