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HK: Fachverband Physik der Hadronen und Kerne

HK 4: Kernphysik/Spektroskopie

HK 4.2: Talk

Monday, March 12, 2007, 18:15–18:30, D

A mass-data-based description of nuclear ground states — Genevieve Mouze and •Christian Ythier — Faculte des Sciences,Université de Nice, France

In all nuclei and in each valence shell, the separation energies S(x,i) with x= n, 2n, p, 2p are the sum of a detachment energy s(x,i) from the last core and of the neutron-proton energies e (x, x') of the shell [1]; the energies e(x,x') can be calculated as differences between binding energies [2]; and a well- defined rank i within the shells can be assigned to the dinucleons and unpaired nucleon. Due to the linear decrease of the detachment energies with increasing i, the binding energy of a nucleus in its ground state, which is the sum of the s and e terms, can be expressed by an equation generalizing Talmi's quadratic equation [3].In the 4He valence shells, the negative detachment energies of neutrons, protons and diprotons of all ranks and of dineutrons of rank greater than 2 induce antibounding effects; this situation explains the small abundance of the elements Li, Be, and B in the cosmos; the tendency of dineutrons to form alpha- quasi-clusters with antibound diprotons explains various anomalies in the organisation of these shells. This communication is dedicated to the memory of Aaldert Wapstra.1. C.Ythier and G. Mouze, J. Nucl. Mat.166, 1989,74; 2.G. Mouze and C. Ythier, Nuovo Cimento A 103 (1990)105;3.I. Talmi, Rev. Mod.Phys. 34 (1962) 704.