Mass formula

About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.

Application of the weak-coupling model for calculating the binding energies of neutron-rich ${\rm A} \sim 32$ nuclei

Abstract: The presence of an anomaly in binding energies for the “island of inversion” centered at Z = 11, N = 21 is obtained by comparison of macroscopic binding energies and experiment. The macroscopic calculations were done with a mass formula deduced from the reformulation of the liquid-drop model of Myers et al. ; this formula is described in detail such as its predictions for binding energies of neutron-rich A = 29-44 nuclei. These calculations have indicated the presence of anomalies in the “island of inversion”. A weak-coupling approximation is applied to study this deformed region. The binding-energy values obtained using this model show the absence of these anomalies.

On the masses of nonstrange pseudoscalar mesons and the generalized klein- gordon equation

Abstract: Some authors t reated recently the problem of strongly interacting particles by the use of Riemannian manifolds. One of the aspects of this problem was to consider the cigenvaluc problem for the Laplace-Beltrami operator as a generalized KleinGordon equation. in the following, we shall show how such a consideration enables us to remove the degeneracy between nonstrange pseudoscalar mesons with essentially the same quantum numbers, the levels being due to curvature of space. In a very interesting at tempt, R.~CZK~ (~) wrote the Laplace-Beltrami operator for the manifold S2x S 1 • R (S n being the ~-dimensional sphere and R the real line), with a given metric. In this case, the corresponding group of movement was O a • U~ x R . By the aid of these considerations, a , mass formula ~) was deduced whichfor the proper choice of the radi i -coincided with the 0kubo formula for pseudoscalar mesons. However, this t reatment calls for some remarks:

Effective four-body interaction in light nuclei

Abstract: In this paper the binding nuclear energies in the shells 1p3/2, 1d3/2, 1d5/2 and 1f7/2 have been calculated with a mass formula including generalized pairing interaction and an effective four-body interaction acting between nucleons coupled toJ =0 andT =0. The introduction of the four-body force considerably improves previous results: the correlation between the new parameter and the others is discussed in a qualitative way.

Constituent quarks, soft pions and meson masses

Abstract: In the constituent quark model, a simple mass formula is given to relate the masses of the vector and pseudoscalar mesons. Good agreement is obtained for all mesons, from the lightest π, ϱ mesons to the heaviest. In the limit of vanishing pion mass, alower limit of 230 MeV is obtained for the constituent quark mass.