The cranking formula and the spurious behaviour of the mass parameters

Details The cranking formula and the spurious behaviour of the mass parameters The cranking formula and the spurious behaviour of the mass parameters

2009-08-10

arxiv.org/abs/0908.1252v3

Int.J.Mod.Phys.E19:2141-2165,2010

Physics

Nuclear Physics

Nuclear Theory

version 3 corrigendum of the ansatz of section V, corrigendum of the legend of Fig3. Submission = text file + 5 figures

Scientific paper

10.1142/S0218301310016569

We discuss some aspects of the approach of the mass parameters by means of the simple cranking model. In particular, it is well known that the numerical application of this formula is often subject to ambiguities or contradictions. It is found that these problems are induced by the presence of two derivatives in the formula. To overcome these problems, we state a useful ansatz and we develop a number of simple arguments which tend to justify the removal of these terms. As soon as this is done, the formula becomes simpler and easier to interpret. In this respect, it is shown how the shell effects affect the mass parameters. A number of numerical tests help us in our conclusions.

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