Compressibility of Nuclear Matter from Shell Effects in Nuclei

M. M. Sharma

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arXiv · nucl-th/9904036

Compressibility of Nuclear Matter from Shell Effects in Nuclei

M. M. Sharma

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Abstract

The compressibility of nuclear matter has received significant attention in the last decade and a variety of approaches have been employed to extract this fundamental property of matter. Recently, significant differences have emerged between the results of relativistic and non-relativistic calculations of breathing mode giant monopole resonance (GMR). This is due to a lack of understanding of the dynamics of GMR and of its exact relationship to the compression modulus of the infinite nuclear matter. Here, I present an alternative approach based upon nuclear shell effects. The shell effects are known to manifest experimentally in terms of particle-separation energies with an exceedingly high precision. Within the framework of the non-relativistic density-dependent Skyrme theory, it is shown that the compressibility of nuclear matter has a significant influence on shell effects in nuclei. It is shown that 2-neutron separation energies and hence the empirical shell effects can be used to constrain the compressibility of nuclear matter.

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M. M. Sharma. 1999-04-13. Compressibility of Nuclear Matter from Shell Effects in Nuclei. https://arxiv.org/abs/nucl-th/9904036

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