Resonances-Excitation Calculation Studies Investigation of δ(3,3) in  Ground State of  90Zr  Cold Finite Heavy Nucleus at Equilibrium and Under Large Compression

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Communications in Theoretical Physics ›› 2011, Vol. 55 ›› Issue (01) : 115-122.

Resonances-Excitation Calculation Studies Investigation of δ(3,3) in Ground State of 90Zr Cold Finite Heavy Nucleus at Equilibrium and Under Large Compression

Mohammed H.E. Abu-Sei'leek

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Abstract

A non-relativistic microscopic mean field theory of finite nuclei is investigated where the nucleus is described as a collection of nucleons and delta resonances. The ground state properties of ⁹⁰Zr nucleus have been
investigated at equilibrium and large amplitude compression using a
realistic effective baryon-baryon Hamiltonian based on Reid Soft Core (RSC)
potential. The sensitivity of the ground state properties is studied, such
as binding energy, nuclear radius, radial density distribution, and single
particle energies to the degree of compression. It is found that the most
of increasing in the nuclear energy generated under compression is used to
create the massive δ particles. For ⁹⁰Zr nucleus under compression at 2.5 times density of the normal nuclear density, the excited nucleons to δ's are increased sharply up to 14% of the total number of constituents. This result is consistent with the values extracted from relativistic heavy-ion collisions. The single particle energy levels are calculated and their behaviors under compression are examined too. A good agreement between results with effective Hamiltonian and the
phenomenological shell model for the low lying single-particle spectra is
obtained. A considerable reduction in compressibility for the nucleus, and
softening of the equation of state with the inclusion of the

Δ

's in
the nuclear dynamics are suggested by the results.

Key words

nuclear structure / compressed finite nuclei / δ-resonance

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Mohammed H.E. Abu-Sei'leek. Resonances-Excitation Calculation Studies Investigation of δ(3,3) in Ground State of 90Zr Cold Finite Heavy Nucleus at Equilibrium and Under Large Compression[J]. Communications in Theoretical Physics, 2011, 55(01): 115-122