The past three decades of investigation on nuclear physics and pulsar astrophysics have seen gradual recognition that elastodynamic approach to the continuum mechanics of nuclear matter provides proper account of macroscopic motions of degenerate Fermi-matter constituting interior of the nuclear material objects, the densest of all known today. This paper focuses on one theoretical issue of this development which is concerned with oscillatory behavior of a viscoelastic solid globe in the regime of quasistatic, force-free, non-compressional oscillations less investigated in the literature compared to oscillations in the regime of standing shear waves. We show that in this case the problem of computing frequency and lifetime of spheroidal and torsional modes of non-radial shear vibrations damped by viscosity can be unambiguously resolved by working from the energy balance equation and taking advantage of the Rayleigh's variational method. The efficiency of this method is demonstrated by solid globe models of nuclear physics and pulsar astrophysics dealing with oscillations of a spherical mass of a viscoelastic Fermi-solid with homogeneous and non-homogeneous profiles of the bulk density, the shear modulus, and the shear viscosity.

Spheroidal and torsional modes of quasistatic shear oscillations in the solid globe models of nuclear physics and pulsar astrophysics

The past three decades of investigation on nuclear physics and pulsar astrophysics have seen gradual recognition that elastodynamic approach to the continuum mechanics of nuclear matter provides proper account of macroscopic motions of degenerate Fermi-matter constituting interior of the nuclear material objects, the densest of all known today. This paper focuses on one theoretical issue of this development which is concerned with oscillatory behavior of a viscoelastic solid globe in the regime of quasistatic, force-free, noncompressional oscillations less investigated in the literature compared to oscillations in the regime of standing shear waves. We show that in this case the problem of computing frequency and lifetime of spheroidal and torsional modes of nonradial shear vibrations damped by viscosity can be unambiguously resolved by working from the energy balance equation and taking advantage of the Rayleigh's variational method. The efficiency of this method is demonstrated by solid globe models of nuclear physics and pulsar astrophysics dealing with oscillations of a spherical mass of a viscoelastic Fermi-solid with homogeneous and nonhomogeneous profiles of the bulk density, the shear modulus, and the shear viscosity.

Analysis of the differential cross sections for α+α elastic scattering is performed within the framework of the single and double-folding optical models. For the single folding model an effective α-nucleon interaction is used to generate the α–α real folded potential. For the double folding approach the Paris type of the M3Y effective nucleon–nucleon (NN) interaction is used to generate α–α real folded potential. Two appropriate density dependence parameterizations, CDM3Y6 and BDM3Y1, have been used for this NN interaction. The obtained potentials in conjunction with phenomenological Woods–Saxon (WS) imaginary potentials are used to investigate the elastic scattering data for several sets of data measured at three different ranges of energy, 6.5–18, 40.8–47.3, and 100–280 MeV. Satisfactory reproduction of the data has been extracted using the obtained potentials.

Alpha–Alpha Potentials in a Wide Range of Energies

The Landau equation with an energy- and momentumconserving collision term is solved for longitudinal and transverse fluid-dynamical and hydrodynamical collective modes. Depending on the value of the mean free collision time, complex longitudinal poles are found for negative Landau parameterF0 and transverse ones forF1<6.

Complex solutions of the Landau equation with collisional damping

Inst. de Fisica Teorica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 - Sao Paulo, SP

Nonlocal effects in the 8 Be breakup

α-α scattering in the generator-coordinate formalism

The collisionless Vlasov equation is solved by a moment expansion and truncated after the fourth moments. This scheme yields fluid dynamical equations for the eigenvibrations of a nucleus which are beyond the usual elastic equations. These Euler equations are solved exactly and also approximately for the normal parity (electric, surface) modes 2/sup +/, first excited 2/sup +/, 3/sup -/, 4/sup +/, the abnormal parity (magnetic, twist) modes 1/sup +/, 2/sup -/, and the compression (breathing and squeezing) modes 0/sup +/, 1/sup -/. Without adjustable parameters, agreement of the resulting giant resonance energies with experimental data, where available, is reasonably good. Since the corrections due to the inclusion of the third and fourth moments enhance the energies by up to 35%, the moment expansion converges only slowly.

Isoscalar giant-resonance energies and long-mean-free path nuclear fluid dynamics

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α-α scattering in the generator-coordinate formalism

Isoscalar giant-resonance energies and long-mean-free path nuclear fluid dynamics