Elementary Excitations in a Solid Nuclear Matter : Nuclear Physics

概要

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The effects of elementary excitations to the nature of dense solid nuclear matter are investigated using the Pandharipande-Smith (PS) potentials. A trial wave function embodying a simple cubic structure of nucleonic lattice leads to the Hamiltonian describing the dynamics of lattice vibrations (or phonons) spin-waves (or magnons) and isospin-waves (or 'isomagnons'). Magnons and isomagnons are treated as the Holstein-Primakoff bosons. In the density range from around 0.3 to 1 nucleons/fm^3, the dynamics of phonons approximately reproduces the equations of state for PS's potentials 2 and 3. At the lowest order of perturbations, due to the tensor interaction, magnon has an energy gap of the order of 100 MeV at infinite wavelength, while isomagnon is gapless. The energy is lowered by O(100 MeV/nucleon) in virtue of the zero-point fluctuation of spins. A simple variational method indicates that the ground state is likely to be realized by the simultaneous condensation of π^±,π^0 and of isomagnons, which further lowers the energy by O(100 MeV/nucleon).
理論物理学刊行会の論文
1991-04-25