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Prog. Theor. Phys. Vol. 85 No. 4 (1991) pp. 779-804

[ Full Text PDF : FREE ACCESS (1226K) ]

Elementary Excitations in a Solid Nuclear Matter

Koichi Takahashi

College of Liberal Arts, Tohoku Gakuin University, Sendai 981-31

(Received September 27, 1990)

Abstract:

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/fm3, the dynamics of phonons approximately reproduces the equations of state for PS's potetials 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±, π0 and of isomagnons, which further lowers the energy by O(100 MeV/nucleon).


URL : http://ptp.ipap.jp/link?PTP/85/779/
DOI : 10.1143/PTP.85.779

[ Full Text PDF : FREE ACCESS (1226K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 86 No. 3 (1991) pp. 685-702 :
    A Representation of SU(2) and Isospin Waves in a Solid Nuclear Matter
    Koichi Takahashi
  2. Progress of Theoretical Physics Vol. 89 No. 2 (1993) pp. 395-413 :
    Quantum Theory of Layer Vibration in the Layer-Structured Fermi Fluid
    Koichi Takahashi and Tatsuo Tsukamoto
  3. Progress of Theoretical Physics Vol. 91 No. 2 (1994) pp. 301-317 :
    Deformation of Lattice in a Solid Nuclear Matter
    Koichi Takahashi

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