Deformation of Lattice in a Solid Nuclear Matter : Nuclear Physics

概要

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The effect of the deformation of lattice in the three dimensional (3D) ALS (i.e., alternating layer spin) solid of neutron matter is investigated, taking the elastic-, spin- and isospin-wave excitations into account in the model with Pandharipande-Smith (PS)'s potential and non-vanishing classical pion field. The q-number part of pion-field is replaced by the effective one-pion-exchange potential (OPEP). The tetragonal structure of lattice is presumed. Solutions of the equation of motion (EOM) for the ground state are sought by the variational method for two cases in which c-number part of π^--field is non-vanishing and is supposed to be propagating either (i) perpendicularly to or (ii) within layers of 3D ALS solid. The phonon and magnon sectors of Hamiltonian are diagonalized for case (i) and the phonon sector for case (ii). The criterion of the stability is the absence of imaginary part in the dispersion relations of phonon and of magnon. In both cases, tetragonal lattices have energies about 40 MeV/nucleon lower than the simple cubic (sc) lattices in the density region of [0.35 fm^<-3>, 0.75 fm^<-3>]. In (i), the zero-point energy of magnon is a few percent of phonon. Both in (i) and (ii), the charged pion condensations are negligible.
理論物理学刊行会の論文
1994-02-25