71 research outputs found
Effective Range Expansion for the Interaction Defined on the Lattice
The relation between the interaction parameters for fermions on the spatial
lattice and the two-body matrix is discussed. The presented method allows
determination of the interaction parameters through the relatively simple
computational scheme which include the effect of finite lattice spacing. In
particular the relation between the interaction parameters and the effective
range expansion parameters is derived in the limit of large lattices.Comment: Proceedings from XVI Nuclear Physics Workshop in Kazimierz Dolny,
Poland. Accepted to publish in the International Journal of Modern Physics E,
vol. 1
Neutron Stars and Quantum Billiards
Homogeneous neutron matter at subnuclear densities becomes unstable towards
the formation of inhomogeneities. Depending on the average value of the neutron
density one can observe the appearance of either bubbles, rods, tubes or plates
embeded in a neutron gas. We estimate the quantum corrections to the ground
state energy (which could be termed either shell correction or Casimir energy)
of such phases of neutron matter. The calculations are performed by evaluating
the contribution of the shortest periodic orbits in the Gutzwiller trace
formula for the density of states. The magnitude of the quantum corrections to
the ground state energy of neutron matter are of the same order as the energy
differences between various phases.Comment: 11 pages, contribution to the Nobel Symposium on Quantum Chaos Y2K,
Backaskog Castle, Sweden, June 13-17, 200
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