Article
Cluster Expansion of Cold Alpha Matter Energy
Romanian Journal of Physics (Impact Factor: 0.75). 01/2010; 55:933 (20 pp).
Source: arXiv
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Article: The Theory of Quantum Liquids
American Journal of Physics 02/1968; 36:279280. · 0.78 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: The ground state energy of ideal αmatter at T=0 is analyzed within the framework of variational theory of Bose quantum liquids. Calculations are done for three local α–α potentials with positive volume integrals and twobody correlation functions obtained from the Pandharipande–Bethe equation. The energy per particle of α matter is evaluated in the cluster expansion formalism up to fourbody diagrams, and using the HNC/0 and HNC/4 approximation for a Bose liquid. At low densities the two methods predict similar EOS whereas at higher densities they are sensitively different, the HNC approximation providing saturation at lower density, bellow the saturation value of nuclear matter. Inclusion of higherorder terms in the cluster expansion of the condensate fraction is leading to a stronger depletion of the alpha condensate with the density compared to the twobody approximation prediction.Physics Letters B 09/2009; · 4.57 Impact Factor 
Article: Theory of Quantum Fluids.
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ABSTRACT: The EulerLagrange ground state Jastrow and triplet Feenberg calculations for liquid ('4)He are generalized to finite temperatures. The thermally excited states are constructed from the generalized BijlFeynman functions giving a quasiparticle model, in an occupationnumber representation to 4th order in creation and destruction operators, which is approximately orthonormalized within certain truncations of the cumulant expansion of the static multiple density correlation functions. The GibbsBogoliubov inequality, the basis of the T (NOT=) 0 variational calculation, is applied to the 4th order Hamiltonian; three canonical transformations are developed to facilitate this calculation. Qualitative agreement with experiment from this microscopic calculation is obtained for the anomalous temperature dependence of the liquid structure function (delta)(K,T) which shows increasing short range order with increasing temperature below T(,(lamda)), and normal behavior above T(,(lamda)). Contrary to experiment, the rotonroton interaction in this model is repulsive. Semiempirical calculations using the experimental single particle excitation spectrum as input suggest that significant improvement in the (delta)(K,T) calculation is possible if the attractive rotonroton interaction was to be incorporated in the model.05/1981;
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