Study of dense helium plasma in the optimal hypernetted chain approximation

Physics – Nuclear Physics

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Quantum Effects On The Structure And Dynamics Of Nondegenerate Fluids, Late Stages Of Stellar Evolution

Scientific paper

We have studied the helium plasma in the hypernetted chain approximation considering both short-ranged internuclear and long-ranged Coulomb interactions. The optimal two-particle wave function has been determined in fourth order; fifth-order corrections have been considered in the calculation of the two-body and three-body correlation functions. The latter has been used to determine the pycnonuclear triple-alpha-fusion rate in the density regime 108 g/cm3<=ρ<=1010 g/cm3, which is of importance for the crust evolution of an accreting old neutron star. The influence of three-particle terms in the many-body wave function on the rate is estimated within an additional variational hypernetted chain calculation. Our results support the idea that the helium liquid undergoes a phase transition to stable 8Be matter at densities ρ~=3×109 g/cm3 as the plasma induced screening potential then becomes strong enough to bind the 8Be ground state.

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