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arXiv · 0908.2815

Semirelativistic N-boson systems bound by attractive pair potentials

Richard L. Hall·Wolfgang Lucha
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Abstract

We establish bounds on the energy of a system of N identical bosons bound by attractive pair potentials and obeying the semirelativistic Salpeter equation. The lower bound is provided by a `reduction', with the aid of Jacobi relative coordinates, to a suitably scaled one-body Klein-Gordon problem. Complementary upper energy bounds are provided by means of a Gaussian trial function. Detailed results are presented for the exponential pair potential V(r) = -v\exp(-r/a).

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BibTeXRIS

Richard L. Hall, Wolfgang Lucha. 2009-08-19. Semirelativistic N-boson systems bound by attractive pair potentials. https://doi.org/10.1088/1751-8113%2F42%2F39%2F395303

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