Semirelativistic N-boson systems bound by attractive pair potentials
Mathematical Physics
2009-10-12 v1 High Energy Physics - Phenomenology
math.MP
Quantum Physics
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).
Cite
@article{arxiv.0908.2815,
title = {Semirelativistic N-boson systems bound by attractive pair potentials},
author = {Richard L. Hall and Wolfgang Lucha},
journal= {arXiv preprint arXiv:0908.2815},
year = {2009}
}
Comments
12 pages, 2 figures