On the chiral low-density theorem

Details On the chiral low-density theorem On the chiral low-density theorem

1999-02-22

arxiv.org/abs/nucl-th/9902054v1

Phys.Rev.C59:2801-2806,1999

Physics

Nuclear Physics

Nuclear Theory

15 pages, 4 eps figures

Scientific paper

10.1103/PhysRevC.59.2801

We show how the linear "low-density theorem" of Drukarev and Levin can be extended to arbitrary positive integer power of the baryon density $\rho$. The n^th coefficient in the McLaurin expansion of the fermion condensate's $\rho$ dependence is the connected n-nucleon sigma term matrix element. We calculate the $O(\rho^2)$ coefficient in lowest-order perturbative approximation to the linear sigma model and then show how this and other terms can be iterated to arbitrarily high order. Convergence radius of the result is discussed.

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