Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2005-04-29
Nucl.Phys. A762 (2005) 82-101
Physics
Nuclear Physics
Nuclear Theory
23 pages, 8 figures
Scientific paper
10.1016/j.nuclphysa.2005.08.006
In the framework of pionless nucleon-nucleon effective field theory we study different approximation schemes for the nuclear many body problem. We consider, in particular, ladder diagrams constructed from particle-particle, hole-hole, and particle-hole pairs. We focus on the problem of finding a suitable starting point for perturbative calculations near the unitary limit (k_Fa)->infinity and (k_Fr)-> 0, where k_F is the Fermi momentum, a is the scattering length and r is the effective range. We try to clarify the relationship between different classes of diagrams and the large g and large D approximations, where g is the fermion degeneracy and D is the number of space time dimensions. In the large D limit we find that the energy per particle in the strongly interacting system is 1/2 the result for free fermions.
Cotanch Stephen R.
Kao Chung-Wen
Schaefer Thomas
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