Solving the Richardson equations for Fermions

Details Solving the Richardson equations for Fermions Solving the Richardson equations for Fermions

2003-12-17

arxiv.org/abs/nucl-th/0312070v1

Phys.Rev. C69 (2004) 061303

Physics

Nuclear Physics

Nuclear Theory

5 pages, 4 figures, submitted to Phys.Rev.C

Scientific paper

10.1103/PhysRevC.69.061303

Forty years ago Richardson showed that the eigenstates of the pairing Hamiltonian with constant interaction strength can be calculated by solving a set of non-linear coupled equations. However, in the case of Fermions these equations lead to singularities which made them very hard to solve. This letter explains how these singularities can be avoided through a change of variables making the Fermionic pairing problem numerically solvable for arbitrary single particle energies and degeneracies.

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