Fluid-dynamical description of the gap fluctuations of two trapped fermion species

P. Capuzzi; E. S. Hernández; L. Szybisz

doi:10.1140/epjd/e2010-00205-6

EPJ

Fluid-dynamical description of the gap fluctuations of two trapped fermion species

P. Capuzzi¹^,2^a, E. S. Hernández¹^,2 and L. Szybisz¹^,2^,3

¹ Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
² Consejo Nacional de Investigaciones, Científicas y Técnicas, Argentina
³ Departamento de Física, Comisión Nacional de Energía Atómica, 1429 Buenos Aires, Argentina

Received: 14 May 2010
Published online: 2 August 2010

Abstract

We apply a recent generalisation of the fluid-dynamical scheme developed for two trapped fermion species with pairing interactions to examine the fluctuations of the gap density coupled to the particle transition density at low energy. The dynamical scheme satisfies Kohn's theorem for both the particle density and the pairing gap. We analyse the form of the gap fluctuations in a spherical trap in terms of their multipolarity and the interaction strength, and find that coupling to the particle density produces considerable stiffness of the gap transition density together with compression towards the centre of the trap.