Response functions of cold neutron matter: density fluctuations
| Autor: | Sedrakian, Armen, Keller, Jochen |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Phys. Rev. C 81, 045806 (2010) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.81.045806 |
| Popis: | We compute the finite temperature density response function of nonrelativistic cold fermions with an isotropic condensate. The pair-breaking contribution to the response function is evaluated in the limit of small three-momentum transfers q within an effective theory which exploits series expansion in powers of small q/p_F, where p_F is the Fermi momentum. The leading order O(q^2) contribution is universal and depends only on two fundamental scales, the Fermi energy and the pairing gap. The particle-hole Landau Fermi-liquid interaction contributes first at the next-to-leading-order O(q^4). The scattering contribution to the polarization tensor is nonperturbative (in the above sense) and is evaluated numerically. The spectral functions of density fluctuations are constructed and the relevance of the q^2 scaling for the pair-breaking neutrino emission from neutron stars is discussed. Comment: v2: 11 pages, 4 figures, matches published version. |
| Databáze: | arXiv |
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