Abstract
The phonon excitation spectrum of Coulomb lattice in the neutron star crusts is studied by solving Dyson's equation for phonons. It is shown that a strong renormalization of the phonon spectrum occurs at densitiesρ≥ρ s /4 for the crustal matter compositions with spherical nuclei, which imply relatively small nuclear mass numbers and charges. It is shown that, the lattice becomes unstable against density fluctuations above a critical density of the order of ∼ρ s /3, whereρ s ≃2.6x1014 g cm−3 is the nuclear saturation density. The neutron quasiparticle spectrum and the virtual mass of a nucleus are briefly discussed.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Abrikosov, A.A., Gor'kov, L.P. and Dzyaloshinski, I.E.: 1963,Methods of Quantum Field Theory in Statistical Physics, Dover, N.Y., §21.
Arponen, J.: 1972,Nucl. Phys. A 191, 257.
Baym, G., Bethe, H.A. and Pethick, C. J.: 1971,Nucl. Phys. A 175, 225.
Bethe, H.A., Börner, G. and Sato, K.: 1970,Astron. Astrophys. 7, 279.
Buchler, J.R., and Barkat, Z.: 1971,Phys. Rev. Lett. 27, 48.
Fröhlich, H.: 1952,Proc. Roy. Soc. A215, 291.
Lorenz, C.P., Ravenhall, D.G. and Pethick, C.J.: 1993,Phys. Rev. Lett. 70, 379.
Migdal, A.B.: 1958,Sov. Phys. JETP 34, 1438.
Migdal, A.B.: 1978,Theory of Finite Fermi Systems and Properties of Atomic Nuclei, Wiley, NY.
Negele, J.W. and Vautherin, D.: 1973,Nucl. Phys. A 207, 298.
Oyamatsu, K.: 1993,Nucl. Phys. A 561, 431.
Perey, F. and Buck, B.: 1962,Nucl. Phys. A 32, 353.
Ravenhall, D.G., Bennett, C.D. and Pethick, C.J.: 1972,Phys. Rev. Lett. 28, 978.
Sahakian, G.S.: 1974,Equilibrium Configurations of Degenerate Gaseous Masses, Wiley, NY, (Israeli program of Scientific Translations, Jerusalem), §20.
Sedrakian, A.D., Blaschke, D., Röpke, G. and Schulz, H.: 1994,Phys. Lett. B 338, 111.
Shapiro, S.L. and Teukolsky, S.A.: 1983,Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects, Wiley, NY, p. 188.
Voskresensky, D.N.: 1993,Nucl. Phys. A 555, 293.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sedrakian, A.D. Neutron-phonon interaction in neutron stars: Phonon spectrum of Coulomb lattice. Astrophys Space Sci 236, 267–276 (1996). https://doi.org/10.1007/BF00645148
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00645148