publication . Article . Preprint . 1997

Photon dispersion in a supernova core

Alexander Kopf; Georg G. Raffelt;
Open Access
  • Published: 18 Nov 1997 Journal: Physical Review D, volume 57, pages 3,235-3,241 (issn: 0556-2821, eissn: 1089-4918, Copyright policy)
  • Publisher: American Physical Society (APS)
Abstract
While the photon forward-scattering amplitude on free magnetic dipoles (e.g. free neutrons) vanishes, the nucleon magnetic moments still contribute significantly to the photon dispersion relation in a supernova (SN) core where the nucleon spins are not free due to their interaction. We study the frequency dependence of the relevant spin susceptibility in a toy model with only neutrons which interact by one-pion exchange. Our approach amounts to calculating the photon absorption rate from the inverse bremsstrahlung process gamma n n --> n n, and then deriving the refractive index n_refr with the help of the Kramers-Kronig relation. In the static limit (omega --> ...
Persistent Identifiers
Subjects
free text keywords: Physics and Astronomy (miscellaneous), Astrophysics, High Energy Physics - Phenomenology, Magnetic moment, Bremsstrahlung, Spin-½, Omega, Particle physics, Nucleon, Physics, Inverse, Pauli exclusion principle, symbols.namesake, symbols, Dispersion relation

FIG. 1. The function s(x) as defined in Eq. (28). The

analytic approximation Eq. (29) is identical to within plotting

accuracy. [1] S. Mohanty and M.K. Samal, Phys. Rev. Lett. 77, 806

(1996). [2] G.G. Raffelt, Phys. Rev. Lett. 79, 773 (1997). [3] J.C. D'Olivo and J.F. Nieves, E-print hep-ph/9710305. [4] H.-T. Janka, W. Keil, G. Raffelt, and D. Seckel, Phys.

Rev. Lett. 76, 2621 (1996). [5] D.A. Kirzhnits, Usp. Fiz. Nauk. 152, 399 (1987) [Sov.

Phys. Usp. 30, 575 (1987)]. [6] H.A. Weldon, Phys. Rev. D 26, 1394 (1982). [7] A.G. Sitenko, Electromagnetic Fluctuations in Plasma

(Academic Press, New York, 1967). [8] J.D. Jackson, Classical Electrodynamics (John Wiley,

New York, 1975). [9] D. Forster, Hydrodynamic Fluctuations, Broken Symme-

Reading, Mass., 1975). [10] H.A. Weldon, Phys. Rev. D 28, 2007 (1983). [11] D. Pines and P. Nozi`eres, The Theory of Quantum Liq-

York, 1966). [12] G. Sigl, Phys. Rev. Lett. 76, 2625 (1996). [13] B.L. Friman and O.V. Maxwell, Astrophys. J. 232, 541

(1979). [14] S. Hannestad and G. Raffelt, E-print astro-ph/9711132

submitted to the Astrophysical Journal (Nov. 1997). [15] G. Raffelt and D. Seckel, Phys. Rev. D 52, 1780 (1995). [16] E. Braaten and D. Segel, Phys. Rev. D 48, 1478 (1993).

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