SMWDs as SGRs/AXPs and the lepton number violation

Abstract

Possible nature of strongly magnetized white dwarfs (SMWDs) is studied. It is shown that for relatively low values of the equatorial surface magnetic field $B\sim 10^9-10^{11}$ G they can be good candidates for soft gamma-ray repeaters and anomalous X-ray pulsars (SGRs/AXPs). For the case of iron SMWDs the influence of a neutrinoless electron to positron conversion on the SGRs/AXPs luminosity is estimated.

Comments: 4 pages, contribution to the proceedings of the Workshop on calculation of double-beta-decay matrix elements (MEDEX'15), Prague, 9-12 June 2015, eds. O. Civitarese, I. Stekl and J. Suhonen