SMWDs as SGRs/AXPs and the lepton number violation
J. Adam Jr., V.B. Belyaev, P. Ricci, F. \v{S}imkovic, E. Truhl\'ik

TL;DR
This paper explores the potential of strongly magnetized white dwarfs (SMWDs) with specific magnetic field strengths to explain SGRs/AXPs phenomena and investigates how lepton number violation via neutrinoless electron to positron conversion could influence their luminosity.
Contribution
It proposes SMWDs as candidates for SGRs/AXPs and estimates the impact of lepton number violation on their luminosity, a novel approach in this context.
Findings
SMWDs with magnetic fields of 10^9 to 10^11 G can explain SGRs/AXPs.
Neutrinoless electron to positron conversion affects the luminosity of iron SMWDs.
The study links magnetic properties and lepton number violation to observed high-energy phenomena.
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 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.
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