| THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
|
|
|
|
Tunneling of Relativistic Bosons Induced by Magnetic Fields in the Magnetar's Crust |
| Marina-Aura Dariescu**, Ciprian Dariescu, Denisa-Andreea Mihu |
Faculty of Physics, Alexandru Ioan Cuza University of Iaşi Bd. Carol I, Iaşi 700506, Romania
|
|
| Cite this article: |
|
Marina-Aura Dariescu, Ciprian Dariescu, Denisa-Andreea Mihu 2015 Chin. Phys. Lett. 32 101101 |
|
|
|
|
Abstract The present work is devoted to the study of bosons evolving in the frozen magnetar's crust endowed with an ultra-strong magnetic field orthogonal to an electric field, both described by periodic functions. We discuss the quantum tunneling process through the one-dimensional potential barrier along Oz. The solutions to the Klein–Gordon equation are expressed in terms of Mathieu's functions which, for computable particle's energy range, are turning from oscillatory to exponentially growing modes along Oz. Within the Jeffreys–Wentzel–Kramers–Brillouin framework, the transmission coefficient is computed for the particle momentum in the middle of the instability range.
|
|
|
Received: 15 May 2015
Published: 30 October 2015
|
|
| PACS: |
11.15.-q
|
(Gauge field theories)
|
| |
97.10.Ld
|
(Magnetic and electric fields; polarization of starlight)
|
| |
97.60.Jd
|
(Neutron stars)
|
|
|
|
|
|
[1] Duncan R C and Thompson C 1992 Astrophys. J. 392 L9
[2] Goldreich P and Reisenegger A 1992 Astrophys. J. 395 250
[3] Gao Z F, Li X D, Wang N, Yuan J P, Peng Q H and Du Y J 2015 arXiv:1505.07013 [astro-ph.]
[4] Ruffini R, Vereshchagin G and Xue S S 2010 Phys. Rep. 487 1
[5] Thompson C 2008 Astrophys. J. 688 1258
[6] Beloborodov A M 2013 Astrophys. J. 762 13
[7] Heading J M A 1962 An Introduction to Phase-Integral Methods (London: Methuen)
[8] Fouvry J B, Pichon C and Prunet S 2015 arXiv:1504.04828 [astro-ph]
[9] Cumming A, Arras P and Zweibel E G 2004 Astrophys. J. 609 999
[10] Martin J and Schwarz D J 2003 Phys. Rev. D 67 083512
[11] Dariescu M A, Dariescu C and Buhucianu O 2011 Chin. Phys. Lett. 28 010303
[12] Gradshteyn I S and Ryzhik I M 1965 Table of Integrals, Series and Products (New York: Academic)
[13] Gao Z F, Wang N, Peng Q H, Li X D and Du Y J 2013 Mod. Phys. Lett. A 28 1350138
[14] Rheinhardt M and Geppert U 2002 Phys. Rev. Lett. 88 101103
[15] Buhucianu O, Dariescu M A and Dariescu C 2012 Int. J. Theor. Phys. 51 526
[16] Reichel A V, Smolyansky S A, Prozorkevich A V, Tarakanov A V and Bastrukov S I 2003 The 17th International Workshop on High-Energy Physics and Quantum Field Theory (Samara Saratov, Russia 4–11 September 2003) p 368 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
