Skyrmion Properties in an Uniform Magnetic Field

Abstract

The mass and shape of skyrmion in an uniform magnetic field are investigated. Base on the symmetry of the system, an axially symmetric ansatz of the soliton is proposed to perform the study. The baryon number is shown to be always conserved even in a nonzero magnetic background. It is found that with the increase of the strength of magnetic field, the static mass of skyrmion first decreases then increases, as the dominant role shift from the linear term of magnetic field to the quadratic term of magnetic field, while the soliton size first increase then decrease. Finally, in the core part of magnetar, the equation of state have strong dependence of magnetic field, which also modifies the mass limit for magnetar.
- Skyrme model,
- strong magnetic field,
- magnetar

References

[1]	KHARZEEV D E, LANDSTEINER K, SCHMITT A, et al. Lect Notes Phys, 2013, 871: 1.
[2]	MIRANSKY V A, SHOVKOVY I A. Phys Rept, 2015, 576: 1.
[3]	SKOKOV V, ILLARIONOV A Y, TONEEV V. Int J Mod Phys A, 2009, 24: 5925.
[4]	BONATI C, D'ELIA M, MARITI M, et al. Phys Rev D, 2014, 89: 114502.
[5]	HE B R. Phys Rev D, 2015, 92: 111503.
[6]	SKYRME T H R. Nucl Phys, 1962, 31: 556.
[7]	BRIHAYE Y, PAK N K, ROSSI P. Phys Lett B, 1984, 149: 191.
[8]	HOLZWARTH G, SCHWESINGER B. Rept Prog Phys, 1986, 49: 825.
[9]	ADKINS G S, NAPPI C R, WITTEN E. Nucl Phys B, 1983, 228: 552.
[10]	DONG H, KUO T T S, LEE H K, et al. Phys Rev C, 2013, 87: 054332.
[11]	ADAM C, NAYA C, SANCHEZ-GUILLEN J, et al. Phys Lett B, 2015, 742: 136.
[12]	ADAM C, NAYA C. SANCHEZ-GUILLEN J, et al. Phys Rev C, 2015, 92: 025802.
[13]	HE B R, MA Y L, HARADA M. Phys Rev D, 2015, 92: 076007.
[14]	HE B R. Phys Lett B, 2017, 765: 109.

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沈阳化工大学材料科学与工程学院沈阳 110142

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Skyrmion Properties in an Uniform Magnetic Field

doi: 10.11804/NuclPhysRev.34.01.008

HE Bingran

Department of Physics, Nanjing Normal University, Nanjing 210023, China

Funds: Research Start-up Funding of Nanjing Normal University

Received Date: 2016-08-31
Rev Recd Date: 2016-10-11
Publish Date: 2017-03-20

Key words:

Abstract: The mass and shape of skyrmion in an uniform magnetic field are investigated. Base on the symmetry of the system, an axially symmetric ansatz of the soliton is proposed to perform the study. The baryon number is shown to be always conserved even in a nonzero magnetic background. It is found that with the increase of the strength of magnetic field, the static mass of skyrmion first decreases then increases, as the dominant role shift from the linear term of magnetic field to the quadratic term of magnetic field, while the soliton size first increase then decrease. Finally, in the core part of magnetar, the equation of state have strong dependence of magnetic field, which also modifies the mass limit for magnetar.

HE Bingran. Skyrmion Properties in an Uniform Magnetic Field[J]. Nuclear Physics Review, 2017, 34(1): 8-12. doi: 10.11804/NuclPhysRev.34.01.008

Citation:

HE Bingran. Skyrmion Properties in an Uniform Magnetic Field[J]. Nuclear Physics Review, 2017, 34(1): 8-12. doi: 10.11804/NuclPhysRev.34.01.008

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Reference (14)

[1]	KHARZEEV D E, LANDSTEINER K, SCHMITT A, et al. Lect Notes Phys, 2013, 871: 1.
[2]	MIRANSKY V A, SHOVKOVY I A. Phys Rept, 2015, 576: 1.
[3]	SKOKOV V, ILLARIONOV A Y, TONEEV V. Int J Mod Phys A, 2009, 24: 5925.
[4]	BONATI C, D'ELIA M, MARITI M, et al. Phys Rev D, 2014, 89: 114502.
[5]	HE B R. Phys Rev D, 2015, 92: 111503.
[6]	SKYRME T H R. Nucl Phys, 1962, 31: 556.
[7]	BRIHAYE Y, PAK N K, ROSSI P. Phys Lett B, 1984, 149: 191.
[8]	HOLZWARTH G, SCHWESINGER B. Rept Prog Phys, 1986, 49: 825.
[9]	ADKINS G S, NAPPI C R, WITTEN E. Nucl Phys B, 1983, 228: 552.
[10]	DONG H, KUO T T S, LEE H K, et al. Phys Rev C, 2013, 87: 054332.
[11]	ADAM C, NAYA C, SANCHEZ-GUILLEN J, et al. Phys Lett B, 2015, 742: 136.
[12]	ADAM C, NAYA C. SANCHEZ-GUILLEN J, et al. Phys Rev C, 2015, 92: 025802.
[13]	HE B R, MA Y L, HARADA M. Phys Rev D, 2015, 92: 076007.
[14]	HE B R. Phys Lett B, 2017, 765: 109.