Isaac Scientific Publishing

Journal of Particle Physics

Fractional Charge of Quarks and Fractal Properties of Hadrons

Download PDF (102.2 KB) PP. 1 - 3 Pub. Date: January 30, 2021

DOI: 10.22606/jpp.2021.51001

Author(s)

  • A. Bhattacharya*
    Department of Physics, Adamas University, Kolkata, India
  • S. Pal
    Department of Physics, Basanti Devi College, Kolkata,700029 India
  • D. S. Bhattacharya
    Julius-Maximilians University of Würzburg, Germany
  • P. Dhara
    Department of Physics, Adamas University, Kolkata, India

Abstract

The origin of fractional charge of a quark is investigated considering the fractal structure of a hadron. Hadron is suggested to be a fractal object with fractal dimension 9/2. Describing quark as a quasiparticle in an analogy with quasi particle in Fractional Quantum Hall Effect, the filling factors are extracted which show large fractional plateau. It is suggested that quarks behave like quasi particles and the fractional charges of quarks can be attributed to the fractal behavior of a hadron.

Keywords

fractal dimension, hadron, fractional quantum hall effect (FQHE), fractional charges, quark

References

[1] D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. 48(22), 1559 (1982)

[2] D. -Yu -Chung, J. Mod. Phys. 7, 1150 (2016)

[3] V. J. Goldman and B. Su, Science 267 (5200), 1010 (1995)

[4] J.D.F. Franklin, I. Zailer, C.J.B. Ford, P.J. Simpson, J.E.F. Frost, D.A. Ritchie, M.Y. Simmons and M. Pepper, Surf. Sci 361, 17 (1996)

[5] Eun-Ah Kim, M. J. Lawler, S. Vishveshwara and E. Fradkin, Phys. Rev B 74, 155324 (2006)

[6] J. H. Wang et al., J. Inst 7, (2012)

[7] M. Heiblum, Adv. in Solid State Physics 40, pp:21-34, (ASSP-40) Book Series.

[8] K. R. Patton and M. R. Geller, New. J. Phys. 16, 023004 (2014)

[9] R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983)

[10] R. Zielke, B. Braunecker and D. Loss, Phys. Rev. B 86, 235307 (2012).

[11] B. I. Halperin, Phys. Rev. Lett. 52, 1583 (1984)

[12] F. Tang, Y. Ren, P. Wang, R. Zhong, J. Schneeloch, et al., Nature 569, 537 (2019)

[13] S. Manna, B. Pal, W. Wang, and A. E. B. Nielsen, arXiv:1907.03193v1(Cond-matt-str-el), (2019)

[14] S. N. Kempkes, M.R. Slot, S. E. Freeney, S. J. M. Zevenhuizen, D. Vanmaekelbergh et al., Nat. Phys. 15(2), 127 (2019)

[15] S. N. Banerjee, A. Bhattacharya, B. Chakrabarti and S. Banerjee, Int. J. Mod. Phys. A 16(2), 201 (2001)

[16] S. N. Banerjee, A. Bhattacharya, B. Chakrabarti and S. Banerjee, Int. J. Mod. Phys. A 17(32), 4939 (2002)

[17] R. Saha, R. Ghosh, D. Bhattacharya, and A. Bhattacharya, AIP Conf. Proce. 2072, 020013 (2019)

[18] J. Jain, Phys. Rev. Lett. 63, 199 (1989)

[19] F. Wilczek, Phys. Rev. Lett. 49, 957 (1982)

[20] W. da. Cruz, arXiv:Cond-mat/0304398v6], (2004).

[21] J. E. Jacak, arXiv: 1704.06560, [Physics.gen-ph] (2017)

[22] S. Yarlagadda, Physica B 223, 640 (1996)