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Masses of Hadrons by Higgs like Mechanism from Harmonic Oscillator Model in Weak Interactions Mediated by W± Bosons

Received: 22 December 2018     Accepted: 18 January 2019     Published: 14 February 2019
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Abstract

When a W± boson is emitted in the weak interaction, the coupling of the particle with the boson puts the particle into simple harmonic oscillation by the transient Coulomb force between the particle and the boson. If the W± boson is displaced by some selected distance, hadrons appear with inertial masses by a Higgs like mechanism due to coupling of the quark field of a particle with the Higgs field via W± boson Masses of meson nonets, baryon octet and decuplet are constructed by using weak coupling constant corrected for screening effect. The mass differences between pairs of particles arising from the breaking of the isospin (Iz) symmetry in the Standard Model (SM) is explained considering a Higgs like mechanism in the harmonic oscillator (HO) model for hadrons. The hypercharge (Y) of the standard model is found to be related to the distance quantum number (N) at which a hadron appears. Zero point energies of hadrons predicted from this model are verifiable from Casimir effect.

Published in International Journal of High Energy Physics (Volume 5, Issue 2)
DOI 10.11648/j.ijhep.20180502.11
Page(s) 63-67
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Masses of Hadrons, Higgs Like Mechanism, Harmonic Oscillator Model, Electroweak Radiative Corrections, Mass of the Proton

References
[1] Peter W. Higgs, Broken Symmetries and Masses of Gauge Bosons, Phys. Rev. Lett. 13 (16), (1964) 508-509. F. Englert, R. Brout, Broken Symmetries and Masses of Gauge Vector Mesons, Phys. Rev. Lett., 13 (9), (1964) 321-323.
[2] S. Weinberg, The Quantum Theory of Fields, Modern Applications, vol. II, Camb. Univ. Press (1996).
[3] A. Djouda, The Anatomy of Electroweak Symmetry Breaking, I: The Higgs Boson in the Standard Model, Phys. Report, 457 (2008) 1-216.
[4] A. Pich, The Standard Model of Electroweak interactions, arXiv: 1201.0537v1 [hep-ph] 2 january, (2012).
[5] Stephan Godfrey and Nathan Isgur, Mesons in a relativized quark model with chromodynamics, Phys. Rev., D 32, (1985) 189.
[6] Simon Capstick and Nathan Isgur, Baryons in a relativized quark model with chromodynamics, Phys. Rev., D 34, (1986) 2809.
[7] Anthony J. G. Hey and Robert L. Kelly, Phys. Report, 96, (1983) 71.
[8] Kh. M. Mannan, A Formula of Particles Oscillating in Electromagnetic and Weak Fields Giving Energy and Decay of Particles, Beta Decay and Energy Levels of Hydrogen Atom, The Winnower, 2:143485.58417 (2015).
[9] P. J. Mohr, B. N. Taylor and D. B. Newell, CODATA Recommended Values of the Fundamental Physical Constants, Rev. Mod. Phys., 80 (2008) 633.
[10] David J. Griffiths, Introd. To Quant. Mech., 2nd Ed. Prentice Hill, (2004).
[11] V. L. Kushtan, The Theory of Weak Interactions and Intermediate Bosons, Izvestya VUZ, Fizika no. 2 (1966) 128-132.
[12] C. Amsler et al, Review of Particle Physics, Phys. Lett. B, 667 (2008) 1-6.
[13] M. Steinhauser, Results and techniques of Multi-loop Calculation, arXiv: hep-ph/021075V2, 26 Apr (2002).
[14] F. Gluck, Order-α Radiative Correction to Neutron, Pion and Allowed Nuclear β-Decay, Proceed. of “Quark Mixing CKM-Unitarity”, Sep. (2002), Heidelberg, Germany, arXiv: hep-ph/0312124V1, 9 Dec (2002).
[15] M. Steinhauser, Running leptonic correction to electromagnetic coupling constant, Phys. Lett. B, 429, (1998) 158, hep-ph/9803313.
[16] M. Davier et al, Running electromagnetic coupling at Mz 2, Eur. Physical J., C71 (2011) 1515.
[17] K. A. Olive et al, (Particle Data Group), Chin Phys, C 38, (2014) 090001.
[18] M. Bordag, M. Mohideen, V. M. Mostepenka, New Developments in the Casimir Effects, Phys. Report, 353, (2001) 1-205.
[19] Zoltan Fodor and Christian Hoelbling, Light Hadron Masses from Lattice QCD, arXiv: 1203.4789V2 [hep-lat] 31 March 2012.
[20] S. R. Sharpe, Lattice Quantum Chromodynamics, pdg.lbl.gov/2015/reviews/rpp 2015-rev-qcd.pdf, Sept. 2015.
[21] Andreas S. Kronfeld, Results from the QCD Lagrangian, arXiv:1203.1204 (2012), Annu. Rev. Nucl. Part. Sci. 62, (2012) 265-284.
[22] Zhi-Gang Wang and Shao-Long Wan, Calculation of Quark Condensate through Schwinger-Dyson Equation, arXiv:0212329V1 (2002).
[23] Yi-Bo Yang et. al., Proton Mass Decomposition, EPJ Web. Confc., 175, (2018) 14002.
[24] Y. B. Yang et. Al, Proton Mass Decomposition from QCD Energy Momentum Transfer, Phys. Rev. Lett., 121, (2018) 12001-4.
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  • APA Style

    Khondoker Mafizul Mannan. (2019). Masses of Hadrons by Higgs like Mechanism from Harmonic Oscillator Model in Weak Interactions Mediated by W± Bosons. International Journal of High Energy Physics, 5(2), 63-67. https://doi.org/10.11648/j.ijhep.20180502.11

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    ACS Style

    Khondoker Mafizul Mannan. Masses of Hadrons by Higgs like Mechanism from Harmonic Oscillator Model in Weak Interactions Mediated by W± Bosons. Int. J. High Energy Phys. 2019, 5(2), 63-67. doi: 10.11648/j.ijhep.20180502.11

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    AMA Style

    Khondoker Mafizul Mannan. Masses of Hadrons by Higgs like Mechanism from Harmonic Oscillator Model in Weak Interactions Mediated by W± Bosons. Int J High Energy Phys. 2019;5(2):63-67. doi: 10.11648/j.ijhep.20180502.11

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  • @article{10.11648/j.ijhep.20180502.11,
      author = {Khondoker Mafizul Mannan},
      title = {Masses of Hadrons by Higgs like Mechanism from Harmonic Oscillator Model in Weak Interactions Mediated by W± Bosons},
      journal = {International Journal of High Energy Physics},
      volume = {5},
      number = {2},
      pages = {63-67},
      doi = {10.11648/j.ijhep.20180502.11},
      url = {https://doi.org/10.11648/j.ijhep.20180502.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20180502.11},
      abstract = {When a W± boson is emitted in the weak interaction, the coupling of the particle with the boson puts the particle into simple harmonic oscillation by the transient Coulomb force between the particle and the boson. If the W± boson is displaced by some selected distance, hadrons appear with inertial masses by a Higgs like mechanism due to coupling of the quark field of a particle with the Higgs field via W± boson Masses of meson nonets, baryon octet and decuplet are constructed by using weak coupling constant corrected for screening effect. The mass differences between pairs of particles arising from the breaking of the isospin (Iz) symmetry in the Standard Model (SM) is explained considering a Higgs like mechanism in the harmonic oscillator (HO) model for hadrons. The hypercharge (Y) of the standard model is found to be related to the distance quantum number (N) at which a hadron appears. Zero point energies of hadrons predicted from this model are verifiable from Casimir effect.},
     year = {2019}
    }
    

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    T1  - Masses of Hadrons by Higgs like Mechanism from Harmonic Oscillator Model in Weak Interactions Mediated by W± Bosons
    AU  - Khondoker Mafizul Mannan
    Y1  - 2019/02/14
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    N1  - https://doi.org/10.11648/j.ijhep.20180502.11
    DO  - 10.11648/j.ijhep.20180502.11
    T2  - International Journal of High Energy Physics
    JF  - International Journal of High Energy Physics
    JO  - International Journal of High Energy Physics
    SP  - 63
    EP  - 67
    PB  - Science Publishing Group
    SN  - 2376-7448
    UR  - https://doi.org/10.11648/j.ijhep.20180502.11
    AB  - When a W± boson is emitted in the weak interaction, the coupling of the particle with the boson puts the particle into simple harmonic oscillation by the transient Coulomb force between the particle and the boson. If the W± boson is displaced by some selected distance, hadrons appear with inertial masses by a Higgs like mechanism due to coupling of the quark field of a particle with the Higgs field via W± boson Masses of meson nonets, baryon octet and decuplet are constructed by using weak coupling constant corrected for screening effect. The mass differences between pairs of particles arising from the breaking of the isospin (Iz) symmetry in the Standard Model (SM) is explained considering a Higgs like mechanism in the harmonic oscillator (HO) model for hadrons. The hypercharge (Y) of the standard model is found to be related to the distance quantum number (N) at which a hadron appears. Zero point energies of hadrons predicted from this model are verifiable from Casimir effect.
    VL  - 5
    IS  - 2
    ER  - 

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Author Information
  • Physics Department, Curzon Hall, Dhaka University, Dhaka, Bangladesh

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