In this paper, we show a new theoretical procedure for calculating the nucleonic mass values. We develop this procedure on the geometric representation of (u, d) quarks, these seen as golden structures of coupled quantum oscillators (Aureum Geometric Model or AGM). Using AGM, we also build the geometric structures of nucleons (p, n), determining their structure equations and spins. Thank AGM, coherent to QCD, new aspects of the Quantum Mechanics emerge, opening to anew descriptive paradigm in Particle Physics.
References
[1]
Kronfeld, A.S. and Quigg, C. (2010) Resource Letter QCD-1: Quantum Chromodynamics. American Journal of Physics, 78, 1081. https://doi.org/10.1119/1.3454865
[2]
Udem, T. (2018) Quantum Electrodynamics and the Proton Size. Nature Physics, 14, 632. https://doi.org/10.1038/s41567-018-0166-0
[3]
Tanabashi, M., et al. (2018) Review of Particle Physics. Physical Review D, 98, 030001.
[4]
Walker-Loud, A. (2018) Dissecting the Mass of Proton. APS Physics, 11, 118. https://physics.aps.org/articles/v11/118
[5]
Yang, Y.-B., Liang, J., Bi, Y.-J., Chen, Y., Draper, T., Liu, K.-F. and Liu, Z. (2018) Proton Mass Decomposition from the QCD Energy Momentum Tensor. Physical Review Letters, 121, Article ID: 212001. https://doi.org/10.1103/PhysRevLett.121.212001
[6]
Biddle, J., Charvetto, J., Kamleh, W., Leinweber, D., et al. (2019) Publicising Lattice Field Theory through Visualisation. arXiv:1903.08308v1. https://arxiv.org/pdf/1903.08308.pdf
[7]
Guido, G. (2019) The Bare and Dressed Masses of Quarks in Pions via the of Quarks’ Geometric Model. Journal of High Energy Physics, Gravitation and Cosmology, 5, 1123-1149. https://doi.org/10.4236/jhepgc.2019.54065
[8]
Guido, G. (2020) The Theoretical Value of Mass of the Light h-Meson via the of Quarks’ Geometric Model. Journal of High Energy Physics, Gravitation and Cosmology, 6, 368-387. https://doi.org/10.4236/jhepgc.2020.63030
[9]
Guido, G. (2020) The Theoretical Spectrum of Mass of the Light Mesons without Strangeness via the Quarks’ Geometric Model. Journal of High Energy Physics, Gravitation and Cosmology, 6, 388-415. https://doi.org/10.4236/jhepgc.2020.63031
[10]
Mohler, D. (2017) Recent Results on the Meson and Baryon Spectrum from Lattice QCD. EPJ Web of Conferences, 137, 05018. https://doi.org/10.1051/epjconf/201713705018
[11]
Dürr, S., Fodor, Z., Frison, J., Hoelbling, C., Hoffmann, R., Katz, S.D., et al. (2008) Ab Initio Determination of Light Hadron Masses. Science, 322, 1224-1227. https://doi.org/10.1126/science.1163233
[12]
Guido, G. (2017) Regarding the Structure of Quarks and Hadrons. Hadronic Journal, 40, 187-219.
[13]
Guido, G. (2017) About Structure of Quarks. Hadronic Journal, 40, 221-253.
[14]
Bazavov, A., Toussaint, D., Bernard, C., Laiho, J., DeTar, C., Levkova, L., et al., (2010) Nonperturbative QCD Simulations with 2+1 Flavors of Improved Staggered Quarks. Reviews of Modern Physics, 82, 1349. https://doi.org/10.1103/RevModPhys.82.1349
[15]
Bazavov, A., Bernard, C., Brambilla, N., Brown, N., DeTar, C., El-Khadra, A.X., et al. (2018) Up-, Down-, Strange-, Charm-, and Bottom-Quark Masses from Four-Flavor Lattice QCD. Physical Review D, 98, 054517. https://doi.org/10.1103/PhysRevD.98.054517
[16]
Ishikawa, T., Aoki, S., Fukugita, M., Hashimoto, S., Ishikawa, K.-I., Ishizuka, N., et al. (2008) Light Quark Masses from Unquenched Lattice QCD. Physical Review D, 78, 011502. https://doi.org/10.1103/PhysRevD.78.011502
[17]
Kuhn, S.E., Chen, J.-P. and Leader, E. (2009) Spin Structure of the Nucleon—Status and Recent Results. Progress in Particle and Nuclear Physics, 63, 1-50. https://doi.org/10.1016/j.ppnp.2009.02.001
[18]
Bradamante, F. (2008) COMPASS and HERMES Contributions to Our Understanding of the Nucleon Spin. Progress in Particle and Nuclear Physics, 61, 229-237. https://doi.org/10.1016/j.ppnp.2007.12.046
[19]
Guido, G. (2012) The Substructure of a Quantum Oscillator Field. https://arxiv.org/pdf/1208.0948
[20]
Guido, G. (2014) The Substructure of a Quantum Oscillator Field. Hadronic Journal, 37, 83.
[21]
Dokshitzer, Y.L., Khoze, V.A. and Troyan, S.I. (1991) On the Concept of Local Parton-Hadron Duality. Journal of Physics G: Nuclear and Particle Physics, 17, 1585. https://doi.org/10.1088/0954-3899/17/10/017
[22]
Abazov, V.M., Abbott, B., Abolins, M., Acharya, B.S., Adams, M., Adams, T., et al. (2008) Measurement of the Inclusive Jet Cross-Section in pp Collisions at (s)1/2 = 1.96 TeV. Physical Review Letters, 101, Article ID: 062001. arXiv:0802.2400v3[hep-ex]
[23]
Guido, G. (2019) The Origin of the Color Charge into Quarks. Journal of High Energy Physics, Gravitation and Cosmology, 5, 1-34. https://doi.org/10.4236/jhepgc.2019.51001
