Masses of Up and Down Quarks
- 1 Department of Radiation Oncology, University of Washington, Seattle, USA
Abstract
Quarks are one of the most abundant and stable fundamental particles of the universe. However, measuring quark masses is challenging, and the use of quantum chromodynamics in solving for the masses of up and down quarks is a difficult and tedious task, with no simple mathematical theory. This manuscript uses a combination of the chemical equation for down quark decay as well as time-independent Schrödinger equation to formulate a theoretical calculation for the values of the masses of up and down quarks as a function of the masses of neutron, proton, electron, and binding energy. The calculated values for up and down quarks yield 2.058028 MeV and 4.793593 MeV respectively.
- Close, F.E., Roberts, R.G. and Ross, G.G. (1983) The Effect of Confinement Size on Nuclear Structure Functions. Physics Letters B , 129, 346-350. https://doi.org/10.1016/0370-2693(83)90679-2
- Geesaman, D.F., Saito, K. and Thomas, A.W. (1995) The Nuclear EMC Effect. Annual Review of Nuclear and Particle Science , 45, 337-390. https://doi.org/10.1146/annurev.ns.45.120195.002005
- Norton, P.R. (2003) The EMC Effect. Reports on Progress in Physics , 66, 1253-1297. https://doi.org/10.1088/0034-4885/66/8/201
- Jones, L.W. (1977) A Review of Quark Search Experiments. Reviews of Modern Physics , 49, 717-752. https://doi.org/10.1103/revmodphys.49.717
- Ryder, L.H. (1996) Quantum Field Theory. 2nd Edition, Cambridge University Press. https://doi.org/10.1017/cbo9780511813900
- Cottingham, W.N. and Greenwood, D.A. (2007) An Introduction to the Standard Model of Particle Physics. 2nd Edition, Cambridge University Press. https://doi.org/10.1017/cbo9780511791406
- Cunningham, P.J. (2019) High Energy Physics. Ed-Tech Press.
- Mohr, P.J., Newell, D.B., Taylor, B.N. and Tiesinga, E. (2025) CODATA Recommended Values of the Fundamental Physical Constants: 2022. Reviews of Modern Physics , 97, Article ID: 025002. https://doi.org/10.1103/revmodphys.97.025002
- Navas, S., et al . (Particle Data Group) (2024) Quark Masses. Physics Review D , 110.
- Mongan, T.R. (2024) Standard Model Fermion Masses and Charges from Holographic Analysis. Journal of Modern Physics , 15, 796-803. https://doi.org/10.4236/jmp.2024.156035
- Navas, S., et al . (2024) Review of Particle Physics. Physical Review D , 110, Article ID: 030001. https://journals.aps.org/prd/abstract/10.1103/PhysRevD.110.030001
- Aoki, S., Aoki, Y., Bečirević, D., Bernard, C., Blum, T., Colangelo, G., et al . (2017) Review of Lattice Results Concerning Low-Energy Particle Physics. The European Physical Journal C , 77, Article No. 112. https://doi.org/10.1140/epjc/s10052-016-4509-7
- Cichy, K. (2020) What Can We Learn about Quarks, Gluons and Proton’s Internal Structure from Supercomputer Simulations? Acta Physica Polonica B Proceedings Supplement , 13, 673. https://doi.org/10.5506/aphyspolbsupp.13.673
- Patrignani, C., et al . (2017) Review of Particle Physics. Chinese Physics C , 40, Article ID: 100001.