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Background: The literature contains numerous values of nucleon charge radii with greater interest in proton. The mean square negative radii are reported for the neutron, the scientific relevance notwithstanding. Only in very few instances was the mass radius of the nucleon investigated.
Methods: Theoretical and computational methods.
Objectives: The objectives of this research are to derive, based mainly on classical model, the equation of the radii of nucleons and other subatomic particles heavier than the nucleons and determine by calculation based on the equation the radii of such particles, and elucidate why results may be different from literature values.
Results and Discussion: The results showed expectedly that the mass radii of nucleons and heavier subatomic particles are longer than what seemed to be the preferred proton charge radius. The lengths of the calculated radii increase with increase in rest mass of the subatomic particles whose mass must be ³ the mass of any nucleon
Conclusion: The equation of the mass radius of any nucleon and heavier subatomic particles was derived. Expectedly, the radii differ on the basis of differences in masses of the particles. The difference in mass radii as calculated in this research and reported charge radii in the literature may be due to electron capture leading to greater number of elastic collision with resulting neutrons. Two particles of widely different mass possessing different charge must interact attractively or repulsively if they possess similar charges. Otherwise the deflection of beta–rays and similar particles in an electromagnetic field would be impossible.
Gentile TR, Crawford CB. Neutron charge radius and the neutron form factor. Phys. Rev. C. 2011;83:1–6.
Mills RL. The fallacy of Feynman’s and related arguments on the stability of the hydrogen atom according to quantum mechanics. Annales de la Fondation Louis de Broglie. 2005;30(2):129–149.
Lund M, Jönsson B. Electrostatic interactions between proteins in a salt solution - A Monte Carlo simulation study. In Electrostatic interactions in and between biomolecules. Lund University Ph.D; 2006; Ph.D Thesis.
Udema II. Effect of salts and organic osmolytes is due to conservative forces.Asian J. Appl. Chem. Res. 2020; 5(1):1–17.
Pohl R, Antognini A, Nez F, Amaro FD, Biraben F, Cardoso JMR, et al. The size of the proton. Nature. 2010;466:213–216.
Carson CE. The proton radius puzzle. Prog. Part. Nucl. Phys. 2015;82:59–77.
Sick I. Proton charge radius from electron scattering. Atoms. 2018;6(2):2–24.
Kelkar NG, Mart T, Nowakowski M. Extraction of the proton charge radius from experiments. Makara J. Sci. 2016;20(3):1–10.
Xiong W, Gasparian A, Gao H, Dutta D, Khandaker M, Liyanage N, et al A small proton charge radius from electron – proton scattering experiment. Nature. 2019;575(7781):147–170.
Wiefeldt FE, Huber M, Black TC, Kaiser H, Arif M, Jacobson DL, Werner SA. Measuring the neutron’s mean square charge radius using interferometry. Physica B. Condens. Matter. 2006;385(2): 1374–1376.
Hare HG, Papini G. Mass radius of the nucleon. Canadian J. Phys. 1972;50: 1163–1168.
Sha YY, Coulomb’s law stand to the World of elementary particles in the way that Newton’s laws of classical mechanics stand to the macroscopic World” Am. J. Biomed. Sc & Res. 2019;1–2.
Pohl R, Nez F, Fernandes LMP, Amaro FD, Biraben F, Cardoso JMR, Covita DS, Dax A. Dhawan S, Diepold M, et al. Laser spectroscopy of muonic deuterium. Science. 2016;353:669–673.
Peset C, Pineda A. The Lamb shift in muonic hydrogen and the proton radius from effective field theories. Eur. Phys. J. A. 2015;51(156):arXiv.
Byrne J. The mean square charge radius of the neutron. Neutron News. 1994;5(4): 15–17.
Mohr PJ, Taylor BN, Newel DB. CODATA recommended values of the fundamental physical constants-2010. J. Phys. Chem. Ref. Data. 2012;41(4):1–84.
Utama R, Chen W-C, Piekarewicz J. Nuclear charge radii: Density functional theory meets Bayesian neutral networks. J. Phys. G. Nucl. Part. Phys. 2016;43(11): 1–15.
Ivanov D, Kolikov K. Short-range action and long-range action of the electrostatic forces within atomic nuclei Nat. Sci. 2013; 4:508–513.
Danal N, Parajuli N. Outlines of Rutherford’s alpha–particles scattering experiment. J. St. Xavier’s Phys / Council. 2017–2018;1–3.
Udema II. Renaissance of Bohr's model via derived alternative equation. Am. J. Mod. Phys. 2017;6(2):23–31.
Udema II. Fine structure constant is related to effective nuclear charge and Bohr’s radius for any atom. Asian J. Phys. Chem. Sci. 2017;3(4):1–8.
Udema II. Revisiting Bohr’s theory via a relationship between magnetic constant and Bohr radius of any element. Asian J. Phys. Chem. Sci. 2018;6(1):1–11.