Authors: Ikechukwu Iloh Udema
The root mean square mass radii of the proton are produced by means of the extraction of the effective mass from different kinds of photoproduction and, strangely, center of mass energy without overt exploration of the equation (R(m)^2 = 12/m(eff)^2) that ought to contain the missing fundamental constant. Thus, by exploring theoretical and computational means, the study’s goal is to address frameworks’ and related methods’ congruence with the outcomes that could be obtained from them with the following two of four objectives. 1) To derive an equation defining the fundamental constant missing from the controverted equation in the literature; 2) to justify the argument that the missing fundamental constant obscured the relationship, if at all, between QCD and the derived equation, etc. Some of the computed values of root mean square mass radius (R(m)) of the proton based on 1.19518 exp. (-25)/m(eff) (From Eq. (13) are 0.644869 fm (its effective mass (m(eff)) is equal to 1.06 GeV); 0.83361 fm (its m(eff) is equal 0.82 GeV); 0.551246 fm (its m(eff) is equal to 1.24 GeV). If the derived equation R(m)^2 =12ħ^2c^2/m(eff)^2 bears any iota of relevance to the QCD framework, then there was no basis whatsoever for the omission of the fundamental constant, ħc or ħ^2c^2. Thus, the omission, until proved otherwise, only served to obscure the fact that the equation does not have any bearing on the QCD framework. A definite value of Rm is 1.10168 fm. While m(eff) showed an inverse relationship based on a power law with rest mass, future study may focus on the theoretical determination of the former. PACS Number: 40, 12.38, 12.10.KtKeywords: Classical framework, QCD framework, mass-energy equivalence, root mean square mass radius, mass, proton.
Comments: 18 Pages.
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