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On the Role of Up & Down Quarks in Understanding Nuclear Binding Energy (Part I)

U. V. S. Seshavatharam, S. Lakshminarayana


In a paper published in 2010, the authors proposed that, up quark mass is mu = 4.4 MeV/c2 and down quark mass is md = 9.473 MeV/c2 and their mass ratio is 0.4645. By considering the harmonic mean of up and down quarks, a new mass unit of 6.0 MeV/c2 can be defined. It is suggested that, when A > Astable, nuclear binding energy is close to k(A + Z) 6.0 MeV where k = 0.74 to 1 and seems to be connected with Z. When A < Astable nuclear binding energy is close to k(A + Z - δ) 6.0 MeV where δ is a number which seems to be connected with (Z, A, Astable).

Part I of this two-part article includes: 1. Introduction, 2. About the semi empirical mass formula, 3. Estimation of stable mass number with Proton number, 4. Nuclear binding energy with up and down quark masses, and 5. Discussion.


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