Quantum Gravity and String Theory

   

Nucleus in Strong Nuclear Gravity

Authors: U V Satya Seshavatharam, S Lakshminarayana

Based on strong nuclear gravity, $N$ being the Avogadro number and $\left(\frac{c^4}{N^2G}\right)$ being the weak force magnitude, electron`s gravitational mass generator $= X_{E} \cong m_{e} c^{2} \div \sqrt{\frac{e^{2} }{4\pi \varepsilon _{0} } \left(\frac{c^4}{N^2G}\right) } \cong 295.0606338$. Weak coupling angle is $\sin \theta _{W} \cong \frac{1}{\alpha X_{E} } \cong 0.464433353\cong \frac{{\rm Up}\; {\rm quark}\; {\rm mass}}{{\rm Down}\; {\rm quark}\; {\rm mass}} $. $X_{S} \cong \ln \left(X_{E}^{2} \sqrt{\alpha } \right)\cong 8.91424\cong \frac{1}{\alpha _{s} } $ can be considered as `inverse of the strong coupling constant'.The proton-nucleon stability relation is $A_{S} \cong 2Z+\frac{Z^{2} }{S_{f} }$ where $S_{f} \cong X_{E} -\frac{1}{\alpha } -1\cong 157.0246441$. With reference to proton rest energy, semi empirical mass formula coulombic energy constant is $E_{c} \cong \frac{\alpha }{X_{S} } \cdot m_{p} c^{2} \cong \alpha \cdot \alpha _{s} \cdot m_{p} c^{2} \cong {\rm 0}.7681\; MeV.$ Pairing energy constant is $E_{p} \cong \frac{m_{p} c^{2} +m_{n} c^{2} }{S_{f} } \cong 11.959\; {\rm M}eV$ and asymmetry energy constant is $E_{a} \cong 2E_{p} \cong 23.918\; {\rm M}eV$. It is also noticed that, $\frac{E_{a} }{E_{v} } \cong 1+\sin \theta _{W} $ and $\frac{E_{a} }{E_{s} } \cong 1+\mathop{\sin }\nolimits^{2} \theta _{W} $. Thus $E_{v} \cong 16.332$ MeV and $E_{s} \cong 19.674\; {\rm M}eV.$ Nuclear binding energy can be fitted with 2 terms. In scattering experiments minimum distance between electron and the nucleus is $R_0 \cong \left(\frac{\hbar c}{\left(N.G\right)m_e^2}\right)^2 \frac{2Gm_e}{c^2}.$

Comments: 2 Pages. DAE Symposium on Nuclear Physics, December 26-30, 2011, India.

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[v1] 2011-12-08 01:12:56

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