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Mass formula
About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.
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TL;DR: In this paper, the mass formula for the proton was derived, where Mz = 2(Mpα), 1/gc = 92.1 GeV, and α−1 = 137.5 GeV.
Abstract: The mass formulaMz= 2(Mpα)(1/gc = 92.1 GeV is derived, whereMp is the proton mass, χ= 2.79 the proton magnetic moment, and α−1 = 137.
5 citations
TL;DR: In this article, the mass spectra for some of the baryon resonances of the particle data group with three and four star status are obtained, and a unified description of the ground states and excitation spectra of baryons are provided in the framework of a non-relativistic potential model.
Abstract: In this work the mass spectra for some of the baryon resonances of the particle data group with three and four star status are obtained, and a unified description of the ground states and excitation spectra of baryons are provided in the framework of a non-relativistic potential model. For this goal we have analytically solved the radial Schrodinger equation for three identical interacting particles with the anharmonic potential by using the Ansatz method and then we have calculated the baryon resonances spectrum by using the Gursey Radicati mass formula (GR) and with generalized Gursey Radicati mass formula (GGR). The results of our model show that the calculated masses of baryon resonances by using the generalized Gursey Radicati mass formula are found to be in good agreement with the tabulations of the Particle Data Group. The overall good description of the spectrum which we obtain shows that our model can also be used to give a fair description of the energies of the excited multiples up to 3 GeV mass and negative-parity resonance. Moreover, we have shown that our model reproduces the position of the Roper resonance of the nucleon.
5 citations
TL;DR: Second and fourth order mass differences, symmetrical in N and Z, have been calculated and plotted in this article, showing a clear separation of odd-mass and even-mass values, which can be understood if there is an extra pairing term for odd nuclei in the semi-empirical mass formula.
5 citations
TL;DR: In this paper, the spectrum of ground state and excited baryons (N, Δ, Λ, Σ,, and Ω particles) has been investigated by using nonrelativistic quantum mechanics under the Killingbeck plus isotonic oscillator potentials.
Abstract: The spectrum of ground state and excited baryons (N, Δ, Λ, Σ, , and Ω particles) has been investigated by using nonrelativistic quantum mechanics under the Killingbeck plus isotonic oscillator potentials. Using the Jacobi coordinates, anzast method, and generalized Gursey Radicati (GR) mass formula the three-body-wave equation is solved to calculate the different states of the considered baryons. A comparison between our calculations and the available experimental data shows that the position of the Roper resonances of the nucleon, the ground states, and the excited multiplets up to three GeV are in general well reproduced. Also one can conclude that the interaction between the quark constituents of baryon resonances could be described adequately by using the combination of Killingbeck and isotonic oscillator potentials form.
5 citations
TL;DR: In this paper, the authors used a self-gravitating material system to derive a direct derivation of the black hole mass formula in the static and stationary cases without and with electric field.
Abstract: The membrane paradigm approach adopts a timelike surface, stretched out off the null event horizon, to study several important black hole properties. We use this powerful tool to give a direct derivation of the black hole mass formula in the static and stationary cases without and with electric field. Since here the membrane is a self-gravitating material system we go beyond the usual applicability on test particles and test fields of the paradigm.
5 citations