Mass formula

About: Mass formula is a research topic. Over the lifetime, 1248 publications have been published within this topic receiving 22043 citations.

Three-Body Leptonic Decays of K-Mesons and Hyperons

Abstract: A method of treating weak interaction processes involving composite particles is for­ mulated on the basis of the theory of bound states of quantum field theory. The method is applied to the analysis of the decay K+__,no+ft.v. And it is shown that under a possible set of assumptions ~-value of this decay must lie between -1 and + 1 irrespective of the structure of n and K-meson. Then the method is applied to the leptonic decays of hyperons and it is shown that if we take K-baryon model for hyperons there is a possibility of understanding the smallness of the decay rates compared to the ones expected from the universal coupling theory. ~ l. · Introduction At the time of the proposal of composite model of elementary particles by S. Sakata, it was pointed out that present status of the theory of elementary particles should be compared to the early days of the theory of atomic nuclei.l) After that, many investigations have been done along this line of thought. In 1956, K. Matumotdl proposed the mass formula of composite particles, which corresponds to Weizsacker's empirical mass formula for nucleus, and Z. Maki 3 l examined the possibility of the formation of n-meson with a nucleon and an anti­ nucleon from field theoretical viewpoints, which corresponds to the deuteron problem in the nuclear theory. In 1959, Ikeda, Ogawa and Ohnuki 4 l have deve­ loped group theoretical investigations based on the assumption of the symmetry among a proton, a neutron and a A-particle in the strong interaction, 5 l which corresponds to the group theoretical investigations of nucleus. Furthermore, the analysis of various weak processes have been done from the viewpoints of composite particles by Z. Maki, Y. Ohnuki, M. Nakagawa and other authors. 6 l Some of these investigations, especially the search for mass formula and group theoretical investigations based on some symmetries were inherited by a great many authors, 7 l although from somewhat different viewpoints. But if we take more seriously the above mentioned analogy between present status of the theory of elementary particles and early days of the nuclear theory, we should remember the various aspects of the developments of the nuclear theory. When we review the developments of the nuclear theory, we will im­ mediately be aware of the roles played by quantum mechanics as the dynamics

The Naive Quartet Quark Model and the ψ's

Abstract: The naive quartet quark model approach to the 4>-particle is developed. Narrow decay widths of the ct>'s are explained on the basis of the Okubo-Zweig-h;mka rule. SU(4) mass formula results in a scaling relation iJ~~=f(iJ~). Small iJ~. required by the narrow width of 4>(3.1) is consistent with the mass formula. The relatively large F(c/>(3.7) ~4> (3.1) +2rr) is a result of large QQ£-coupling which also explains the dominance of p+2rr decay mode of p' (1.6) decay. The breaking of the 0-Z-I rule through f is about 8% in amplitude. No sensible difference between two assignments for 4>(3.7) .(orbital and radial excitations) is found.

Neutron and proton drip lines using the

Abstract: Proton and neutron separation energies are calculated using the extended Bethe{ Weizsacker mass formula. This modied Bethe{Weizsacker mass formula describes minutely the positions of all the old and the new magic numbers. It accounts for the disappearance of some traditional magic numbers for neutrons and provides extra sta- bility for some new neutron numbers. The neutron and proton drip lines are predicted using this extended Bethe{Weizsacker mass formula. The implications of the proton drip line on the astrophysical rp-process and of the neutron drip line on the astrophysical r-process are discussed.

Mass defect of 13B and the isobaric mass equation for the A=13 quartet

Abstract: The Q value of the reaction 11B(t, p)13B has been found to be -233.36+or-1.00 keV, leading to an improved value of the mass defect of 16562.17+or-1.04 keV. The isobaric multiplet mass equation is testing for the A=13 quartet.

Higgs Mechanism, Mass Formulas of Hadrons, Dark Matter and Fractal Model of Particle

Abstract: Based on the Higgs equation, whose soliton solution is substituted into the Dirac coupled equation with Higgs field, in the approximation of non-relativity we derive the Morse potential, whose energy spectrum is the GMO mass formula and its modified supersymmetric Higgsino equation possess the nonzero fundamental states, and relate to quantum distributions, repulsive force and dark matter. Based on the extensive quark- preon-prepreon model, the fractal model of particle is proposed. When it is simplified, two fractal dimensions 1.4311337… and 2.0329171… are obtained. This model correlates to Brownian motion, renormalization, many shell model, complex dimension and various scalings, etc.