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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, an extension of the Weizsacker mass formula is discussed, in which the pairing term is replaced with a Majorana term, which accounts for the spin-isospin symmetry of nuclei.
Abstract: An extension of the Weizsacker mass formula is discussed, in which the pairing term is replaced with a Majorana term. The Majorana term accounts for the spin-isospin symmetry of nuclei, which is related to Wigner’s SU(4) symmetry. This scheme is generalised to the simultaneous description of normal (i.e. non-strange) nuclei and Λ hypernuclei by extending the SU(4) symmetry to the SU(6) spin-flavour symmetry.
1 citations
01 Apr 2016
TL;DR: In this article, the authors discuss some of the shortcomings of using non-relativistic models and the advantages of using relativistic ones when applying them to describe hadronic matter.
Abstract: Hadron physics stands somewhere in the diffuse intersection between nuclear and particle physics and relies largely on the use of models. Historically, around 1930, the first nuclear physics models known as the liquid drop model and the semi-empirical mass formula established the grounds for the study of nuclei properties and nuclear structure. These two models are parameter dependent. Nowadays, around 500 hundred non-relativistic (Skyrme-type) and relativistic models are available in the literature and largely used and the vast majority are parameter dependent models. In this review I discuss some of the shortcomings of using non-relativistic models and the advantages of using relativistic ones when applying them to describe hadronic matter. I also show possible applications of relativistic models to physical situations that cover part of the QCD phase diagram: I mention how the description of compact objects can be done, how heavy-ion collisions can be investigated and particle fractions obtained and show the relation between liquid-gas phase transitions and the pasta phase.
1 citations
TL;DR: In this article, a method based on Killing symmetries and Komar conserved charges was proposed to generalize the Smarr mass formula for arbitrary dimensional charged, rotating spacetime.
Abstract: We discuss a method based on Killing symmetries and Komar conserved charges to generalize Smarr mass formula for arbitrary dimensional charged, rotating spacetime. We derive a local identity defined at the event horizon of the rotating black hole in Einstein-Maxwell gravity which reproduces the generalized Smarr formula as a by-product. The advantages of this new identity are the following: (i) unlike Smarr formula, which is non-local, this identity is purely local and hence a switchover between horizon and infinity is unnecessary and (ii) the new identity could be mapped with the recent investigations on emergent gravity.
1 citations
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TL;DR: In this paper, the nonlinear Lorentz transformations between coordinate systems which are mutually in a constant symmetrical accelerated motion were determined and the mass formula was derived by the same method as the Thomas precession formula by author.
Abstract: We determine nonlinear Lorentz transformations between coordinate systems which are mutually in a constant symmetrical accelerated motion. The maximal acceleration as an analogue of the maximal velocity in special relativity follows from the nonlinear Lorentz group of transformtion. The mass formula was derived by the same method as the Thomas precession formula by author. It can play crucial role in particle physics and cosmology
1 citations
TL;DR: The problem of mass corrections to the fine structure formula for a spin 0-spin 1/2 atom with arbitrary masses of the bound particles is examined in this article, where an approximate, purely electrodynamic, Bethe-Salpeter equation is derived which gives correctly all terms of order α 2 ryd in the binding energy.
Abstract: The problem of mass corrections to the fine structure formula is examined for a spin 0-spin 1/2 atom with arbitrary masses of the bound particles. An approximate, purely electrodynamic, Bethe-Salpeter equation is discussed in this case, and from it a three-dimensional equation is derived which gives correctly all terms of order α2 ryd in the binding energy. It is found that, except forS-waves, the reduced mass fine structure formula is exactly true for the spinless particle, while for the spin-1/2 particle it is modified by terms of second order in the mass ratio.
1 citations