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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: By incorporating with the radial basis function correction, the Weizsacker-Skyrme-type nuclear mass formula was further improved as discussed by the authors, and the root-mean-square (rms) deviation of the binding energies between the theoretical calculations and 2267 experimental masses has significantly reduced from 493 keV to 323 keV.
Abstract: By incorporating with the radial basis function correction, the Weizsacker-Skyrme-type nuclear mass formula was further improved. The root-mean-square (rms) deviation of the binding energies between the theoretical calculations and 2267 experimental masses has been significantly reduced from 493 keV to 323 keV. The alpha-decay energies Q(alpha) obtained from the binding energy by this hybrid formula also become more precise, i.e. the rms deviations for the Z = 74-118 even-even isotopes and for the 46 superheavy nuclei fall from 420 keV to 161 keV and from 501 keV to 230 keV, respectively. With the above calculated Q(alpha) values as inputs, the calculated alpha-decay half-lives for the even-even (Z = 74-118) nuclei agree with the experimental ones very well, especially for the superheavy nuclei. Thus the further improved Weizsacker-Skyrme-type nuclear mass formula is useful for predicting nuclear properties associated with mass evaluation systematically.
8 citations
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TL;DR: The binding energies of di-hadronic states have been calculated assuming a'molecular' interaction provided by the asymptotic expression of the residual confined gluon exchange potential between the component hadrons in the system.
Abstract: The binding energies of di-hadronic states have been calculated assuming a 'molecular' interaction provided by the asymptotic expression of the residual confined gluon exchange potential between the component hadrons in the system. Meson–meson, meson–baryon and baryon–baryon states have been studied in detail and a mass formula has been used to calculate total mass of the 'molecules'. The calculated data are found to match available experimental values. The calculations allow us to identify exotic states such as f0(0.982), h1(1.17), f2(2.01), etc as di-hadronic molecules.
8 citations
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TL;DR: A search for stable quark nuggets in helium and argon using a high sensitivity mass spectrometer was conducted in this article, which was guided by a mass formula for strange quarks nuggets which suggested that stable strange helium might exist at a mass around 65 u. The chemical similarity of such ''strangelets'' to noble gas atoms and the gravitational unboundedness of normal helium result in a large enhancement in the sensitivity of such a search.
Abstract: A search for stable strange quark nuggets has been conducted in helium and argon using a high sensitivity mass spectrometer. The search was guided by a mass formula for strange quark nuggets which suggested that stable strange helium might exist at a mass around 65 u. The chemical similarity of such ``strangelets'' to noble gas atoms and the gravitational unboundedness of normal helium result in a large enhancement in the sensitivity of such a search. An abundance limit of no more than $2 \cdot 10^{-11}$ strangelets per normal nucleus is imposed by our search over a mass region from 42 to 82 u, with much more stringent limits at most (non-integer) masses.
8 citations
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TL;DR: In this article, the authors organize some known mass formulas arising from a definite central division algebra over a global field and deduce some new ones, which is a generalization of the work in this paper.
8 citations
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14 Sep 2004
TL;DR: The mass-loaded generalization of the Chew-Frautschi formula as discussed by the authors provides an essential tool for quantifying the mass differences of diquarks with different quantum numbers.
Abstract: It is plausible that several of the most profound aspects of low-energy QCD dynamics are connected to diquark correlations, including: paucity of exotics (which is the foundation of the quark model and of traditional nuclear physics), similarity of mesons and baryons, color superconductivity at high density, hyperfine splittings, $\Delta I = 1/2$ rule, and some striking features of structure and fragmentation functions. After a brief overview of these issues, I discuss how diquarks can be studied in isolation, both phenomenologically and numerically, and present approximate mass differences for diquarks with different quantum numbers. The mass-loaded generalization of the Chew-Frautschi formula provides an essential tool.
8 citations