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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, a theory composed of heavy mesons and the instanton of light flavors was derived by applying the collective coordinate quantization method, and a mass formula of heavy baryons was derived.
Abstract: We try to introduce heavy flavors to Sakai-Sugimoto model by regarding higher dimensional components of gauge fields as heavy mesons. Using the Forg\'acs and Manton approach, we obtain a theory composed of heavy mesons and the instanton of light flavors. Applying the collective coordinate quantization method, we derived a mass formula of heavy baryons. In the leading order of $1/{m}_{H}$ expansion (${m}_{H}$ the mass of a heavy quark), we find singlet and doublet states in the heavy quark symmetry (HQS). Also, we obtain the degenerate Roper like and odd parity excitations. By virtue of heavy meson degrees of freedom, our mass formula reproduces the mass ordering of ${\mathrm{\ensuremath{\Sigma}}}_{c}^{*}$ and ${\mathrm{\ensuremath{\Lambda}}}_{c}^{*}$ correctly.
4 citations
4 citations
TL;DR: For the nuclear mass even-odd difference ratio P P P′, there is a sharp contradiction between the Danos-Gillet mass formula and experiment as discussed by the authors, and a new formula is presented in this article, which has forms for the Coulomb-energy, symmetry-energy and pairing energy terms different from the conventional ones.
4 citations
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4 citations
TL;DR: The ground state energy of a superfluid nucleus can reproduce the semi-empirical mass formula of Bethe-Weizsacker as discussed by the authors, but the coefficients are not constant but depend on the deformation of the nuclei.
4 citations