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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 first quantum-mechanical correction to the mass of a static soliton in a weakly-coupled two-dimensional scalar field theory is presented.
67 citations
TL;DR: In this article, the relativistic mean field theory for nucleons and the mass formula for nuclei with the proton number up to 1000 were used for core-collapse simulations of massive stars.
Abstract: We construct new equations of state for baryons at subnuclear densities for the use in core-collapse simulations of massive stars. The abundance of various nuclei is obtained together with thermodynamic quantities. A model free energy is constructed, based on the relativistic mean field theory for nucleons and the mass formula for nuclei with the proton number up to ~1000. The formulation is an extension of the previous model, in which we adopted the liquid drop model to all nuclei under the nuclear statistical equilibrium. We reformulate the new liquid drop model so that the temperature dependences of bulk energies could be taken into account. Furthermore, we extend the region in the nuclear chart, in which shell effects are included, by using theoretical mass data in addition to experimental ones. We also adopt a quantum-theoretical mass evaluation of light nuclei, which incorporates the Pauli- and self-energy shifts that are not included in the ordinary liquid drop model. The pasta phases for heavy nuclei are taken into account in the same way as in the previous model. We find that the abundances of heavy nuclei are modified by the shell effects of nuclei and temperature dependence of bulk energies. These changes may have an important effect on the rates of electron captures and coherent neutrino scatterings on nuclei in supernova cores. The abundances of light nuclei are also modified by the new mass evaluation, which may affect the heating and cooling rates of supernova cores and shocked envelopes.
67 citations
TL;DR: In this paper, a semi-empirical shell model mass equation applicable to superheavy elements up to $Z=126$ is presented and shown to have a high predictive power.
Abstract: A semiempirical shell model mass equation applicable to superheavy elements up to $Z=126$ is presented and shown to have a high predictive power. The equation is applied to the recently discovered superheavy nuclei ${}^{293}118$ and ${}^{289}114$ and their decay products.
65 citations
TL;DR: In this article, the Penning trap mass spectrometer ISOLTRAP relative uncertainties of 60 X 10 − 8 (δm = 18 keV) and 14 × 10 - 8 (γ = 044 keV), respectively, have been achieved.
Abstract: Masses of the short-lived radionuclides 3 2 Ar (T 1 / 2 = 98 ms) and 3 3 Ar (T 1 / 2 = 173 ms) have been determined with the Penning trap mass spectrometer ISOLTRAP Relative uncertainties of 60 X 10 - 8 (δm = 18 keV) and 14 × 10 - 8 (δm = 044 keV), respectively, have been achieved At present, these new mass data serve as the most stringent test of the quadratic form of the isobaric-multiplet mass equation Furthermore, the improved accuracy for the mass of 3 2 Ar will allow for a better constraint on scalar contributions to the weak interaction New mass values have also been measured for 4 4 Ar and 4 5 Ar, and a 20σ deviation for 4 4 Ar from the literature value was found and interpreted
65 citations
TL;DR: In this article, an atomic mass formula consisting of a gross part, an average even-odd part, and an empirical shell part is presented, where the gross part is, apart from a small atomic term, taken to be the sum of nucleon rest masses, Coulomb energies, and a polynomial in A 1 3 and |N − Z| A.
65 citations