Mass formula

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

The r-process in supernovae: impact of new microscopic mass formulas

Abstract: The astrophysical origin of r-process nuclei is a long-standing mystery. Although some astrophysical scenarios show some promise, many uncertainties involved in both the astrophysical conditions and in the nuclear properties far from the β-stability have inhibited us from understanding the nature of the r-process. The purpose of the present paper is to examine the effects of the newly derived microscopic Hartree-Fock-Bogoliubov (HFB) mass formulae on r-process nucleosynthesis and analyze to what extent a solar-like r-abundance distribution can be obtained. The r-process calculations with the HFB-2 mass formula are performed, adopting the parameterized model of the prompt explosion from a collapsing O-Ne-Mg core for the physical conditions, and compared with the results obtained with the HFB-7 and droplet-type mass formulae. Because of its weak shell effect at the neutron magic numbers in the neutron-rich region, the microscopic mass formulae (HFB-2 and HFB-7) give rise to a spread of the abundance distribution in the vicinity of the r-process peaks (A = 130 and 195). While this effect resolves the large underproduction at A ≈ 115 and 140 obtained with droplet-type mass formulae, large deviations compared to the solar pattern are found near the third r-process peak. It is shown that a solar-like r-process pattern can be obtained if the dynamical timescales of the outgoing mass trajectories are increased by a factor of about 2-3, or if the β-decay rates are systematically increased by the same factor.

Nuclear binding energies from a Bogomol'nyi-Prasad-Sommerfield Skyrme model

Abstract: Recently, within the space of generalized Skyrme models, a submodel with a Bogomol'nyi-Prasad-Sommerfield (BPS) bound was identified that reproduces some bulk properties of nuclear matter already on a classical level and, as such, constitutes a promising field theory candidate for the detailed and reliable description of nuclei and hadrons. Here we extend and further develop these investigations by applying the model to the calculation of nuclear binding energies. Concretely, we calculate these binding energies by including the classical soliton energies, the excitation energies from the collective coordinate quantization of spin and isospin, the electrostatic Coulomb energies, and a small explicit isospin symmetry breaking, which accounts for the mass difference between proton and neutron. The integrability properties of the BPS Skyrme model allow, in fact, for an analytical calculation of all contributions, which may then be compared with the semi-empirical mass formula. We find that for heavier nuclei, where the model is expected to be more accurate on theoretical grounds, the resulting binding energies are already in excellent agreement with their physical values. This result provides further strong evidence for the viability of the BPS Skyrme model as a distinguished starting point and lowest-order approximation for the detailed quantitative investigation of nuclear and hadron physics. © 2013 American Physical Society.

Monopoles in quantum corrected N=2 superYang-Mills theory

Abstract: We study the low-energy effective Hamiltonian of N=2 super Yang-Mills theories. We find that the BPS equations are unchanged outside a quantum core where higher dimension contributions are expected to be important. We find two quantum generalizations of the BPS soliton. The leading higher-derivative correction to the effective action is shown not to contribute to the BPS mass formula.