Mass formula

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

Temperature Dependence of Nuclear Structure in the Relativistic Mean-Field Theory with a New Parameter Set

Abstract: A new set of relativistic mean-field theory (RMFT) parameters, NL4, ensuring a better description of the average nuclear energy as given by the new Lublin–Strasbourg mass formula, is used in a self-consistent description of 171 spherical even-even nuclei at temperatures 0≤T≤4 MeV. Single-particle level densities for this sample of nuclei are determined by analyzing the data obtained for various temperatures. The average dependence of the single-particle level density on mass number A and isospin is given and compared with previous estimates obtained using the RMFT-NL3, Thomas–Fermi and semiclassical Skyrme SkM* approaches.

Infinite nuclear matter model and a new mass formula for atomic nuclei

Abstract: The ground-state energy of an atomic nucleus with asymmetryβ is considered to be equivalent to the energy of a perfect sphere made up of the infinite nuclear matter of the same asymmetry plus a residual energyη called the local energy,η represents the energy due to shell, deformation, diffuseness and exchange Coulomb effect etc. Using this picture and the generalized Hugenholtz- Van Hove theorem of many-body theory a new mass formula has been developed. Based on this, a mass table containing the mass excesses of 3481 nuclei in the range 18 ⩽A ⩽ 267 has been made. This mass formula is compared with other mass models.

Glueball masses and Regge trajectories for the QCD-inspired potential

Abstract: The bound state of two massive constituent gluons is studied in the potential approach. The relativistic quasi-classical wave equation with the QCD-inspired scalar potential is solved by the quasi-classical method in the complex plane. Glueball masses are calculated with the help of the universal mass formula. The hadron Regge trajectories are given by the complex non-linear function in the whole region of the invariant variable t . The Chew–Frautschi plot of the leading glueball trajectory, αP (t), has the properties of a t-channel Pomeron, which is dual to the glueball states in the s channel. The imaginary part of the Pomeron is also calculated.

Analysis of 14 MeV (n, p) Cross Sections with Pre-Equilibrium Model and Effective Q-Values

Abstract: The measured cross sections of 14 MeV (n, p) reaction for nuclei with mass number larger than 90 are analyzed in terms of the pre-equilibrium exciton model and an effective Q-value, that is derived from a semi-empirical mass formula whose parameters are smooth functions of mass number and are free from fluctuations near closed shells. The deviations from 1.0 of the ratios of experimental to theoretical cross sections calculated using the effective Q-values are markedly reduced as compared with the use of the true Q-values. The use of the effective Q-values also gives a better agreement between the experimental and calculated cross sections in the calculations based on the geometry-dependent hybrid model.

Microscopic mass estimations

Abstract: The quest to build a mass formula which have in it the most relevant microscopic contributions is analyzed. Inspired in the successful Duflo-Zuker mass description, the challenges to describe the shell closures in a more transparent but equally powerful formalism are discussed.