Mass formula

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

Fermion self-masses and Lehmann’s spectral representation

Abstract: Lehmann ’s theorem is extended to the case of the spinor self-coupling. In a simplified version of the new theorem the usual self-consistent mass equation holds.

Towards a Skyrme–Hartree–Fock–Bogolyubov Mass Formula

Abstract: In this work, we explain our astrophysical motivations for deriving a mass formula based on HFB calculations with a Skyrme interaction. We give an overview of existing mass formulae and present briefly the last HF+BCS mass formula [1]. The Skyrme force MSk7 [1] is considered in the study of shell effects at N = 82, in the neutron-rich region far from stability, within the HFB and HF+BCS theories, and compared with results obtained using the forces SkP δ and SkP δρ [2].

SU(3)-subsector approach to hadron properties and the classification problem

Abstract: I review the essential features and main applications of the SU(3)-subsector approach to hadron properties, developed in the last two years by Dattoli, Prosperi, Camiz, and myself. Such a formalism is based on the three-quark sectors of SU(N), which are obtained by picking out three of the N quarks in all possible ways. The sectors can be divided in four classes, according to the charges of the quarks constituting them, and an SU(3) algebra can be defined for any class of sectors, by introducing generalized operators (like hypercharge and isospin) induced by the SU(N) generators. General formulae are derived for baryon magnetic moments, both in the case of an exact symmetry and of a partially broken one. Mass sum rules for hadrons are discussed by means of a generalized Gell-Mann-Okubo mass formula. Lastly, it is stressed that the effectiveness of the formalism is better understood if one looks on SU(N) as a classification group for hadrons, rather than concerning hadron structure. In this connection, a till open legacy of Heisenberg about quark hypothesis is singled out.

About Some Regge-Like Relations for (stable) Black Holes

Abstract: We associated, in a classical formulation of "strong gravity", hadron constituents with suitable stationary, axisymmetric solutions of some new Einstein-type equations supposed to describe the strong field inside hadrons. These new equations can be obtained by the Einstein equations with cosmological term Lambda. As a consequence, Lambda and the masses M result in our theory to be scaled up, and transformed into a "hadronic constant" and into "strong masses", respectively. Due to the unusual range of Lambda and M values considered, we met a series of solutions of the Kerr-Newman-de Sitter (hereafter KNdS) type with rather interesting properties. The requirement that those solutions be stable, i.e., that their temperature (or surface gravity) be vanishingly small, implies the coincidence of at least two of their (in general, three) horizons. Imposing the stability condition of a certain horizon does yield (once chosen the values of J, q and Lambda) mass and radius of the associated black-hole (hereafter BH). In the case of ordinary Einstein equations and for stable BHs of the KNdS type, we get in particular Regge-like (hereafter RL) relations among mass M, angular momentum J, charge q and cosmological constant Lambda; which did not receive enough attention in the previous literature. Besides, we show some particular and interesting cases of these relations. Another interesting point is that, with few exceptions, all such relations (among M, J, q, Lambda) lead to solutions that can be regarded as (stable) cosmological models.

A short explanation of the Duflo-Zuker mass model

Abstract: In this note we give a short introduction to the Duflo-Zuker shell model mass formula which has been shown to have great prediction power but is mostly used as a black box due to its complex nature.