The anatomy of the simplest Duflo-Zuker mass formula

TL;DR

This paper dissects the simplest Duflo-Zuker mass model, detailing its components and suggesting future improvements for nuclear mass predictions based on microscopic and macroscopic considerations.

Contribution

It provides a detailed step-by-step analysis of the simplest Duflo-Zuker mass formula and proposes directions for enhancing nuclear mass models.

Findings

The model includes six macroscopic monopole terms.

It incorporates three microscopic configuration mixing terms.

A term for deformed nuclei improves mass calculations.

Abstract

The simplest version of the Duflo-Zuker mass model (due entirely to the late Jean Duflo) is described by following step by step the published computer code. The model contains six macroscopic monopole terms leading asymptotically to a Liquid Drop form, three microscopic terms supposed to mock configuration mixing (multipole) corrections to the monopole shell effects, and one term in charge of detecting deformed nuclei and calculating their masses. A careful analysis of the model suggests a program of future developments that includes a complementary approach to masses based on an independently determined monopole Hamiltonian, a better description of deformations and specific suggestions for the treatment of three body forces.