Abstract
By means of bootstrap technique, we perform a full error analysis on the Duflo-Zucker mass model. We illustrate the impact of such study on the predicted chemical composition of the outer crust of a non-accreting neutron star. We define an existence probability for each nuclear species as a function of the depth of the crust. We observe that, due to statistical uncertainties, instead of having a well defined transition between two successive layers, we have a mixture of two species.
Highlights
The study of neutron stars (NS) is important for our understanding of nuclear matter in the most extreme conditions
We focus our attention on the outer crust region and how a complete error analysis impacts the prediction of the equation of state
The ten different contributions can be grouped in two categories: in the first one we find terms similar to liquid drop model (LD) as Coulomb (VC), symmetry energy ( VT, VT S) and pairing VP
Summary
The study of neutron stars (NS) is important for our understanding of nuclear matter in the most extreme conditions. The article is organised as follows: in Sec. we briefly discuss the main features of the DZ mass model and the statistical procedure used to estimate covariance matrix and error bars. In Sec., we present how the statistical errors on the nuclear binding energies impact the calculations of the outer crust composition. Following the detailed explanations provided in Refs [18, 19, 20], we write the nuclear binding energy (BE) for a given nucleus with N neutrons and Z protons as a sum of ten terms (DZ10) as. The covariance matrix is a key ingredient to propagate errors on the nuclear masses calculated with the DZ10 model [28]. We refer to Ref. [29] for more details
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