Image reconstruction techniques applied to nuclear mass models

Morales, Irving O.; Isacker, P. Van; Velázquez, Víctor; Barea, J.; Mendoza-Temis, Joel; Vieyra, J. C. López; Hirsch, Jorge G.; Frank, A.

doi:10.1103/physrevc.81.024304

Cited by 20 publications

(14 citation statements)

References 22 publications

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“…In contrast, the present calculations agree very well with the MC01 PIMC results. Figure 8 portrays now similar comparisons with another set of first principle simulations, namely the Coupled-Electron-Ion Monte-Carlo (CEIMC) calculations of Morales et al (2010a), probing the very pressuredissociation/ionization regime, between ρ = 0.7 g cm −3 and 2.4 g cm −3 . Remember that in this regime, both the present and Becker et al (2014) EOS calculations rely on QMD simulations.…”

Section: Comparison With Ab Initio Calculationssupporting

confidence: 64%

“…(1) For T < ∼ 10 3 K, hydrogen becomes solid over some pressure/density range. The melting line for H 2 has been determined experimentally up to T 1000 K, P 100 GPa (Datchi et al 2000, Deemyad & Silvera 2008, Eremets & Trojan 2009 and has been extrapolated up to about 300 GPa by the following fonctional form (Kechin 1995), based on QMD simulations (Bonev et al 2004, Morales et al 2010a, Caillabet et al 2011 2 ):…”

Section: The Hydrogen Equation Of Statementioning

confidence: 99%

“…Chabrier 1993). The hydrogen QMD calculations in the intermediate density regime (see above) are based on Caillabet et al (2011), which gather QMD simulations by Holst et al (2008), coupled electron-ion Monte Carlo (CEIMC) calculations by Morales et al (2010a), and PIMC calculations by Militzer & Ceperley (2000). These calculations have been supplemented by further QMD calculations for our present purpose.…”

Section: The Hydrogen Equation Of Statementioning

confidence: 99%

“…Therefore, in the present calculations, we have modified the d(ρ) parameter of the fit given in eqn. (24) of Caillabet et al (2011) in various density domains in order to recover the ab initio calculations of Morales et al (2010a). The results will be illustrated in §2.3 below for H and in §4 for the H/He mixture.…”

Section: The Hydrogen Equation Of Statementioning

confidence: 99%

See 3 more Smart Citations

A New Equation of State for Dense Hydrogen–Helium Mixtures

Chabrier

Mazevet

Soubiran

2019

ApJ

151

172

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We present a new equation of state (EOS) for dense hydrogen/helium mixtures which covers a range of densities from 10 −8 to 10 6 g cm −3 , pressures from 10 −9 to 10 13 GPa and temperatures from 10 2 to 10 8 K. The calculations combine the EOS of Saumon, Chabrier & vanHorn (1995) in the low density, low temperature molecular/atomic domain, the EOS of Chabrier & Potekhin (1998) in the high-density, high-temperature fully ionized domain, the limits of which differ for H and He, and ab initio quantum molecular dynamics (QMD) calculations in the intermediate density and temperature regime, characteristic of pressure dissociation and ionization. The EOS for the H/He mixture is based on the so-called additive volume law and thus does not take into account the interactions between the two species. A major improvement of the present calculations over existing ones is that we calculate the entropy over the entire density-temperature domain, a necessary quantity for stellar or planetary evolution calculations. The EOS results are compared with existing experimental data, namely Hugoniot shock experiments for pure H and He, and with first principle numerical simulations for both the single elements and the mixture. This new EOS covers a wide range of physical and astrophysical conditions, from jovian planets to solar-type stars, and recovers the existing relativistic EOS at very high densities, in the domains of white dwarfs and neutron stars. All the tables are made publicly available.

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Section: Comparison With Ab Initio Calculationssupporting

confidence: 64%

Section: The Hydrogen Equation Of Statementioning

confidence: 99%

Section: The Hydrogen Equation Of Statementioning

confidence: 99%

Section: The Hydrogen Equation Of Statementioning

confidence: 99%

See 2 more Smart Citations

A New Equation of State for Dense Hydrogen–Helium Mixtures

Chabrier

Mazevet

Soubiran

2019

ApJ

151

172

View full text Add to dashboard Cite

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“…Compared to the former mass relations, the accuracies of these global mass models are worse. Therefore, several methods have been introduced to improve their accuracies, such as the CLEAN image reconstruction technique [28], the radial basis function approach [29][30][31][32][33], and the neural network approach [34][35][36]. After Burbidge's systematic introduction to the r process for the first time [37], due to the lag of experimental and theoretical development, only the phenomenological nuclear droplet mass formula [38] could be considered for the r-process calculations in a long period.…”

Section: Introductionmentioning

confidence: 99%

Impact of the nuclear mass uncertainties on the r process

Wang

Wen

Heng

2019

Int. J. Mod. Phys. E

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Based on a simple site-independent approach, we attempt to reproduce the solar r-process abundance with four nuclear mass models, and investigate the impact of the nuclear mass uncertainties on the r process. In this paper, we first analyze the reliability of an adopted empirical formula for β-decay half-lives which is a key ingredient for the r process. Then we apply four different mass tables to study the r-process nucleosynthesis together with the calculated β-decay half-lives, and the existing β-decay data from FRDM+QRPA is also considered for comparison. The numerical results show that the main features of the solar r-process pattern and the locations of the abundance peaks can be reproduced well via the r-process simulations. Moreover, we also find that the mass uncertainties can significantly affect the derived astrophysical conditions for the r-process site, and resulting in a remarkable impact on the r process.

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On the quantum statistics of bound states within the Rutherford model of matter

2012

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The quantum statistical treatment of the Rutherford model is analyzed, considering matter as a system of point charges (electrons and nuclei). First, the solutions of different fundamental problems are discussed, such as the divergence of the partition function, elaborated by Herzfeld, Planck, Brillouin and Rompe. Beyond this analysis in the historical context, the modern state of art is presented and new results are given which explain why bound states according to a discrete part of the spectra occur only in a valley in the temperature-density plane. Based on the actual state of the quantum statistics of Coulomb systems, virial expansions within the canonical ensemble and the grand ensemble and combinations are derived. Furthermore, the transitions along isotherms are studied: (i) the formation of bound states occurring by increasing the density from low to moderate values, (ii) the disappearance of bound state effects at higher densities. Within the physical picture isotherms of pressure for hydrogen are calculated in a broad density region. It is shown that in the region between 20 000 K and 100 000 K and particle densities below 10 22 cm −3 the cross-over from full to partial ionization may be well described by the contributions of extended ring diagrams and ladder diagrams.

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Image reconstruction techniques applied to nuclear mass models

Cited by 20 publications

References 22 publications

A New Equation of State for Dense Hydrogen–Helium Mixtures

A New Equation of State for Dense Hydrogen–Helium Mixtures

Impact of the nuclear mass uncertainties on the r process

On the quantum statistics of bound states within the Rutherford model of matter

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