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We construct four equation of state (EoS) tables, tabulated over a range of temperatures, densities, and charge fractions, relevant for neutron star applications such as simulations of neutron star mergers. The EoS are computed from a…

Nuclear Theory · Physics 2023-11-21 Mark G. Alford , Liam Brodie , Alexander Haber , Ingo Tews

The last decade has witnessed both quantitative and qualitative progresses in Shell Model studies, which have resulted in remarkable gains in our understanding of the structure of the nucleus. Indeed, it is now possible to diagonalize…

Nuclear Theory · Physics 2008-11-26 E. Caurier , G. Martínez-Pinedo , F. Nowacki , A. Poves , A. P. Zuker

Empirically determined values of the nuclear volume and surface symmetry energy coefficients from nuclear masses are expressed in terms of density distributions of nucleons in heavy nuclei in the local density approximation. This is then…

Nuclear Theory · Physics 2015-06-16 B. K. Agrawal , J. N. De , S. K. Samaddar , G. Colo , A. Sulaksono

We describe recent progress in developing practical ab initio methods for which the computer effort is proportional to the number of atoms: linear scaling or O(N) methods. It is shown that the locality property of the density matrix gives a…

Condensed Matter · Physics 2007-05-23 D. R. Bowler , I. J. Bush , M. J. Gillan

The spin and parity dependent nuclear level densities (NLD) are calculated for medium-heavy nuclei using shell model techniques. The NLD are used to calculate cross sections and reaction rates of interest for nuclear astrophysics and…

Nuclear Theory · Physics 2018-01-17 Mihai Horoi , Jayani Dissanayake

In this work we present a detailed explanation of the construction of an appropriate equation of state (EoS) for nuclear astrophysics. We use a relativistic model in order to obtain an EoS for neutrally charged matter that extends from very…

Astrophysics · Physics 2007-05-23 D. P. Menezes , C. Providencia

We introduce a new implementation of time-dependent density-functional theory which allows the \emph{entire} spectrum of a molecule or extended system to be computed with a numerical effort comparable to that of a \emph{single} standard…

Materials Science · Physics 2009-11-13 Dario Rocca , Ralph Gebauer , Yousef Saad , Stefano Baroni

Instead of parameterizing the pressure-density relation of a neutron star (NS), one can parameterize its macroscopic properties such as mass ($M$), radius ($R$), and dimensionless tidal deformability ($\Lambda$) to infer the equation of…

High Energy Astrophysical Phenomena · Physics 2022-08-31 Bhaskar Biswas , Sayak Datta

We construct the equation of state (EOS) of nuclear matter using the relativistic mean field (RMF) theory in the wide density, temperature range with various proton fractions for the use of supernova simulation and the neutron star…

Nuclear Theory · Physics 2009-10-31 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi

The modern form of the Moments Method applied to the calculation of the nuclear shell-model level density is explained and examples of the method at work are given. The calculated level density practically exactly coincides with the result…

Nuclear Theory · Physics 2016-01-27 V. Zelevinsky , M. Horoi , R. A. Sen'kov

From empirically determined values of some of the characteristic constants associated with homogeneous nuclear matter at saturation and sub-saturation densities, within the framework of a Skyrme-inspired energy density functional, we…

Nuclear Theory · Physics 2015-06-23 N. Alam , B. K. Agrawal , J. N. De , S. K. Samaddar , G. Colò

The global behavior of the nuclear equation of state (EoS) is commonly studied using data from finite nuclei (FN), heavy-ion collisions, and astrophysical observations of neutron stars (NS). The constraints derived from FN such as binding…

Nuclear Theory · Physics 2026-04-10 Anagh Venneti , Chiranjib Mondal , Sk Md Adil Imam , Sarmistha Banik , Bijay K. Agrawal

Recent astronomical observations, nuclear-reaction experiments, and microscopic calculations have placed new constraints on the nuclear equation of state (EoS) and revealed that most nuclear structure models fail to satisfy those…

Nuclear Theory · Physics 2019-07-22 Hana Gil , Panagiota Papakonstantinou , Chang Ho Hyun , Yongseok Oh

This work introduces a method for determining the energy spectrum of lattice quantum chromodynamics (LQCD) by applying the Lanczos algorithm to the transfer matrix and using a bootstrap generalization of the Cullum-Willoughby method to…

High Energy Physics - Lattice · Physics 2025-05-09 Michael L. Wagman

We construct the equation of state (EOS) of nuclear matter at finite temperature and density with various proton fractions within the relativistic mean field (RMF) theory for the use in the supernova simulations. The Thomas-Fermi…

Nuclear Theory · Physics 2009-10-31 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi

A mean field calculation is carried out to obtain the equation of state (EoS) of nuclear matter from a density dependent M3Y interaction (DDM3Y). The energy per nucleon is minimized to obtain ground state of the symmetric nuclear matter…

Nuclear Theory · Physics 2008-09-04 D. N. Basu , P. Roy Chowdhury , C. Samanta

The low density nuclear matter equation of state is strongly constrained by nuclear properties, however, for constraining the high density equation of state it is necessary to resort to indirect information obtained from the observation of…

Nuclear Theory · Physics 2021-10-04 Márcio Ferreira , Constança Providência

We propose a new shell model method, combining the Lanczos digonalization and extrapolation method. This method can give accurate shell model energy from a series of shell model calculations with various truncation spaces, in a…

Nuclear Theory · Physics 2009-11-07 Takahiro Mizusaki , Masatoshi Imada

For nuclear level densities, a modification of an enhanced generalized superfluid model with different collective state enhancement factors is studied. An effect of collective states on forming the temperature is taken into account. The…

Nuclear Theory · Physics 2013-06-27 Vladimir Plujko , Oleksandr Gorbachenko , Boris Bondar , Evgeniy Rovenskykh

Realistic nuclear level densities (NLDs) obtained within the spectral distribution method (SDM) are employed to study nuclear processes of astrophysical interest. The merit of SDM lies in the fact that the NLDs corresponding to many body…

Nuclear Theory · Physics 2022-05-04 Sangeeta , T. Ghosh , B. Maheshwari , G. Saxena , B. K. Agrawal