Light clusters in the liquid proto-neutron star inner crust

Dinh Thi, H.; Fantina, A. F.; Gulminelli, F.

doi:10.1140/epja/s10050-023-01199-x

Eur. Phys. J. A

2023

DOI: 10.1140/epja/s10050-023-01199-x

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Light clusters in the liquid proto-neutron star inner crust

H. Dinh Thi,

A. F. Fantina,

F. Gulminelli

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2024

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Cited by 2 publications

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The nuclear many-body problem

Blaschke,

Horiuchi,

Ring

et al. 2024

Eur. Phys. J. A

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This Topical Collection of the European Physics Journal A is devoted to recent progress in the nuclear many-body problem. In particular, it aims at a comprehensive compilation of developments related to the work of a pioneer in that field, Peter Schuck, who passed away in 2022. Together with Peter Ring, he co-authored the book on “The Nuclear Many-Body Problem”. Different concepts presented in this seminal book have been elaborated further within a broad international collaboration. For instance, the quasi-particle approaches in connection with nuclear superfluidity and cluster formation in nuclear systems, in particular alpha-particle condensation and quartetting at subsaturation densities, have been put forward inspired by Peter Schuck. These advances obtained in the nuclear many-body problem can also be applied to other systems, for instance solid state physics. This Topical Collection is considered as addendum and continuation of the textbook of P. Ring and P. Schuck.

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The nuclear many-body problem

Blaschke,

Horiuchi,

Ring

et al. 2024

Eur. Phys. J. A

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Neutron stars as dense liquid drop at equilibrium within the effective surface approximation

Magner,

Maydanyuk,

Bonasera

et al. 2024

Int. J. Mod. Phys. E

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The macroscopic model is formulated for a neutron star (NS) as a perfect liquid drop at the equilibrium. We use the leptodermic approximation [Formula: see text], where a is the crust thickness of the effective surface (ES) of NS, and R is the mean radius of the ES curvature. Within the approximate Schwarzschild metric solution to the general relativity theory equations for the spherically symmetric systems, the macroscopic gravitation is taken into account in terms of the total separation particle energy and incompressibility. Density distribution [Formula: see text] across the ES in the normal direction to the ES was obtained analytically for a general form of the energy density [Formula: see text]. For the typical crust thickness, and effective radius, one finds the leading expression for the density [Formula: see text]. NS masses are analytically calculated as a sum of the volume and surface terms, taking into account the radial curvature of the metric space, in reasonable agreement with the recently measured masses for several NSs. We derive the simple macroscopic equation of state (EoS) with the surface correction. The analytical and numerical solutions to Tolman–Oppenheimer–Volkoff equations for the pressure are in good agreement with the volume part of our EoS.

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Light clusters in the liquid proto-neutron star inner crust

Cited by 2 publications

References 73 publications

The nuclear many-body problem

The nuclear many-body problem

Neutron stars as dense liquid drop at equilibrium within the effective surface approximation

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