# Correlation between nuclear symmetry energy and the core-crust transition in neutron stars

Abstract : It has been pointed out that the slope of the nuclear symmetry energy at saturation density ($L$) is a crucial quantity to determine the mass and width of neutron-star crusts. This letter intends to clarify the relation between $L$ and the core-crust transition. We confirm that the transition density is soundly correlated with $L$ despite differences in the nuclear models, and we propose a clear understanding of this correlation based on a generalized liquid drop model (GLDM). Using a large number of nuclear models, we evaluate the dispersion affecting the correlation between the transition pressure $P_t$ and $L$. Furthermore, from a detailed analysis it is shown that this correlation is weak due to a cancellation between different terms. We point out that the correlation between the isovector coefficients $K_{sym}$ and $L$ plays a crucial role in this discussion.
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http://hal.in2p3.fr/in2p3-00477018
Contributor : Camille Ducoin <>
Submitted on : Tuesday, April 27, 2010 - 7:28:17 PM
Last modification on : Friday, February 12, 2021 - 10:58:06 AM
Long-term archiving on: : Thursday, June 30, 2011 - 12:16:34 PM

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Camille Ducoin, Jérôme Margueron, Constança Providência. Correlation between nuclear symmetry energy and the core-crust transition in neutron stars. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2010, 91, pp.32001. ⟨10.1209/0295-5075/91/32001⟩. ⟨in2p3-00477018v1⟩

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