Abstract
In this paper, an investigation of the role of nuclear saturation parameters on f-mode oscillations in neutron stars is performed within the Cowling approximation. It is found that the uncertainty in the effective nucleon mass plays a dominant role in controlling the f-mode frequencies. The effect of the uncertainties in saturation parameters on previously-proposed empirical relations of the frequencies with astrophysical observables relevant for asteroseismology are also investigated. These results can serve as an important tool for constraining the nuclear parameter space and understand the behaviour of dense nuclear matter from the future detection of f-modes.
Highlights
Within the framework of the relativistic mean field (RMF) model, we systematically explore the parameter space allowed by current nuclear experimental data and perform a sensitivity study of the mode frequencies to the uncertainties in each of these parameters
In order to obtain the equations of state (EoS) of nuclear matter in the RMF Model, let us start with the following interaction Lagrangian density: Lint =
The f -modes have frequencies within 1–3 kHz compatible with previous results reported in literature [41,44]
Summary
Within the framework of the relativistic mean field (RMF) model, we systematically explore the parameter space allowed by current nuclear experimental data and perform a sensitivity study of the mode frequencies to the uncertainties in each of these parameters It is investigated how these uncertainties affect previously proposed empirical relations in the literature, relevant for asteroseismology of non-rotating NSs. Section 2 describes the microscopic calculation of the EoS as well as the determination of macroscopic NS observables from such an EoS. It is worth mentioning here that the use of the Cowling approximation in solving the mode frequencies introduces uncertainties (typically 10–30%) exceeding those of the semi-empirical relations sought This is known from previous studies, and the investigation gives us a good qualitative idea about how much the uncertainty in the nuclear saturation parameters affects these relations.
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