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Constraining nuclear matter parameters from correlation systematics: a mean-field perspective

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Abstract

The nuclear matter parameters define the nuclear equation of state (EoS), they appear as coefficients of expansion around the saturation density of symmetric and asymmetric nuclear matter. We review their correlations with several properties of finite nuclei and of neutron stars within mean-field frameworks. The lower order nuclear matter parameters such as the binding energy per nucleon, incompressibility and the symmetry energy coefficients are found to be constrained in narrow limits through their strong ties with selective properties of finite nuclei. From the correlations of nuclear matter parameters with neutron star observables, we further review how precision knowledge of the radii and tidal deformability of neutron stars in the mass range \(1 - 2 M_\odot \) may help cast them in narrower bounds. The higher order parameters such as the density slope and the curvature of the symmetry energy or the skewness of the symmetric nuclear matter EoS are, however, plagued with larger uncertainty. From inter-correlation of these higher order nuclear matter parameters with lower order ones, we explore how they can be brought to more harmonious bounds.

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Acknowledgements

The authors acknowledge the contribution of many collaborators, who over many years were instrumental in helping to develop the ideas that we threaded in this review. The authors are extremely thankful to Tanuja Agrawal for her assistance in the preparation of the manuscript. T. M. acknowledges the hospitality extended to him by Saha Institute of Nuclear Physics during the course of this work. J. N. D. acknowledges support from the Department of Science and Technology, Government of India, with Grant no. EMR/2016/001512.

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  1. Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata, 700064, India

    B. K. Agrawal, J. N. De & S. K. Samaddar

  2. Homi Bhabha National Institute, Anushakti Nagar, Mumbai, 400094, India

    B. K. Agrawal

  3. Department of Physics, BITS-Pilani, K. K. Birla Goa Campus, Goa, 403726, India

    Tuhin Malik

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Agrawal, B.K., Malik, T., De, J.N. et al. Constraining nuclear matter parameters from correlation systematics: a mean-field perspective. Eur. Phys. J. Spec. Top. 230, 517–542 (2021). https://doi.org/10.1140/epjs/s11734-021-00001-7

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