RESEARCH
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Solution to the hyperon puzzle using dark matter

A. Del Popolo, M. Deliyergiyev, M. Le Delliou

Abstract
In this paper, we studied the "hyperon puzzle", a problem that nevertheless the large number of studies is still an open problem. The solution of this issue requires one or more mechanisms that could eventually provide the additional repulsion needed to make the EoS stiffer and, therefore, the value of Mmax,T compatible with the current observational limits. In this paper we proposed that including dark matter (DM) admixed with ordinary matter in neutron stars (NSs), change the hydrostatic equilibrium and may explain the observed discrepancies, regardless to hyperon multi-body interactions, which seem to be unavoidable. We have studied how non-self-annihilating, and self-interacting, DM admixed with ordinary matter in NSs changes their inner structure, and discussed the mass-radius relations of such NSs. We considered DM particle masses of 1, 10 and 100 GeV, while taking into account a rich list of the DM interacting strengths, y. By analyzing the multidimensional parameter space, including several quantities like: a. the DM interacting strength, b. the DM particle mass as well as the quantity of DM in its interior, and c. the DM fraction, fDM, we put constraints in the parameter space fDM - pDM′ ∕ pOM′. Our bounds are sensitive to the recently observed NSs total masses.

Keywords
Neutron stars; Dark matter; Hyperon puzzle; Dark matter interaction strength; Mass-radius relations Galaxy center; General Relativity and Quantum Cosmology; Astrophysics - High Energy Astrophysical Phenomena; High Energy Physics - Phenomenology; Nuclear T

Physics of the Dark Universe
Volume 30, Number 1006, Page 39
2020 December

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Instituto de Astrofísica e Ciências do Espaço Universidade do Porto Faculdade de Ciências da Universidade de Lisboa
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia