Recently, the observation of the gravitational wave provides a new window
to investigate neutron stars. By study neutron stars, one can give inspiration to
nuclear physic and particle physic. On the other hand, the long stand discrepancy
of neutron lifetime, which describe the inconsistent between two category neutron
lifetime experiment, could be interpreted by introducing dark matter. Follow this
ideal, we present our dark model to consist of neutron lifetime discrepancy and
neutrino mass. And then construct hybrid star using neutron star EoS and dark
matter model we presented.

[1] William G. Newton, Michael Gearheart, Josh Hooker, and Bao-An Li. The nuclear symmetry energy, the inner crust, and global neutron star modeling, 2011.
[2] J. David Bowman, L. J. Broussard, S. M. Clayton, M. S. Dewey, N. Fomin, K. B. Grammer, G. L. Greene, P. R. Huffman, A. T. Holley, G. L. Jones, C. Y. Liu, M. Makela, M. P. Mendenhall, C. L. Morris, J. Mulholland, K. M. Nollett, Jr. R. W. Pattie, S. Penttila, M. Ramsey-Musolf, D. J. Salvat, A. Saunders, S. J. Seestrom, W. M. Snow, A. Steyerl, F. E. Wietfeldt, A. R. Young,
and A. T. Yue. Determination of the free neutron lifetime, 2014.
[3] A. P. Serebrov and A. K. Fomin. Neutron lifetime from a new evaluation of
ultracold neutron storage experiments. Physical Review C, 82(3), Sep 2010.
[4] F. E. Wietfeldt. Measurements of the Neutron Lifetime. Atoms, 6(4):70,
2018.
[5] Katherine Garrett and Gintaras Duda. Dark matter: A primer. Advances in
Astronomy, 2011:1–22, 2011.
[6] Nai-Bo Zhang and Bao-An Li. Extracting nuclear symmetry energies at high
densities from observations of neutron stars and gravitational waves. The
European Physical Journal A, 55(3), Mar 2019.
[7] Bartosz Fornal and Benjam´ın Grinstein. Dark matter interpretation of the
neutron decay anomaly. Physical Review Letters, 120(19), May 2018.
[8] Isaac Vida˜na. A short walk through the physics of neutron stars. Eur. Phys.
J. Plus, 133(10):445, 2018.
[9] P. Haensel, A. Y. Potekhin, and D. G. Yakovlev. Neutron stars 1: Equation
of state and structure. Astrophys. Space Sci. Libr., 326:pp.1–619, 2007.
[10] Irina Sagert, Matthias Hempel, Carsten Greiner, and J¨urgen SchaffnerBielich. Compact stars for undergraduates. European Journal of Physics,
27(3):577–610, Apr 2006.
[11] Brian D. Serot and John Dirk Walecka. Recent progress in quantum hadrodynamics. International Journal of Modern Physics E, 06(04):515–631, Dec
1997.
[12] B. G. Todd and J. Piekarewicz. Relativistic mean-field study of neutron-rich
nuclei.
[13] J. P. W. Diener. Relativistic mean-field theory applied to the study of neutron
star properties, 2008.
[14] Grigorios Panotopoulos and Il´ıdio Lopes. Dark matter effect on realistic
equation of state in neutron stars. Phys. Rev. D, 96:083004, Oct 2017.
[15] Gaurav Narain, J¨urgen Schaffner-Bielich, and Igor N. Mishustin. Compact
stars made of fermionic dark matter. Physical Review D, 74(6), Sep 2006.
[16] Marcello Baldo. Nuclear methods and the nuclear equation of state. Internat.
Review Nucl. Phys. World Scientific, Singapore, 1999.
[17] Nai-Bo Zhang, Bao-An Li, and Jun Xu. Combined constraints on the equation of state of dense neutron-rich matter from terrestrial experiments and
observations of neutron stars, 2018.
[18] Z. H. Li and H.-J. Schulze. Neutron star structure with modern nucleonic
three-body forces. Phys. Rev. C, 78:028801, Aug 2008.
[19] Jin-Biao Wei, Jia-Jing Lu, G. F. Burgio, Z. H. Li, and H. J. Schulze. Are
nuclear matter properties correlated to neutron star observables ?, 2019.
[20] Doan Thi Loan, Ngo Hai Tan, Dao T. Khoa, and Jerome Margueron. Equation of state of neutron star matter, and the nuclear symmetry energy. Physical Review C, 83(6), Jun 2011.
[21] H.-J. Schulze, A. Polls, A. Ramos, and I. Vida˜na. Maximum mass of neutron
stars. Phys. Rev. C, 73:058801, May 2006.
[22] S. Gandolfi, J. Carlson, and Sanjay Reddy. Maximum mass and radius of
neutron stars, and the nuclear symmetry energy. Physical Review C, 85(3),
Mar 2012.
[23] Sean Tulin and Hai-Bo Yu. Dark matter self-interactions and small scale
structure. Physics Reports, 730:1–57, Feb 2018.
[24] David N. Spergel and Paul J. Steinhardt. Observational evidence for selfinteracting cold dark matter. Physical Review Letters, 84(17):3760–3763,
Apr 2000.
[25] James M. Cline and Jonathan M. Cornell. Dark decay of the neutron. Journal
of High Energy Physics, 2018(7), Jul 2018.
[26] Somnath Mukhopadhyay, Debasis Atta, Kouser Imam, D. N. Basu, and
C. Samanta. Compact bifluid hybrid stars: hadronic matter mixed with self-interacting fermionic asymmetric dark matter. The European Physical
Journal C, 77(7), Jul 2017.