Share This Article:

Hardon-Quark Hybrid Stars Constructed by the Nonlinear σ-ω-ρ Mean-Field Model and MIT-Bag Model

DOI: 10.4236/oalib.1102012    432 Downloads   654 Views   Citations


Density-dependent relations among saturation properties of symmetric nuclear matter and hyperonic matter, properties of hadron-(strange) quark hybrid stars are discussed by applying the conserving nonlinear s-w-r hadronic mean-field theory. Nonlinear interactions that will be renormalized as effective coupling constants, effective masses and sources of meson equations of motion are constructed self-consistently by maintaining thermodynamic consistency to the mean-field approximation. The coupling constants expected from the hadronic mean-field model and SU (6) quark model for the vector coupling constants are compared; the coupling constants exhibit different density-dependent results for effective masses and binding energies of hyperons, properties of hadron and hadron-quark stars. The nonlinear s-w-r hadronic mean-field approximation with or without vacuum fluctuation corrections and strange quark matter defined by MIT-bag model are employed to examine properties of hadron-(strange) quark hybrid stars. The hadron-(strange) quark hybrid stars become more stable at high densities compared to pure hadronic and pure strange quark stars.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Uechi, S. and Uechi, H. (2015) Hardon-Quark Hybrid Stars Constructed by the Nonlinear σ-ω-ρ Mean-Field Model and MIT-Bag Model. Open Access Library Journal, 2, 1-16. doi: 10.4236/oalib.1102012.


[1] Day, B.D. (1978) Current State of Nuclear Matter Calculations. Reviews of Modern Physics, 50, 495-521.
[2] Hugenholtz, N.M. and Van Hove, L. (1958) A Theorem on the Single Particle Energy in a Fermi Gas with Interaction. Physica, 24, 363-376.
[3] Brueckner, K.A. and Levinson, C.A. (1955) Approximate Reduction of the Many-Body Problem for Strongly Interacting Particles to a Problem of Self-Consistent Fields. Physical Review, 97, 1344-1352.
Brueckner, K.A. (1958) Single-Particle Energy and Effective Mass and the Binding Energy of Many-Body Systems, Single Particle Energies in the Theory of Nuclear Matter. Physical Review, 110, 597-600.
Brueckner, K.A. and Goldman, D.T. (1960) Single Particle Energies in the Theory of Nuclear Matter. Physical Review, 117, 207-213.
Brueckner, K.A., Gammel, J.L. and Kubis, J.T. (1960) Calculation of Single-Particle Energies in the Theory of Nuclear Matter. Physical Review, 118, 1438-1441.
[4] Landau, L.D. (1956) Theory of Fermi-Liquids. Soviet Physics JETP-USSR, 3, 920-925.
Landau, L.D. (1957) Oscillations in a Fermi-Liquid. Soviet Physics JETP-USSR, 5, 101-108.
[5] Pines, D. and Nozières, P. (1966) The Theory of Quantum Liquids. Addison-Wesley, Boston.
[6] Nozières, P. (1964) Theory of Interacting Fermi Systems. Perseus Publishing, New York.
[7] Baym, G. and Kadanoff, L.P. (1961) Conservation Laws and Correlation Functions. Physical Review, 124, 287-299.
Baym, G. (1962) Self-Consistent Approximations in Many-Body Systems. Physical Review, 127, 1391-1401.
[8] Takada, Y. (1995) Exact Self-Energy of the Many-Body Problem from Conserving Approximations. Physical Review, B52, 12708-12719.
[9] Bonitz, M., Nareyka, R. and Semkat, D., Eds. (2000) Progress in Nonequilibrium Green’s Functions, Progress in Nonequilibrium Green’s Functions II. World Scientific, Singapore.
[10] Kohn, W. and Sham, L.J. (1965) Self-Consistent Equations Including Exchange and Correlation Effects. Physical Review, 140, A1133.
[11] Kohn, W. (1999) Nobel Lecture: Electronic Structure of Matter-Wave Functions and Density Functional. Reviews of Modern Physics, 71, 1253-1266.
[12] Uechi, H. (2004) The Theory of Conserving Approximations and the Density Functional Theory in Approximations for Nuclear Matter. Progress of Theoretical Physics, 111, 525-543.
[13] Serot, B.D. and Walecka, J.D. (1986) Advances in Nuclear Physics. Vol. 16, Negele, J.W. and Vogt, E., Eds., Plenum, New York.
[14] Serot, B.D. (1992) Quantum Hadrodynamics. Reports on Progress in Physics, 55, 1855-1946.
[15] Uechi, H. (1989) Fermi-Liquid Properties of Nuclear Matter in a Dirac-Hartree-Fock Approximation. Nuclear Physics A, 501, 813-834.
Uechi, H. (1992) Landau Fermi-Liquid Theory and Approximations in the Quantum Hadrodynamical Model. Nuclear Physics A, 541, 397-412.
[16] Furnstahl, R.J. and Serot, B.D. (1991) Covariant Feynman Rules at Finite Temperature: Time-Path Formulation. Physical Review C, 44, 2141-2174.
Furnstahl, R.J. and Serot, B.D. (1990) Covariant Mean-Field Calculations of Finite-Temperature Nuclear Matter. Physical Review C, 41, 262-279.
[17] Uechi, H. (2006) Properties of Nuclear and Neutron Matter in a Nonlinear σ-ω-ρ Mean-Field Approximation with Self- and Mixed-Interactions. Nuclear Physics A, 780, 247-273.
Uechi, H. (2008) Density-Dependent Correlations between Properties of Nuclear Matter and Neutron Stars in a Nonlinear σ-ω-ρ Mean-Field Approximation. Nuclear Physics A, 799, 181-209.
[18] Uechi, S.T. and Uechi, H. (2009) The Density-Dependent Correlations among Observables in Nuclear Matter and Hyperon-Rich Neutron Stars. Advances in High Energy Physics, 2009, Article ID: 640919.
[19] Uechi, H. and Uechi, S.T. (2009) Saturation Properties and Density-Dependent Interactions among Nuclear and Hyperon Matter. The Open Nuclear & Particle Physics Journal, 2, 47-60.
[20] Botvina, A.S. and Pochodzalla, J. (2007) Production of Hypernuclei in Multifragmentation of Nuclear Spectator Matter. Physical Review C, 76, Article ID: 024909.
[21] Misner, C.W., Thorne, K.S. and Wheeler, J.W. (1973) Gravitation. W. H. Freeman and Company, New York.
[22] Arnett, D. (1996) Supernovae and Nucleosynthesis. Princeton University Press, Princeton.
[23] Glendenning, N.K. (2000) Compact Stars. Springer-Verlag, New York.
[24] Uechi, H., Uechi, S.T. and Serot, B.D., Eds. (2012) Neutron Stars: The Aspect of High Density Matter, Equations of State and Related Observables. Nova Science Publisher, New York.
[25] Akmal, A., Pandharipande, V.R. and Ravenhall, D.G. (1998) Equation of State of Nucleon Matter and Neutron Star Structure. Physical Review C, 58, 1804-1828.
[26] Lattimer, J.M. and Prakash, M. (2007) Neutron Star Observations: Prognosis for Equation of State Constraints. Physics Reports, 442, 109-165.
[27] Vidaña, I., Polls, A., Ramos, A., Engvik, L. and Hjorth-Jensen, M. (2000) Hyperon-Hyperon Interactions and Properties of Neutron Star Matter. Physical Review C, 62, Article ID: 035801.
[28] Baldo, M., Burgio, G.F. and Schulze, H.J. (2000) Hyperon Stars in the Brueckner-Bethe-Goldstone Theory. Physical Review C, 61, Article ID: 055801.
[29] Maruyama, T., Chiba, S., Schulze, H.J. and Tatsumi, T. (2007) Hadron-Quark Mixed Phase in Hyperon Stars. Physical Review D, 76, Article ID: 123015.
[30] Uechi, H. (2008) Correlations between Saturation Properties of Isospin Symmetric and Asymmetric Nuclear Matter in a Nonlinear σ-ω-ρ Mean-Field Approximation. Advanced Studies in Theoretical Physics, 2, 519-548.
[31] Gal, A. (2003) To Bind or Not to Bind: ΛΛ Hypernuclei and Ξ Hyperons. Nuclear Physics A, 721, C945-C950.
[32] Glendenning, N.K., Von-Eiff, D., Haft, M., Lenske, H. and Weigel, M.K. (1993) Relativistic Mean-Field Calculations of Λ and Σ Hypernuclei. Physical Review C, 48, 889-895.
[33] Bellac, M.L., Mortessagne, F. and Bartrouni, G.G. (2004) Equilibrium and Non-Equilibrium Statistical Thermodynamics. Cambridge University Press, Cambridge.
[34] Gelmini, G. and Ritzi, B. (1995) Chiral Effective Lagrangian Description of Bulk Nuclear Matter. Physics Letters B, 357, 431-434.
[35] Huguet, R., Caillon, J.C. and Labarsouque, J. (2007) Saturation Properties of Nuclear Matter in a Relativistic Mean Field Model Constrained by the Quark Dynamics. Nuclear Physics A, 781, 448-458.
[36] Schaffner, J. and Mishustin, I.N. (1996) Hyperon-Rich Matter in Neutron Stars. Physical Review C, 53, 1416-1429.
[37] Shao, G.-Y. and Liu, Y.-X. (2009) Influence of the σ-ω Meson Interaction on Neutron Star Matter. Physical Review C, 79, Article ID: 025804.
[38] Furnstahl, R.J., Serot, B.D. and Tang, H.-B. (1997) A Chiral Effective Lagrangian for Nuclei. Nuclear Physics A, 615, 441-482.
[39] McIntire, J., Hu, Y. and Serot, B.D. (2007) Loop Corrections and Naturalness in a Chiral Effective Field Theory. Nuclear Physics A, 794, 166-186.
[40] Walecka, J.D. (1995) Theoretical Nuclear and Subnuclear Physics. Oxford University Press, Oxford.
[41] Jha, T.K. and Mishra, H. (2008) Constraints on Nuclear Matter Parameters of an Effective Chiral Model. Physical Review C, 78, Article ID: 065802.
[42] Brown, G.E. and Rho, M. (1991) Scaling Effective Lagrangians in a Dense Medium. Physical Review Letters, 66, 2720-2723.
[43] Chiapparini, M., Bracco, M.E., Delfino, A., Malheiro, M., Menezes, D.P. and Providência, C. (2009) Hadron Production in Non-Linear Relativistic Mean Field Models. Nuclear Physics A, 826, 178-189.
[44] Uechi, H. and Uechi, S.T. (2008) Meeting Abstract. The Annual Meeting of Japan Physical Society, 63, Part 1, 49.
[45] Serot, B.D. and Uechi, H. (1987) Neutron Stars in Relativistic Hadron-Quark Models. Annals of Physics, 179, 272-293.
[46] Chodos, A., Jaffe, R.L., Johnson, K., Thorn, C.B. and Weisskopf, V.F. (1974) New Extended Model of Hadrons. Physical Review D, 9, 3471-3495.
[47] Farhi, E. and Jaffe, R.L. (1984) Strange Matter. Physical Review D, 30, 2379-2390.
[48] Shapiro, S.L. and Teukolsky, S.A. (1983) Black Holes, White Dwarfs, and Neutron Stars. John Wiley & Sons Inc., Hoboken.
[49] Witten, E. (1984) Cosmic Separation of Phases. Physical Review D, 30, 272-285.
[50] Dexheimer, V.A. and Schramm, S. (2009) Neutron Stars as a Probe for Dense Matter. Nuclear Physics A, 827, 579c-581c.
[51] Bombaci, I., Logoteta, D., Panda, P.K., Providência, C. and Vidaña, I. (2009) Quark Matter Nucleation in Hot Hadronic Matter. Physics Letters B, 680, 448-452.

comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.