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.
Cite this paper
Uechi, S. T. 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, e2012. doi: http://dx.doi.org/10.4236/oalib.1102012.
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. http://dx.doi.org/10.1103/PhysRev.97.1344
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. http://dx.doi.org/10.1103/PhysRev.110.597
Brueckner, K.A. and Goldman, D.T. (1960) Single Particle Energies in the Theory of
Nuclear Matter. Physical Review, 117, 207-213. http://dx.doi.org/10.1103/PhysRev.117.207
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. http://dx.doi.org/10.1103/PhysRev.118.1438
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.
Kohn, W. and Sham, L.J. (1965) Self-Consistent Equations Including
Exchange and Correlation Effects. Physical Review, 140, A1133. http://dx.doi.org/10.1103/physrev.140.a1133
Kohn, W. (1999) Nobel Lecture: Electronic Structure of Matter-Wave
Functions and Density Functional. Reviews
of Modern Physics, 71, 1253-1266. http://dx.doi.org/10.1103/RevModPhys.71.1253
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. http://dx.doi.org/10.1143/PTP.111.525
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. http://dx.doi.org/10.1016/j.nuclphysa.2006.10.015
Uechi, H. (2008) Density-Dependent
Correlations between Properties of Nuclear Matter and Neutron Stars in a Nonlinear σ-ω-ρMean-Field Approximation. Nuclear Physics A, 799, 181-209. http://dx.doi.org/10.1016/j.nuclphysa.2007.11.003
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. http://dx.doi.org/10.1155/2009/640919
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. http://dx.doi.org/10.2174/1874415X00902010047
Botvina, A.S. and
Pochodzalla, J. (2007) Production of Hypernuclei in Multifragmentation of
Nuclear Spectator Matter. Physical Review C, 76, Article ID: 024909. http://dx.doi.org/10.1103/PhysRevC.76.024909
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.
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. http://dx.doi.org/10.1103/PhysRevC.58.1804
Lattimer, J.M. and
Prakash, M. (2007) Neutron Star Observations: Prognosis for Equation of State
Constraints. Physics Reports, 442, 109-165. http://dx.doi.org/10.1016/j.physrep.2007.02.003
Vidana,
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. http://dx.doi.org/10.1103/PhysRevC.62.035801
Uechi,
H. (2008) Correlations between Saturation Properties of Isospin Symmetric and
Asymmetric Nuclear Matter in a Nonlinear σ-ω-ρMean-Field Approximation. Advanced Studies in Theoretical Physics, 2, 519-548.
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. http://dx.doi.org/10.1103/PhysRevC.48.889
Bellac,
M.L., Mortessagne, F. and Bartrouni, G.G. (2004) Equilibrium and Non-Equilibrium Statistical Thermodynamics. Cambridge
University Press, Cambridge. http://dx.doi.org/10.1017/CBO9780511606571
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. http://dx.doi.org/10.1016/j.nuclphysa.2006.11.046
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. http://dx.doi.org/10.1103/PhysRevC.79.025804
Jha, T.K. and Mishra, H. (2008) Constraints on Nuclear Matter
Parameters of an Effective Chiral Model. Physical Review C, 78, Article
ID: 065802. http://dx.doi.org/10.1103/PhysRevC.78.065802
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. http://dx.doi.org/10.1016/j.nuclphysa.2009.05.002
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. http://dx.doi.org/10.1103/PhysRevD.9.3471
Shapiro, S.L. and
Teukolsky, S.A. (1983) Black Holes, White Dwarfs, and Neutron
Stars. John Wiley & Sons Inc.,Hoboken. http://dx.doi.org/10.1002/9783527617661
Bombaci,
I.,Logoteta,
D., Panda, P.K., Providência, C. and Vidana, I. (2009) Quark Matter Nucleation
in Hot Hadronic Matter. Physics Letters B, 680, 448-452. http://dx.doi.org/10.1016/j.physletb.2009.09.039