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Mass-Radius Relation for a Rotating and Magnetized Neutron Star Using the Nambu-Jona-Lasinio Model

Saⅾeghi, Ⅿohaⅿⅿaⅾ Sharif | 2024

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 56817 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Sadooghi, Neda
  7. Abstract:
  8. One of the most essential concepts for describing neutron stars is investigating their radial mass distribution or mass-radius relation. The aim of this thesis is to evaluate radial mass distribution of neutron stars in the presence of magnetic fields. To achieve this objective we use the Tolman- Oppenheimer-Volkoff equation of hydrostatic equilibrium for non-rotating cases and the Hartle- Thorne equations for rotating cases. olving these equations depends on determination of equation of state of neutron star in the presence of magnetic fields. For determining the corresponding equation of state, one can use QCD-like non-perturbative models, in particular Nambu-Jona- Lasinio (NJL) model. In this thesis we first investigate a simple version of this model without background magnetic field and derive the mass-radius relation of the model. We then calculate the corresponding corrections to stellar mass due to stellar rotation. We also consider the effect of magnetic fields on the NJL equation of state using mean-field approximation for a phase of QCD matter called Magnetic Dual Chiral Density Wave, derive the equation of state and mass-radius relation for this particular phase, and examine the ability of this phase in producing stellar mass
  9. Keywords:
  10. Neutron Star ; State Equation ; Nonlocal Nambu-Jona-Lasinio ; Magnetic Fields ; Magnetic Dual Chiral Density Wave Phase ; Stellar Rotation ; Hartle-Thorne Method ; Tolman-Oppenheimer-Volkoff Equation

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