Medium Effects in MIT Bag Model for quark matter: Self consistent thermodynamical treatment
arXiv:2409.17862 · doi:10.1103/PhysRevD.108.103028
Abstract
The study of strange quark matter within the framework of the density-dependent MIT Bag model using the Grand Canonical ensemble is thermodynamically inconsistent. In this work, it is shown that if the medium effects are incorporated through a density-dependent Bag pressure in the Grand Canonical ensemble, then the Euler relation is violated. If Euler relation is used then the minimum of energy per baryon does not occur at zero pressure. In order to overcome this inconsistency, we propose the medium effect of the strange quark matter in the form of chemical potential dependent Bag pressure in the grand Canonical ensemble. The density dependent Bag pressure which has been used in Grand Canonical ensemble so far can however be used in Canonical ensemble without violating the laws of thermodynamics. These prescriptions will obey the Euler relation as well as the minimum energy per baryon will coincide with the zero of pressure and hence can be considered to be self consistent. These equations of state in the Grand Canonical ensemble can be further used to construct the Mass-Radius and other structural properties of the strange quark stars as well as hybrid stars. In our present work we have calculated the mass radius diagram of strange stars only using this formalism.
References in corpus (32)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- A Massive Pulsar in a Compact Relativistic Binary
- GW170817: Measurements of Neutron Star Radii and Equation of State
- A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
- QCD Phenomenology based on a Chiral Effective Lagrangian
- NJL-model analysis of dense quark matter
- A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
- Equations of state for supernovae and compact stars
- Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
- From hadrons to quarks in neutron stars: a review
- Evidence for quark-matter cores in massive neutron stars
- GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations
- Cold Quark Matter
- Small, Dense Quark Stars from Perturbative QCD
- The hadron-quark phase transition in dense matter and neutron stars
- Solid Quark Stars?
- Strange quark matter with dynamically generated quark masses
- Mass formulas and thermodynamic treatment in the mass-density-dependent model of strange quark matter
- Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets
- Strange quark stars within the Nambu-Jona-Lasinio model
- Maximum mass of neutron stars with a quark core
- Quark matter symmetry energy and quark stars
- Quark matter equation of state and stellar properties
- Strange quark matter in strong magnetic fields within a confining model
- Quark matter in Neutron Stars within the Field Correlator Method
- Speed of Sound in Hybrid Stars and the Role of Bag Pressure in the Emergence of Special Points on M-R Variation of Hybrid Stars
- Compact stars with a quark core within NJL model
- A Bayesian analysis of the properties of hybrid stars with the NJL model
- Gluon effects on the equation of state of color superconducting strange stars
- A Detailed Analysis of the Special Points on Solutions of Hybrid (Twin) Stars
- Properties of Hybrid Stars with Density Dependent Bag Model
- Cold dense quark matter with phenomenological medium effects: a self-consistent formulation of the quark-mass density-dependent model
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- Hybrid stars in light of the HESS J1731-347 remnant and the PREX-II experiment
- Is the central compact object in HESS J1731-347 a hybrid star with a quark core? An analysis with the constant speed of sound parametrization
- Analyzing the dense matter equation of states in the light of the compact object HESS J1731-347
- Effects of dark boson mediated feeble interaction between dark matter (DM) and quark matter on -mode oscillation of DM admixed quark stars
- Constraint on the equation of state of strange quark star: Perturbative QCD along with a density-dependent bag constant
- On the Cooling of Compact Stars in Light of the HESS J1731-347 Remnant
- Characterizing the quark-hadron mixed phase in compact star cores : sensitivity to nuclear saturation and quark-model parameters at finite-temperature
- Prospects for compact hexaquarks under the limitation imposed by quark confinement