The Chiral Phase Transition and Thermodynamic Properties in the Nambu-Jona-Lasinio Model Using the Midpoint Technique

Abu‐Shady, M.

doi:10.1007/s10773-014-2352-x

Cited by 8 publications

(9 citation statements)

References 16 publications

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“…In comparison with Refs. [18,19], the behavior of constituent quark mass is the qualitative agreement with the results of Refs. [18,19], in which the running coupling is not considered.…”

Section: Resultssupporting

confidence: 90%

“…Therefore, the coupling constant is not affected on qualitative behavior of the present observables. This fi nding is not considered in previous works such as [16][17][18][19].…”

Section: Resultsmentioning

confidence: 92%

“…Therefore, the effect of running coupling constant on the quantitative values of observables which leads to the phase transition is kept as crossover as in Refs. [18,19]…”

Section: Resultsmentioning

confidence: 99%

“…In this work, we focus on the quark models that deal with strong interactions between quarks inside nucleon. There are different quark models such as the quark sigma model and its extension [9][10][11][12][13][14][15] and Nambu and Jona-Lasinio model (NJL) its extension [16][17][18][19]. The NJL is taken as a model for the divergent integral [16].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the N-midpoint technique is applied for treatment the divergence integrals in NJL. In addition, the thermodynamic properties are calculated in the framework of NJL model, in which the coupling constant is generalized as a function of temperature and chemical potential, that is not considered in Ref [19].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Mid-point technique for calculating divergent integrals

Abu‐Shady¹

2019

Ann Math Phys

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A mid-point technique is introduced to overcome the diffi culties in other techniques. The modied e⁄ective interaction quark potential which uses to calculate different properties of the NJL model such as the constituent quark mass, pressure, and energy density is solved using the present technique. The present method gives good accuracy for the mathematical problem and avoids the physical di¢ culty in the previous works.

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“…In comparison with Refs. [18,19], the behavior of constituent quark mass is the qualitative agreement with the results of Refs. [18,19], in which the running coupling is not considered.…”

Section: Resultssupporting

confidence: 90%

“…Therefore, the coupling constant is not affected on qualitative behavior of the present observables. This fi nding is not considered in previous works such as [16][17][18][19].…”

Section: Resultsmentioning

confidence: 92%

“…Therefore, the effect of running coupling constant on the quantitative values of observables which leads to the phase transition is kept as crossover as in Refs. [18,19]…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Mid-point technique for calculating divergent integrals

Abu‐Shady¹

2019

Ann Math Phys

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Thermodynamic properties and algebraic solution of the N-dimensional harmonic oscillator with minimal length uncertainty relations

Dossa

2021

Phys. Scr.

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The algebraic solution of the deformed N-dimensional harmonic oscillator in the presence of a minimal length is determined. To reach this goal, we identify a hidden symmetry for the N free deformed harmonic oscillators. This allows us to algebraically determine the spectrum of the system. After determining the deformed partition function, we give some thermodynamics properties such as the mean energy, the mean free energy, the entropy, and the specific heat. The effect of the minimal length on all thermodynamic properties is very clear and considerable. In particular, from the curve of the entropy function no abrupt change has been identified for different values of the deformation parameter β. This means that the curvature observed in the specific heat curve does not present or indicate the existence of a phase transition. In the limit β=0, the specific heat of a crystalline body is independent of the temperature and of the body considered for large values of the temperature.

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Thermophysical Properties and Mass Spectra of Meson Systems via the Nikiforov–Uvarov Method

Horchani,

Al Kharusi,

Ikot

et al. 2024

Progress of Theoretical and Experimental Physics

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In this study, we analyze the mass spectra of meson systems within an N-dimensional space using the Killingbeck potential combined with an inversely quadratic potential (KPIQP). We employ the Nikiforov-Uvarov method along with the Pekeris approximation scheme to account for the centrifugal barrier. This approach enables us to compute numerical energy eigenvalues, normalized eigenfunctions, and mass spectra for both heavy and heavy-light meson systems. We explore various scenarios of the potential and find that the resulting energy eigenvalues are consistent with those obtained through previous analytical methods and experimental data. Additionally, we compute the thermodynamic properties of quarkonium particles, including mean energy, specific heat, free energy, and entropy. Furthermore, we investigate the effects of temperature and the dimensionality number on meson masses and thermodynamic properties, providing valuable insights into the behavior of meson systems under different conditions.

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The Chiral Phase Transition and Thermodynamic Properties in the Nambu-Jona-Lasinio Model Using the Midpoint Technique

Cited by 8 publications

References 16 publications

Mid-point technique for calculating divergent integrals

Mid-point technique for calculating divergent integrals

Thermodynamic properties and algebraic solution of the N-dimensional harmonic oscillator with minimal length uncertainty relations

Thermophysical Properties and Mass Spectra of Meson Systems via the Nikiforov–Uvarov Method

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