Effect of a logarithmic mesonic potential on nucleon properties in the coherent-pair approximation

Abu‐Shady, M.; Rashdan, M.

doi:10.1103/physrevc.81.015203

Cited by 21 publications

(29 citation statements)

References 35 publications

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“…Moreover, in Table VII we present the results obtained using a second parameter set, better fitted to the single nucleon properties. It is important to remark that our results in the logarithmic model with only chiral fields are consistent with the ones obtained in [20]. There, a different approach based on the coherent pair approxi- mation was used.…”

Section: Results: Properties Of the Nucleon In Vacuumsupporting

confidence: 71%

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A chiral quark-soliton model with broken scale invariance for nuclear matter

Sarti

Drago

2012

AIP Conference Proceedings

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We present a model for describing nuclear matter at finite density based on quarks interacting with chiral fields, σ and π and with vector mesons introduced as massive gauge fields. The chiral Lagrangian includes a logarithmic potential, associated with the breaking of scale invariance. We provide results for the soliton in vacuum and at finite density, using the Wigner-Seitz approximation. We show that the model can reach higher densities respect to the linear-σ model and that the introduction of vector mesons allows to obtain saturation. This result was never obtained before in similar approaches.

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Section: Results: Properties Of the Nucleon In Vacuumsupporting

confidence: 71%

“…We should remark that the version of this model without vector mesons has already been studied at zero density in [20], but using a different technique to describe the single nucleon. Instead no calculation exists with the vector mesons.…”

Section: Introductionmentioning

confidence: 99%

A chiral quark-soliton model with broken scale invariance for nuclear matter

Sarti

Drago

2012

AIP Conference Proceedings

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“…This model successfully predicted the nucleon properties in low energy (zero temperature and density) after replacing the baryon picture by the quark picture as in [3][4][5][6]. This model has been extended by including higher-order mesonic contributions [7][8][9] or by replacing the original mesonic potential by the logarithmic mesonic potential [10][11][12] to improve the description of nucleon properties at low energy.…”

Section: Introductionmentioning

confidence: 93%

Nucleon Properties Below the Critical Point Temperature

Abu‐Shady

2010

Int J Theor Phys

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In this paper, we extended our work (Abu-Shady, Int. J. Theory Phys. 49:2425Phys. 49: , 2010 to include nucleon properties. The field equations have been solved in the mean-field approximation using the effective mesonic potential at finite temperature. We found that the nucleon first mass increases up to 4 5 T c MeV (where T c is the critical point temperature) then decreases at higher values of temperature which approach the critical temperature (T c ). In addition, we found that the magnetic moments of the proton and neutron can be increased by increasing the temperature up to the critical temperature. Moreover, we examined the axial coupling constant g A (0), and the pion-nucleon coupling constant g πNN (0) as functions of temperature. The obtained results are compared with previous works. From the results, we conclude that finite temperature plays a significant role in the change of behavior of nucleon properties.Keywords The linear sigma model · The mean field approximation · Finite temperature field theory M. Abu-Shady ( )

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“…In this case, the phase of spontaneously broken chiral symmetry leads to M π = 0 and M σ = 0 as in Eqs. (19) and (20). Thus, Goldstone's theorem is satisfied as in Ref.…”

Section: The Effective Logarithmic Mesonic Potential At Finite Tempermentioning

confidence: 76%

“…In addition, the effect of free parameters on the meson properties, the critical temperature and the phase transition are investigated. We avoid the physical difficulty that found in the previous works, 19,20 which comes from singularity point. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 93%

Chiral logarithmic sigma model at finite temperature and baryonic chemical potential

Abu‐Shady

2014

Mod. Phys. Lett. A

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A logarithmic potential is suggested to study the chiral phase transition, the critical temperature, and the meson masses at finite temperature and baryonic chemical potential. The logarithmic potential is based on some aspects of quantum chromodynamics (QCD) theory. The model has been solved in the mean-field approximation. We found that the behavior of meson masses takes a similar behavior as in the original sigma model and the Nambu-Jona-Lasinio model. The critical temperature is reduced in comparison with the original sigma model and it is in good agreement with recent lattice QCD results. The chiral phase transition is crossover in the case of chiral explicit breaking symmetry. The Goldstone boson theorem is studied, in which the meson mass is massive and pion mass is massless at lower temperatures. Our conclusions indicate to the present model successfully predicts the phase transition as well as in the original quark sigma model and the Nambu-Jona-Lasinio model. A new advantage of the present model, the critical temperature is in good agreement with lattice QCD results at zero chemical potential. A condition of spontaneous breaking symmetry is necessary to satisfy the Goldstone theorem in the chiral limit.

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Effect of a logarithmic mesonic potential on nucleon properties in the coherent-pair approximation

Cited by 21 publications

References 35 publications

A chiral quark-soliton model with broken scale invariance for nuclear matter

A chiral quark-soliton model with broken scale invariance for nuclear matter

Nucleon Properties Below the Critical Point Temperature

Chiral logarithmic sigma model at finite temperature and baryonic chemical potential

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