Bounce solutions and the transition to thermal hopping in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>φ</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>theory

Widyan, Hatem; Mukherjee, Avijit; Panchapakesan, N.; Saxena, Reena

doi:10.1103/physrevd.59.045003

Cited by 10 publications

(18 citation statements)

References 18 publications

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“…In addition, quark masses are obtained from Ref. [27]. We note that calculation of masses of charmonium are in a good agreement with experimental data and are improved in comparison with Refs.…”

Section: Results and Discussion [51] Quarkonium Massessupporting

confidence: 72%

“…We note that calculation of masses of charmonium are in a good agreement with experimental data and are improved in comparison with Refs. [16,17,19,20,22] by calculating total error in comparison with experimental data. In Table (2), we note the spectra masses of bottomonium from states 1S to 4S using Eq.…”

Section: Results and Discussion [51] Quarkonium Massesmentioning

confidence: 99%

“…(57) are in agreement with experimental data, and the present calculations are improved in comparison with Refs. [16][17]18,20] in which the total error is reduced in comparison with these works. In Table (3), we calculate mass spectra of meson b ̅ mesons from using 2m= + part of Eq.…”

Section: Results and Discussion [51] Quarkonium Massesmentioning

confidence: 99%

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Trigonometric Rosen–Morse Potential as a Quark–Antiquark Interaction Potential for Meson Properties in the Non-relativistic Quark Model Using EAIM

Abu‐Shady

Ezz-Alarab

2019

Few-Body Syst

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Trigonometric Rosen-Morse potential is suggested as the quarkantiquark interaction potential for studying the thermodynamic properties and the masses of heavy and heavy-light mesons. For this purpose, Nradial Schr dinger equation is analytically solved using an exact analytical iteration method (EAIM). The eigenvalues of energy and corresponding wave functions are obtained in the N-dimensional space. The present results are applied for calculating the mass of heavy mesons such as charmonium c ̅, bottomonium b ̅ , b ̅ and c ̅ mesons and thermodynamic properties such as the mean-internal energy, the specific heat, the free energy, and the entropy. The effect of dimensional number is studied on the meson masses. A comparison is studied with other works and experimental data. The present potential provides satisfying results in comparison with other works and experimental data.

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Section: Results and Discussion [51] Quarkonium Massessupporting

confidence: 72%

Section: Results and Discussion [51] Quarkonium Massesmentioning

confidence: 99%

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Trigonometric Rosen–Morse Potential as a Quark–Antiquark Interaction Potential for Meson Properties in the Non-relativistic Quark Model Using EAIM

Abu‐Shady

Ezz-Alarab

2019

Few-Body Syst

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“…A field theoretic system, consisting of a single scalar field with a ϕ symmetry breaking term, has been studied recently by Ferrera [8] and also by us. We have also investigated in detail the nature of the phase transition for single scalar field theory with ϕ 3 symmetry breaking [9]. Our numerical results show that, for small values of the symmetry-breaking coupling f , the transition from the quantum regime to the thermal hopping regime is firstorder.…”

Section: Introductionmentioning

confidence: 95%

Analytical approach to the transition to thermal hopping in the thin- and thick-wall approximations

Widyan¹,

Mukherjee²,

Panchapakesan³

et al. 2000

Phys. Rev. D

Self Cite

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The nature of the transition from the quantum tunneling regime at low temperatures to the thermal hopping regime at high temperatures is investigated analytically in scalar field theory. An analytical bounce solution is presented, which reproduces the action in the thin-wall as well as thick-wall limits. The transition is first order for the case of a thin wall while for the thick wall case it is second order.

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“…Furthermore, the solution of the Schrödinger equation is of great importance in particle, nuclear and chemical physics amongst other. Its solution can be used to investigate the mass spectra, binding energies, decay rates transition properties and thermodynamic functions [16][17][18]. In quantum mechanics only few physical systems can be solved exactly in a closed form, for example the harmonic oscillator and Coulomb potential [19][20], pseudoharmonic and Kratzer potential [21][22][23] etc.…”

Section: Introductionmentioning

confidence: 99%

Superstatistics of Schrödinger equation with pseudo-harmonic potential in external magnetic and Aharanov-Bohm fields

Ikot

Okorie

Osobonye

et al. 2020

Heliyon

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In this work, the thermodynamic property of pseudoharmonic potential in the presence of external magnetic and AB fields is investigated. We used effective Boltzmann factor within the superstatistics formalism to obtain the thermodynamic properties such as Helmholtz free energy (F), Internal energy (U), entropy(S) and specific heat (C) of the system. In addition, we discuss the result of the thermodynamic properties of some selected diatomic molecules of 2 2 2 ,, N Cl I and CH using their experimental spectroscopic parameters and that of the variation of the deformation parameter of 0,0.3,0.7 q  . We also illustrated with some graphs for clarity of our results in both cases.

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Bounce solutions and the transition to thermal hopping inφ4theory

Cited by 10 publications

References 18 publications

Trigonometric Rosen–Morse Potential as a Quark–Antiquark Interaction Potential for Meson Properties in the Non-relativistic Quark Model Using EAIM

Trigonometric Rosen–Morse Potential as a Quark–Antiquark Interaction Potential for Meson Properties in the Non-relativistic Quark Model Using EAIM

Analytical approach to the transition to thermal hopping in the thin- and thick-wall approximations

Superstatistics of Schrödinger equation with pseudo-harmonic potential in external magnetic and Aharanov-Bohm fields

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