Mass spectrum of the temperature dependent Bethe-Salpeter equation for composites of quarks with a Coulomb plus a linear kernel

Malik, G. P.; Jha, Raman Kumar; Varma, Vijayalakshmi

doi:10.1007/s100500050096

Cited by 5 publications

(2 citation statements)

References 18 publications

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“…[17], and 5) in QCD to explain the masses of different quarkonium families and their de-confinement temperatures in Refs. [18,19].…”

Section: Dealing With Binary Scs Via Bcses Compared With Gbcsesmentioning

confidence: 99%

Some Implications of an Alternate Equation for the BCS Energy Gap

Malik¹,

Llano²

2013

JMP

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A set of generalized-BCS equations (GBCSEs) was recently derived from a temperature-dependent Bethe-Salpeter equation and shown to deal satisfactorily with the experimental data comprising the T_cs and the multiple gaps of a variety of high-temperature superconductors (SCs). These equations are formulated in terms of the binding energies W₁(T),W₂(T),… of Cooper pairs (CPs) bound via one- and more than one-phonon exchange mechanisms; they contain no direct reference to the gap/s of an SC. Applications of these equations so far were based on the observation that for elemental SCs |W₀₁|=△₀ at T = 0 inthe limit of the dimensionless BCS interaction parameter λ→0. Here △₀ is the zero-temperature gap whence it follows that the binding energy of a CP bound via one-phonon exchanges at T = 0 is 2|W₀₁|. In this note we carry out a detailed comparison between the GBCSE-based W₁(T) and the BCS-based energy gap △(T) for all 0≤T≤T_c and realistic, non-vanishingly-small values of λ. Our study is based on the experimental values of T_c Debye temperature , and ?₀ of several selected elements including the “bad actors” such as Pb and Hg. It is thus established that the equation for W₁(T) provides a viable alternative to the BCS equation for △(T). This suggests the use of, when required, the equation for W₂(T) which refers to CPs bound via two-phonon exchanges, for the larger of the two T-dependent gaps of a non-elemental SC. These considerations naturall...

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“…[17], and 5) in QCD to explain the masses of different quarkonium families and their de-confinement temperatures in Refs. [18,19].…”

Section: Dealing With Binary Scs Via Bcses Compared With Gbcsesmentioning

confidence: 99%

Some Implications of an Alternate Equation for the BCS Energy Gap

Malik¹,

Llano²

2013

JMP

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“…where H c (T ) is the critical field at T ; c) finite-T behavior [23,24,[50][51][52][53] of a class of relativistic field theories (RFTs) to address the question of restoration of a symmetry which at T = 0 is broken either dynamically or spontaneously; d) the Wick-Cutkosky model [54] in an RFT; 5) legions of unidentified solar-emission lines [55]; e) QCD to explain [56,57] the masses of different quarkonium families and their deconfinement temperatures; and most recently, as was mentioned above, f) in a comparative study [46] of the experimental features of the Bose-Einstein condensates in several species of bosonic atomic gases.…”

Section: Introductionmentioning

confidence: 99%

Weakly interacting Bose-Einstein condensates in temperature-dependent generic traps

Castellanos¹,

Briscese

Grether

et al. 2015

Jetp Lett.

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The shift in condensation temperature caused by interactions is studied up to second order in the s-wave scattering length in a Bose-Einstein condensate trapped in a temperature-dependent three-dimensional generic potential. With no assumptions other than the mean-field approach and semiclassical approximations it is shown that the inclusion of a temperature-dependent trap improves the empirical values of the numerical parameters compared to those obtained in previous reports on the temperature shift.

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Flavor quark at high temperature from a holographic model

et al. 2005

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Gauge theory with light flavor quark is studied by embedding a D7 brane in a deconfinement phase background newly constructed. We find a phase transition by observing a jump of the vacuum expectation value of quark bilinear and also of the derivative of D7 energy at a critical temperature. For the model considered here, we also study quark-antiquark potential to see some possible quark-bound states and other physical quantities in the deconfinement phase. † gouroku@dontaku.fit.ac.jp

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Mass spectrum of the temperature dependent Bethe-Salpeter equation for composites of quarks with a Coulomb plus a linear kernel

Cited by 5 publications

References 18 publications

Some Implications of an Alternate Equation for the BCS Energy Gap

Some Implications of an Alternate Equation for the BCS Energy Gap

Weakly interacting Bose-Einstein condensates in temperature-dependent generic traps

Flavor quark at high temperature from a holographic model

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