Landau-Ginzburg method applied to finite fermion systems: Pairing in nuclei

Kruse, Michael; Miller, H.G.; Plastino, A.; Fujita, Shigeji

doi:10.1140/epja/i2005-10133-0

Cited by 20 publications

(10 citation statements)

References 40 publications

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“…In recent experimental and theoretical studies the S-shape of the heat capacity curves is known as a signature of the pairing transition from a strongly paired states at low temperature to unpaired at higher temperature [10][11][12][13][14][15][16]. In order to specify the characteristics of the temperature dependance of the thermodynamic functions resulting from pair correlations, we have studied the behavior of the energy, the entropy and the spin cut-off parameter of level density-characterizing the distribution of angular momentum of states.…”

Section: Introductionmentioning

confidence: 99%

Pairing correlations and thermodynamical quantities inMo96,97

Kargar

2007

Phys. Rev. C

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The nuclear level densities of 96,97 Mo are calculated in the framework of superconducting theory. The parameters of nuclear level density are so chosen that the saddle point conditions are satisfied and the best fit to the experimental data yields. Then, using these parameters the energy, the entropy and the spin cut-off factor are calculated as a function of temperature. The curves show structures, reflecting the phase transition from a correlated to an uncorrelated phase. The critical temperature for quenching of pairing correlations is found at T c ∼ 0.7-0.9 MeV.

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Section: Introductionmentioning

confidence: 99%

Pairing correlations and thermodynamical quantities inMo96,97

Kargar

2007

Phys. Rev. C

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“…In this effort, we uncover some peculiar, temperature T dependent effects exhibited by finite N-fermion systems endowed with a fermion-fermion pairing interaction identical to the one employed in nuclear physics and reported in Equation (4.140) of the celebrated book by Ring and Schuck on nuclear theory [5]. Amongst several hundreds of accompanying references, see also, for example [6][7][8].…”

Section: Introductionmentioning

confidence: 86%

Temperature-Fermion Number Correlations in Finite Paired Systems

2020

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We investigate finite systems of N paired fermions, common in atomic nuclei, for example. These systems exhibit quantum mechanical features akin to those of superconductors. We discover, however, some specific N dependent effects that can not be attained in the thermodynamics limit of ordinary superconductivity. In particular, an important fact is uncovered: there is a strong correlation between the temperature T and the number of fermions N. A certain temperature increase ΔT produces, in thermal quantifiers (such as the entropy), quite different effects if N=4 or N=25. In fact, whether a given temperature value should be regarded as high or low can not be ascertained independent of the N value.

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“…This finite temperature parametrization has been used to identify the pairing phase transition in symmetric nuclear matter [11]. The same techniques have also been successfully employed to identify the remnants of the pairing phase transition in finite nuclei [12].…”

Section: The Excitation Energy Per Particle Is Given Bymentioning

confidence: 99%