Exact and approximate ensemble treatments of thermal pairing in a multilevel model

Hưng, Nguyễn Quang; Dang, Nguyen Dinh

doi:10.1103/physrevc.79.054328

Cited by 24 publications

(35 citation statements)

References 41 publications

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“…The exact ground-state energy is obtained when the odd particle occupies the highest level, which is located just above the Fermi surface, that is the level k = k 0 . The extension of the exact solutions to finite-temperature is often carried out by using the CE, whose partition function is constructed based on the exact eigenvalues E (ex) S in the form [15] …”

Section: Finite-temperature Extension Of Exact Solutions For Odd Smentioning

confidence: 99%

Improved treatment of blocking effect at finite temperature

2016

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The blocking effect caused by the odd particle on the pairing properties of systems with an odd number of fermions at finite temperature interacting via the monopole pairing force is studied within several approximations. The results are compared with the predictions obtained by using the exact solutions of the pairing Hamiltonian. The comparison favors the approximation with the odd particle occupying the top level, which is the closest to the Fermi surface and whose occupation number decreases with increasing temperature.

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Section: Finite-temperature Extension Of Exact Solutions For Odd Smentioning

confidence: 99%

Improved treatment of blocking effect at finite temperature

2016

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“…The latter, however, have been shown to be quite significant in finite small systems [2][3][4][5][6][7]. They smoothed out the superfluid-normal (SN) phase transition, which is a typical property of infinite systems.…”

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confidence: 99%

“…Moreover, the exact eigenvalues of the pairing problem [8] are usually embedded into the CE and MCE [7,9]. But this task is impracticable for particle numbers N > 14 in the case of half-filled doubly-folded multilevel model with N = Ω (Ω is number of single-particle levels).…”

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confidence: 99%

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Canonical and microcanonical ensemble descriptions of thermal pairing within BCS and quasiparticle random-phase approximation

Hưng

Dang

2010

Phys. Rev. C

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We propose a description of pairing properties in finite systems within the canonical and microcanonical ensembles. The approach is derived by solving the BCS and self-consistent quasiparticle random-phase approximation with the Lipkin-Nogami particle-number projection at zero temperature. The obtained eigenvalues are embedded into the canonical and microcanonical ensembles.The results obtained are found in quite good agreement with the exact solutions of the doublyfolded equidistant multilevel pairing model as well as the experimental data for 56 Fe nucleus. The merit of the present approach resides in its simplicity and its application to a wider range of particle number, where the exact solution is impracticable.

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Temperature dependence of nuclear properties: A systematic study along the isotopic and isotonic chains of nuclei

Yüksel

2021

Nuclear Physics A

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Exact and approximate ensemble treatments of thermal pairing in a multilevel model

Cited by 24 publications

References 41 publications

Improved treatment of blocking effect at finite temperature

Improved treatment of blocking effect at finite temperature

Canonical and microcanonical ensemble descriptions of thermal pairing within BCS and quasiparticle random-phase approximation

Temperature dependence of nuclear properties: A systematic study along the isotopic and isotonic chains of nuclei

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