Statistical and Quantal Effects on Pairing Phase Transition in the Case of Hot Even–even Neutron-Rich Tin Isotopes

Kadi, H.; Haddouche, A.; Benhamouda, N.

doi:10.1142/s0218301313500341

Cited by 3 publications

(1 citation statement)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In recent years, many methods have been introduced to treat statistical fluctuations, principally to explain the persistence of the pairing beyond the critical temperature provided by the FTBCS method, and "S" shape in heat capacity was detected experimentally [2]− [4]. So, in the present work, one proposes to use the modified Lipkin-Nogami method (MLN) [5,6] to eliminate the quantal and statistical fluctuations inherent in the FTBCS approach. The method is applied to evaluation of the heat capacity.…”

Section: Introductionmentioning

confidence: 99%

Heat Capacity of the Tin Neutron-Rich Isotopes, Including Quantal and Statistical Fluctuations

Kadi¹,

Benhamouda²

2015

Proceedings of XIII Nuclei in the Cosmos — PoS(NIC XIII)

View full text Add to dashboard Cite

At finite temperature, very limited information exists on nuclear level density and thermodynamic properties for such nuclei. So, one proposes in the present work to study the phenomenon of pairing phase transition, by evaluating the heat capacity, in the case of Tin isotopes. So, as a first step, our study will include the ordinary Sn isotopes such as 116 ≤ A ≤ 119, it will then be extended to the neutron-rich nuclei such as 126 ≤ A ≤ 129. Theoretically, we use the modified Lipkin-Nogami method (MLN) to eliminate the quantal and statistical fluctuations inherent in the FTBCS approach. The obtained results are compared to the conventional FTBCS results and to the MBCS predictions as well as to the experimental data when available. The inclusion of quantal and statistical fluctuations induces S-shape in the heat capacity curves, which is in a good agreement with experimental data.

show abstract

Section: Introductionmentioning

confidence: 99%

Heat Capacity of the Tin Neutron-Rich Isotopes, Including Quantal and Statistical Fluctuations

Kadi¹,

Benhamouda²

2015

Proceedings of XIII Nuclei in the Cosmos — PoS(NIC XIII)

View full text Add to dashboard Cite

show abstract

Pairing phase transition in ^106,107,108Pd

Kadi

Benhamouda

2015

Int. J. Mod. Phys. E

Self Cite

View full text Add to dashboard Cite

The pairing phase transition is investigated in hot even-even and even-odd P d isotopes such as 106 ≤ A ≤ 108 in a framework of a microscopic approach that takes into account the statistical fluctuations. In this aim, one considers the Modified BCS method (MBCS). The latter is extended to the odd system case, where the blocking effect is included. The model was applied to the evaluation of the thermal properties such as the excitation energy, entropy and heat capacity. The obtained results are compared on one hand to the usual finite temperature BCS (FTBCS) method and on the other hand to the experimental data. The obtained results allow to show that the thermal fluctuations smooth out the superfluid-normal (SN) phase transition observed in the usual FTBCS results. Moreover, in the region where the pairing phase transition occurs, the experimental data of thermal properties are better reproduced when statistical fluctuations are considered in MBCS method instead of the FTBCS approach.

show abstract

Thermal properties of the Tin odd isotopes 117,119,121Sn

Kadi

Benhamouda

2016

Int. J. Mod. Phys. E

View full text Add to dashboard Cite

We propose to study the thermal properties of the odd isotopes of Tin: [Formula: see text]Sn. To this end, one used two methods to evaluate the properties of these elements. The first theoretical consideration uses a simple prescription to perform the calculation of these properties based on those of even–even neighboring isotopes, assuming the quasi-particle entropy extensivity. The even–even elements are treated as part of the Modified Lipkin–Nogami (MLN) method that allows to take into account the quantal and statistical fluctuations. The second theoretical approach consists of the generalization of the MLN formalism in the case of odd systems, by using the blocking technique. Then, this approach is applied to evaluate the thermal properties of the considered elements. The obtained results by both theoretical approaches are compared to the experimental data. The latter are deduced from the experimental level density within the canonical ensemble. It appears that the assumption of quasi-particle entropy extensivity at low excitation energy allows a simple and an effective treatment of thermal properties of odd nuclei. Indeed, this approach allows to give a good reproduction of experimental data in the particular in the region where the pairing transition occurs.

show abstract

Statistical and Quantal Effects on Pairing Phase Transition in the Case of Hot Even–even Neutron-Rich Tin Isotopes

Cited by 3 publications

References 40 publications

Heat Capacity of the Tin Neutron-Rich Isotopes, Including Quantal and Statistical Fluctuations

Heat Capacity of the Tin Neutron-Rich Isotopes, Including Quantal and Statistical Fluctuations

Pairing phase transition in ^106,107,108Pd

Thermal properties of the Tin odd isotopes 117,119,121Sn

Contact Info

Product

Resources

About

Statistical and Quantal Effects on Pairing Phase Transition in the Case of Hot Even–even Neutron-Rich Tin Isotopes

Cited by 3 publications

References 40 publications

Heat Capacity of the Tin Neutron-Rich Isotopes, Including Quantal and Statistical Fluctuations

Heat Capacity of the Tin Neutron-Rich Isotopes, Including Quantal and Statistical Fluctuations

Pairing phase transition in 106,107,108Pd

Thermal properties of the Tin odd isotopes 117,119,121Sn

Contact Info

Product

Resources

About

Pairing phase transition in ^106,107,108Pd