Finite-temperature pairing re-entrance in the drip-line nucleus 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Ni</mml:mi><mml:mprescripts /><mml:none /><mml:mn>48</mml:mn></mml:mmultiscripts></mml:math>

Belabbas, M.; Li, Jia Jie; Margueron, J.

doi:10.1103/physrevc.96.024304

Cited by 11 publications

(15 citation statements)

References 60 publications

(141 reference statements)

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“…Note that a similar phenomenon (referred to as "re-entrance") has also been observed in the context of small superconducting systems, where in the case of an odd number of particles the gap increases with T near T = 0 [259]. Furthermore, this type of phenomenon arises in systems with spin-zero pairing, when two fluids (nuclei and nuclear matter, in the nuclear context) occupy different volumes see [260][261][262].…”

Section: Homogeneous Phasementioning

confidence: 67%

Superfluidity in nuclear systems and neutron stars

2019

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Nuclear matter and finite nuclei exhibit the property of superfluidity by forming Cooper pairs. We review the microscopic theories and methods that are being employed to understand the basic properties of superfluid nuclear systems, with emphasis on the spatially extended matter encountered in neutron stars, supernova envelopes, and nuclear collisions. Our survey of quantum many-body methods includes techniques that employ Green functions, correlated basis functions, and Monte Carlo sampling of quantum states. With respect to empirical realizations of nucleonic and hadronic superfluids, this review is focused on progress that has been made toward quantitative understanding of their properties at the level of microscopic theories of pairing, with emphasis on the condensates that exist under conditions prevailing in neutron-star interiors. These include singlet S-wave pairing of neutrons in the inner crust, and, in the quantum fluid interior, singlet-S proton pairing and triplet coupled P -F -wave neutron pairing. Additionally, calculations of weak-interaction rates in neutron-star superfluids within the Green function formalism are examined in detail. We close with a discussion of quantum vortex states in nuclear systems and their dynamics in neutron-star superfluid interiors. PACS. 97.60.Jd Neutron stars -21.65.+f Nuclear matter -47.37.+q Hydrodynamic aspects of superfluidity; quantum fluids -67.85.+d Ultracold gases, trapped gases -74.25.Dw Superconductivity phase diagrams Contents arXiv:1802.00017v4 [nucl-th] 26 Sep 2019 emerge in the interaction part of the Hamiltonian when evaluating Eq. (5) in terms of Bogolyubov operators vanish. Such terms would account for fluctuations in the system, but are beyond the scope of the present mean-field treatment. 4 Note that the variation δ(E − µN )/δn p,↑ , with up and vp held constant, yields the quantity Ep, confirming its interpretation. Armen Sedrakian, John W. Clark: Superfluidity in nuclear systems and neutron stars 5

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Section: Homogeneous Phasementioning

confidence: 67%

Superfluidity in nuclear systems and neutron stars

2019

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“…The calculations of the neutron pairing gap obtained within the HFB calculation for near drip line 176 Sn (by using different versions of the Skyrme force), beyond drip line 180 Sn (by using the D1S Gogny force) nuclei in [97] (figure 31), and those within both HFB and RHFB [98] (by using different versions of the Skyrme interaction and effective Lagrangian) (figure 32) have suggested the pairing reentrance phenomenon at finite temperature. For example, in [98], it is clearly seen that the proton pairing gap of a doubly magic nucleus 48 Ni is zero at T T c1 , increases to reach a maximum at T > T c1 , and decreases to vanish at T T c2 (figure 32). The values of T c1 and T c2 are found to be around 0.08-0.2 MeV and 0.7-0.9 MeV, respectively.…”

Section: Finite-temperature Pairing Reentrance In Even-even Nucleimentioning

confidence: 98%

Pairing in excited nuclei: a review

2019

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The present review summarizes the recent studies on the thermodynamic properties of pairing in many-body systems including superconductors, metallic nanosized clusters and/or grains, solid-state materials, focusing on the excited nuclei, that is nuclei at finite temperature and/ or angular momentum formed via heavy-ion fusion, α-induced fusion reactions, or inelastic scattering of light particles on heavy targets. Because of the finiteness of the systems, several interesting effects of pairing such as nonvanishing pairing gap, smoothing of superfluidnormal phase transition, first and second order phase transitions, pairing reentrance, etc, will be discussed in detail. Influences of exact and approximate thermal pairing on some nuclear properties such as temperature-dependent width of the giant dipole resonance, total level density, and radiative strength function of the γ-rays emission will be also analyzed. Finally, the first experimental evidence of the pairing reentrance phenomenon in a 104 Pd nucleus as well as its solid-state counterpart of ferromagnets under strong magnetic field will be presented.

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“…This structure allows a recent phenomenon to occur in 48 Si, the so-called finite temperature pairing reentrance. In addition to 48 Ni [69] and 176 Sn [70], 48 Si can be the third candidate for such phenomenon. To show this, we employ the finite-temperature RHFB approach recently developed in Ref.…”

Section: (A)mentioning

confidence: 99%

48Si: An atypical nucleus?

Long

Margueron

et al. 2019

Physics Letters B

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Based on the relativistic Hartree-Fock formalism and one of the most advanced Lagrangian PKA1, we investigate the properties of the exotic nucleus 48 Si. We found that 48 Si may be an atypical nucleus characterized by i) the onset of doubly magicity, ii) its location at the drip line, iii) the presence of a doubly semibubble (central depletion of the neutron and proton density profiles) in the ground state, and iv) the occurrence of pairing reentrance at finite temperature. These phenomenons are not independent from each others. We illustrate for instance that the doubly semibubble reduces the spin-orbit splitting of low-orbitals and modifies the splitting of relevant pseudospin partners, favoring N = 34 as a new magic number for neutron rich nuclei. Since 48 Si is predicted doubly magic, it could have an extra stability which puts it at the drip line. Moreover, 48 Si may have interesting excited states which may induce pairing reentrance at finite temperature. While not being new, these phenomenons are found to serendipitously occur together in 48 Si, from our theoretical calculation. Theoretical nuclear modelings are known to be poorly predictive in general, and we asset our confidence in the prediction of our modeling on the fact that the predictions of PKA1 in various regions of the nuclear chart have systematically been found correct and more specifically in the region around 48 Si, our approach correctly reproduce the known features of neighboring nuclei. Whether our predictions are confirmed or not, 48 Si provides a concrete benchmark for the understanding of the nature of nuclear forces.

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Finite-temperature pairing re-entrance in the drip-line nucleus Ni48

Cited by 11 publications

References 60 publications

Superfluidity in nuclear systems and neutron stars

Superfluidity in nuclear systems and neutron stars

Pairing in excited nuclei: a review

48Si: An atypical nucleus?

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