Critical temperature for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>-particle condensation within a momentum-projected mean-field approach

Sogo, T.; Lazauskas, Rimantas; Röpke, G.; Schuck, Peter

doi:10.1103/physrevc.79.051301

Cited by 50 publications

(79 citation statements)

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“…[18]. Thus, the state has been proposed to be related to boson condensation of α particles in infinite nuclear matter [19][20][21]. The new interpretation of the Hoyle state as an α condensate has provoked many theoretical and experimental works on α-particle condensation phenomena in light nuclei [22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Microscopic study of4α-particle condensation with inclusion of resonances

et al. 2010

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The 4α condensate state for 16 O is discussed with the THSR (Tohsaki-Horiuchi-Schuck-Röpke) wave function which has α-particle condensate character. Taking into account a proper treatment of resonances, it is found that the 4α THSR wave function yields a fourth 0 + state in the continuum above the 4α-breakup threshold in addition to the three 0 + states obtained in a previous analysis. It is shown that this fourth 0 + ((0 + 4 )THSR) state has an analogous structure to the Hoyle state, since it has a very dilute density and a large component of α + 12 C(0 + 2 ) configuration. Furthermore, single-α motions are extracted from the microscopic 16-nucleon wave function, and the condensate fraction and momentum distribution of α particles are quantitatively discussed. It is found that for the (0 + 4 )THSR state a large α-particle occupation probability concentrates on a single-α 0S orbit and the α-particle momentum distribution has a δ-function-like peak at zero momentum, both indicating that the state has a strong 4α condensate character. It is argued that the (0 + 4 )THSR state is the counterpart of the 0 + 6 state which was obtained as the 4α condensate state in the previous 4α OCM (Orthogonality Condition Model) calculation, and therefore is likely to correspond to the 0 + 6 state observed at 15.1 MeV.

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Section: Introductionmentioning

confidence: 99%

Microscopic study of4α-particle condensation with inclusion of resonances

et al. 2010

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“…This is the Thouless criterion for the critical temperture of pairing [9] transposed to the quartet case. In Figure 4, we show the evolution of T α c as a function of the chemical potential (upper panel) and of density (lower panel) [10]. This figure shows very explicitly the excellent performance of our momentum projected mean field ansatz for the quartet order parameter.…”

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confidence: 83%

Quartet condensation in Fermi-systems. The Hoyle state in the 12C nucleus and life on earth

Schuck

2017

Eur. Phys. J. Spec. Top.

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Abstract. The possibility that a four component Fermi gas with attractive interaction can form a quartet condensate at low density is pointed out. It is discussed that for quartets only the Bose-Einstein Condensatio (BEC) phase exists and that the analogue to the weak coupling long coherence BCS phase of pairing is absent. Precurser phenomena in finite nuclei are presented. For instance, the present understanding of the structure of the Hoyle state in 12 C being the gateway for Carbon production in the universe is reviewed. It is pointed out that a crucial test of any theory is the good reproduction of the experimental results for the inelastic form factor from ground to the Hoyle state. The performances of the so-called THSR wavwe function are outlined confirming the α particle condensation hypothesis proposed 15 years back in [1].

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“…A good candidate for a cluster phase is certainly given by α particles. As a matter of fact, as with pairing, quartetting has started in infinite matter with the work of Röpke et al [52,54]. We have learned in Section 2 about the particular features of quartet condensation versus pair condensation.…”

Section: Nucleus Should Be Considered To Dissociate Into 3 α Clustementioning

confidence: 99%

“…In Fig. 6, we show the evolution of T α c as a function of the chemical potential (left panel) and of density (right panel) [54], see also [55] for the case of asymmetric matter. This figure shows very explicitly the excellent performance of our momentum projected mean field ansatz for the quartet order parameter.…”

Section: Alpha Particle Condensation In Infinite Mattermentioning

confidence: 99%

“…Note that we also investigated the critical temperature in asymmetric nuclear matter [4], where it is revealed that for highly imbalanced nuclear matter the -condensation has higher critical temperature and survives until higher density than in the case of deuteron BEC. [54]. The symbol FY stands for 'Faddeev-Yakubovsky' approach.…”

Section: Alpha Particle Condensation In Infinite Mattermentioning

confidence: 99%

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Alpha particle clusters and their condensation in nuclear systems

et al. 2016

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In this article we review the present status of α clustering in nuclear systems. An important aspect is first of all condensation in nuclear matter. Like for pairing, quartetting in matter is at the root of similar phenomena in finite nuclei. Cluster approaches for finite nuclei are shortly recapitulated in historical order. The α container model as recently been proposed by Tohsaki-Horiuchi-Schuck-Röpke (THSR) will be outlined and the ensuing condensate aspect of the Hoyle state at 7.65 MeV in 12 C investigated in some detail. A special case will be made with respect to the very accurate reproduction of the inelastic form factor from the ground to Hoyle state with the THSR description. The extended volume will be deduced. New developments concerning excitations of the Hoyle state will be discussed. After 15 years since the proposal of the α condensation concept a critical assessment of this idea will be given. Alpha gas states in other nuclei like 16 O and 13 C will be considered. An important aspect are experimental evidences, present and future ones.The THSR wave function can also describe configurations of one α particle on top of a doubly magic core. The cases of 20 Ne and 212 Po will be investigated.

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Critical temperature forα-particle condensation within a momentum-projected mean-field approach

Cited by 50 publications

References 35 publications

Microscopic study of4α-particle condensation with inclusion of resonances

Microscopic study of4α-particle condensation with inclusion of resonances

Quartet condensation in Fermi-systems. The Hoyle state in the 12C nucleus and life on earth

Alpha particle clusters and their condensation in nuclear systems

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