The α-particle in nuclear matter

Beyer, Michael; Sofianos, S. A.; Kuhrts, C.; Röpke, G.; Schuck, Peter

doi:10.1016/s0370-2693(00)00908-4

Cited by 79 publications

(101 citation statements)

References 22 publications

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“…In the limit of small-amplitude fluctuations ρ = ρ 0 + δρ, Eqs. (16)(17) can be transformed into a diffusion equation:…”

Section: B Hydrodynamical Evolutionmentioning

confidence: 99%

“…It is predicted to lead to the presence of complex structures like the "pasta phases" occurring in the inner crust of neutron stars [11,12,13,14]. At lower densities and finite temperature, star matter may clusterize into light nuclei [15,16]. Around the core of supernovae, density fluctuations could have important effects on neutrino propagation [17], which is crucial for the description of supernova dynamics [18].…”

Section: Introductionmentioning

confidence: 99%

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Cluster formation in asymmetric nuclear matter: Semi-classical and quantal approaches

2008

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The nuclear-matter liquid-gas phase transition induces instabilities against finite-size density fluctuations. This has implications for both heavy-ion-collision and compact-star physics. In this paper, we study the clusterization properties of nuclear matter in a scenario of spinodal decomposition, comparing three different approaches: the quantal RPA, its semi-classical limit (Vlasov method), and a hydrodynamical framework. The predictions related to clusterization are qualitatively in good agreement varying the approach and the nuclear interaction. Nevertheless, it is shown that i) the quantum effects reduce the instability zone, and disfavor short-wavelength fluctuations; ii) large differences appear between the two semi-classical approaches, which correspond respectively to a collisionless (Vlasov) and local equilibrium description (hydrodynamics); iii) the isospin-distillation effect is stronger in the local equilibrium framework; iv) important variations between the predicted time-scales of cluster formation appear near the borders of the instability region.

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“…In the limit of small-amplitude fluctuations ρ = ρ 0 + δρ, Eqs. (16)(17) can be transformed into a diffusion equation:…”

Section: B Hydrodynamical Evolutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Cluster formation in asymmetric nuclear matter: Semi-classical and quantal approaches

2008

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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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“…The effective wave equation has been solved using separable potentials for A = 2 by integration. For A = 3, 4 we can use a Faddeev approach [7]. The shifts of binding energy can also be calculated approximately via perturbation theory.…”

Section: Nuclear Clusters In the Mediummentioning

confidence: 99%

“…(2), the effect of the medium on the properties of an α particle in meanfield approximation (i.e., for an uncorrelated medium) is produced by the Hartree-Fock self-energy shift and Pauli blocking. The shift of the α-like bound state has been calculated using perturbation theory [8] as well as by solution of the Faddeev-Yakubovski equation [7]. It is found that the bound states of clusters d, t, and h with A < 4 are already dissolved at a Mott density ρ Mott α ≈ ρ 0 /10, see Fig.…”

Section: Nuclear Clusters In the Mediummentioning

confidence: 99%

Alpha particle condensation in nuclear systems

Funaki¹

2006

AIP Conference Proceedings

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The onset of quartetting, i.e. α-particle condensation, in symmetric nuclear matter is studied with the help of an in-medium modified four nucleon equation. It is found that at very low density quartetting wins over pairing, because of the strong binding of the α-particles. The critical temperature can reach values up to around 6 MeV. Also the disappearance of α-particles with increasing density, i.e. the Mott transition, is investigated. In finite nuclei the Hoyle state, that is the 0 2 + of 12 C, is identified as an "α-particle condensate" state. It is conjectured that such states also exist in heavier nα-nuclei, like 16 O, 20 Ne, etc. For instance the 6-th 0 + state of 16 O at 15.1 MeV is identified from a theoretical analysis as being a strong candidate for an α condensate state. Exploratory calculations are performed for the density dependence of the α condensate fraction at zero temperature to address the suppression of the four-particle condensate below nuclear-matter density. Possible quartet condensation in other systems is discussed briefly.

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The α-particle in nuclear matter

Cited by 79 publications

References 22 publications

Cluster formation in asymmetric nuclear matter: Semi-classical and quantal approaches

Cluster formation in asymmetric nuclear matter: Semi-classical and quantal approaches

Microscopic study of4α-particle condensation with inclusion of resonances

Alpha particle condensation in nuclear systems

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