Three-body properties in nuclear matter at thermal equilibrium

Beyer, Michael; Schadow, W.; Kuhrts, C.; Röpke, G.

doi:10.1103/physrevc.60.034004

Cited by 29 publications

(57 citation statements)

References 26 publications

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“…Utilizing resolvents the Dyson-type equation for a particular cluster can be rewritten as AGS-type equation [26,27,28,29] with an effective Hamiltonian. This has been shown previously for the nucleon deuteron reaction [21] the three-nucleon bound state [16] and the α-particle [17]. In this section we briefly repeat the relevant formulas to introduce our notation.…”

Section: In-medium Few-body Equationsmentioning

confidence: 99%

“…In an uncorrelated medium of quasi-particles the equal time constraint systematically leads to Dyson equations for clusters with a fixed number of particles. They include the self energy corrections and the Pauli blocking and are rearranged as resolved equations to use the Alt-Grassberger-Sandhas (AGS) formalism to solve the respective few-body equations which has been done for the three-and four-nucleon system in [21,16,17]. Similar equations to treat the in-medium three-body system have been proposed previously in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…To generalize the equation of state for a Fermi system that includes correlations the nuclear matter density n = n(µ, T ) as a function of the chemical potential µ and temperature T can be rearranged in an uncorrelated part n free and a correlated one n corr [25,16],…”

Section: Statistical Modelmentioning

confidence: 99%

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Light clusters in nuclear matter of finite temperature

et al. 2004

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Abstract. We investigate properties and the distribution of light nuclei (A ≤ 4) in symmetric nuclear matter of finite temperature within a microscopic framework. For this purpose we have solved few-body Alt-Grassberger-Sandhas type equations for quasi-nucleons that include self-energy corrections and Pauli blocking in a systematic way. In a statistical model we find a significant influence in the composition of nuclear matter if medium effects are included in the microscopic calculation of nuclei. If multiplicities are frozen out at a certain time (or volume), we expect significant consequences for the formation of light fragments in a heavy ion collision. As a consequence of the systematic inclusion of medium effects the ordering of multiplicities becomes opposite to the law of mass action of ideal components. This is necessary to explain the large abundance of α-particles in a heavy ion collision that are otherwise largely suppressed in an ideal equilibrium scenario. PACS

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Section: In-medium Few-body Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Light clusters in nuclear matter of finite temperature

et al. 2004

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“…The solution of the few nucleon problem in the low-density limit can be found from variational, Faddeev [21,22], Green's-function Monte Carlo [20], etc., approaches. We use a variational approach with the Jastrow ansatz [15] for ψ νP (1 .…”

Section: Light Nuclei In Matter: the In-medium Effective Schrödinger mentioning

confidence: 99%

Parametrization of light nuclei quasiparticle energy shifts and composition of warm and dense nuclear matter

Röpke

2011

Nuclear Physics A

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Correlations and the formation of bound states (nuclei) are essential for the properties of nuclear matter in equilibrium as well as in nonequilibrium. In a quantum statistical approach, quasiparticle energies are obtained for the light elements that reflect the influence of the medium. We present analytical fits for the quasiparticle energy shifts of light nuclei that can be used in various applications. This is a prerequisite for the investigation of warm and dense matter that reproduces the nuclear statistical equilibrium and virial expansions in the low-density limit as well as relativistic mean field and Brueckner Hartree-Fock approaches near saturation density.

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“…A comparison of the magnitudes of the binding energies of the diquark and the nucleon can give some idea of the relevance of these degrees of freedom. Very recently, Beyer et al have studied a similar clustering problem for three nucleons in nuclear matter [13].…”

Section: Introductionmentioning

confidence: 99%