2001
DOI: 10.1088/0954-3899/27/10/309
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In-medium nucleon-nucleon potentials in configuration space

Abstract: Based on the thermodynamic Green function approach two-nucleon correlations in nuclear matter at finite temperatures are revisited. To this end, we derive phase equivalent effective r-space potentials that include the effect of the Pauli blocking at a given temperature and density. These potentials enter into a Schrödinger equation that is the r-space representation of the Galitskii-Feynman equation for two nucleons. We explore the analytical structure of the equation in the complex k-plane by means of Jost fu… Show more

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Cited by 5 publications
(9 citation statements)
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“…The bound state vanishes because of the quasi-particle nature of the cluster. However, investigating the zeros of the two-body Jost function we found earlier that the quasi deuteron "survives" as a virtual bound state with different energies, depending on the densities above the dissociation line [34]. This is a similar state as the virtual 1 S 0 nucleon nucleon state at 70 keV.…”
Section: Cluster Propertiesmentioning
confidence: 79%
See 1 more Smart Citation
“…The bound state vanishes because of the quasi-particle nature of the cluster. However, investigating the zeros of the two-body Jost function we found earlier that the quasi deuteron "survives" as a virtual bound state with different energies, depending on the densities above the dissociation line [34]. This is a similar state as the virtual 1 S 0 nucleon nucleon state at 70 keV.…”
Section: Cluster Propertiesmentioning
confidence: 79%
“…The fact that no bound states are possible doesn't mean that there are no correlations. Previously we found by analyzing the Jost function of the deuteron that as the deuteron moves towards lower binding energies and eventually crosses the continuum line (B 2 = 0) it exists as a virtual bound state on the unphysical energy sheet [34]. In its turn this means that particular correlations in the continuum can form deuterons, if the density becomes low enough (for a given temperature).…”
Section: Cluster Distributionmentioning
confidence: 97%
“…So far the formalism presented is rather general and for a typical many-body Hamiltonian (with generic two-body interactions V 2 ) has been proven useful for various domains of many-body physics (see [9]) including the calculation of correlations in nuclear systems at finite densities and temperatures [11][12][13][14][15][16][17][18][19]. At chemical potentials µ and temperatures T = 1/(k B β) averaging is due to a grand canonical ensemble in equilibrium, O = Tr{ρ 0 O}, where ρ 0 denotes the corresponding statistical operator expressed in terms of light front operators.…”
mentioning
confidence: 99%
“…One can place bounds on the products of X couplings to the neutrino and electron in Eq. (1) from the cross sections of νe → νe andνe →νe scattering which have been determined in a number of low-energy experiments [18][19][20][21][22][23][24][25][26][27]. The accumulated data are generally consistent with SM expectations, but there is room left for new physics.…”
Section: Interactions and Cross Sectionsmentioning
confidence: 70%