Relativistic mean field theory for finite nuclei

Gambhir, Y. K.; Ring, P.; Thimet, A

doi:10.1016/0003-4916(90)90330-q

Cited by 938 publications

(1,171 citation statements)

References 66 publications

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“…The strong correlation in QHD models between the effective mass M * 0 of the nucleon in equilibrium nuclear matter and the strength of the spin-orbit force in nuclei has been well documented [11][12][13]9]. Typical values of M * 0 /M in successful models are roughly 0.6, which yield spin-orbit splittings close to experimental values (e.g., 6 MeV for p states in 16 O).…”

Section: Introductionmentioning

confidence: 67%

The nuclear spin-orbit force in chiral effective field theories

1998

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A compelling feature of relativistic mean-field phenomenology has been the reproduction of spin-orbit splittings in finite nuclei after fitting only to equilibrium properties of infinite nuclear matter. This successful result occurs when the velocity dependence of the equivalent central potential that leads to saturation arises primarily because of a reduced nucleon effective mass. The spin-orbit interaction is then also specified when one works in a fourcomponent Dirac framework. Here the nature of the spin-orbit force in more general chiral effective field theories of nuclei is examined, with an emphasis on the role of the tensor coupling of the isoscalar vector meson (ω) to the nucleon.

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Section: Introductionmentioning

confidence: 67%

The nuclear spin-orbit force in chiral effective field theories

1998

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“…This nonlinear version of the Walecka model has obtained not only more reasonable results for the incompressibility and the effective nucleon mass at nuclear matter saturation density but also has described various aspects of nuclear structure properties [9,10]. This model with a very limited number of parameters is also able to describe deformed nuclei [11,12] and for the first time the anomalous shifts in the isotopic chains of different nuclei has been explained [13,14]. As a consequence of all this work, a new parametrization for this non-linear version of the Walecka model has been proposed and gives a very good description not only for the properties of stable nuclei but also for the nuclei far from the valley of beta stability [15].…”

Section: Introductionmentioning

confidence: 89%

The Coester line in relativistic mean field nuclear matter

Delfino¹,

Malheiro²,

Timóteo³

et al. 2005

Braz. J. Phys.

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The Walecka model contains essentially two parameters that are associated with the Lorentz scalar (S) and vector (V ) interactions. These parameters are related to a two-body interaction consisting of S and V , imposing the condition that the two-body binding energy is fixed. We have obtained a set of different values for the nuclear matter binding energies (BN ) at equilibrium densities (ρo). We investigated the existence of a linear correlation between B N and ρ o , claimed to be universal for nonrelativistic systems and usually known as the Coester line, and found an approximate linear correlation only if V − S remains constant. It is shown that the relativistic content of the model, which is related to the strength of V − S , is responsible for the shift of the Coester line to the empirical region of nuclear matter saturation.

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“…We assume in this work, for the description of the nuclear matter, static meson fields, rotational and translational symmetry, charge conservation and no Coulomb field [9]. In the nuclear rest frame, consistently with the MFA, we haveρ =ψγ 0 ψ.…”

Section: Ddhft For Nuclear Matter In the Mean Field Approximationmentioning

confidence: 99%

On the density-dependent hadron field theory at finite temperature and its thermodynamical consistency

Avancini

Bracco

Chiapparini

et al. 2004

J. Phys. G: Nucl. Part. Phys.

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In this work we study in a formal way the density dependent hadron field theory at finite temperature for nuclear matter. The thermodynamical potential and related quantities, as energy density and pressure are derived in two different ways.We first obtain the thermodynamical potential from the grand partition function, where the Hamiltonian depends on the density operator and is truncated at first order. We then reobtain the thermodynamical potential by calculating explicitly the energy density in a Thomas-Fermi approximation and considering the entropy of a fermi gas. The distribution functions for particles and antiparticles are the output of the minimization of the thermodynamical potential. It is shown that in the mean field theory the thermodynamical consistency is achieved. The connection with effective chiral lagrangians with Brown-Rho scaling is discussed.

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Relativistic mean field theory for finite nuclei

Cited by 938 publications

References 66 publications

The nuclear spin-orbit force in chiral effective field theories

The nuclear spin-orbit force in chiral effective field theories

The Coester line in relativistic mean field nuclear matter

On the density-dependent hadron field theory at finite temperature and its thermodynamical consistency

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