Recent Progress in Quantum Hadrodynamics

Serot, Brian D.; Walecka, John Dirk

doi:10.1142/s0218301397000299

Cited by 1,001 publications

(1,575 citation statements)

References 412 publications

(748 reference statements)

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“…Relativistic mean-field models traditionally include an isodoublet nucleon field (ψ) interacting via the exchange of two isoscalar mesons (a scalar φ and a vector V µ ), one vector-isovector meson (b µ ), and the photon (A µ ) [8][9][10]. The non-interacting Lagrangian density for such a model may be written as follows:…”

Section: A Relativistic Mean-field Modelsmentioning

confidence: 99%

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Fattoyev

Piekarewicz

2011

Phys. Rev. C

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Theoretical uncertainties in the predictions of relativistic mean-field models are estimated using a chi-square minimization procedure that is implemented by studying the small oscillations around the chi-square minimum. By diagonalizing the matrix of second derivatives, one gains access to a wealth of information-in the form of powerful correlations-that would normally remain hidden. We illustrate the power of the covariance analysis by using two relativistic mean-field models: (a) the original linear Walecka model and (b) the accurately calibrated FSUGold parametrization. In addition to providing meaningful theoretical uncertainties for both model parameters and predicted observables, the covariance analysis establishes robust correlations between physical observables. In particular, we show that whereas the correlation coefficient between the slope of the symmetry energy and the neutron-skin thickness of Lead is indeed very large, a 1% measurement of the neutron radius of Lead may only be able to constrain the slope of the symmetry energy to about 30%.

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Section: A Relativistic Mean-field Modelsmentioning

confidence: 99%

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Fattoyev

Piekarewicz

2011

Phys. Rev. C

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“…We note that the equation of state calculation of Buchler and Coon [19] is close in strategy to the virial equation of state, but it takes into account Pauli blocking on the phase shifts and thus uses a model NN interaction. Moreover, there are a variety of Skyrme-type [20,21,22] and relativistic mean-field [23,24,25] parametrizations of the nuclear energy functional, which are used to calculate ground-state energies and densities of intermediate-mass and heavy nuclei. However, it is not clear what form to take for the energy functional for a gas of nucleons at low densities, where the system forms clusters and the binding energy per nucleon is density-independent with E/A ≈ −16 MeV.…”

Section: Introductionmentioning

confidence: 99%

Cluster formation and the virial equation of state of low-density nuclear matter

2006

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We present the virial equation of state of low-density nuclear matter composed of neutrons, protons and alpha particles. The virial equation of state is model-independent, and therefore sets a benchmark for all nuclear equations of state at low densities. We calculate the second virial coefficients for nucleon-nucleon, nucleon-alpha and alpha-alpha interactions directly from the relevant binding energies and scattering phase shifts. The virial approach systematically takes into account contributions from bound nuclei and the resonant continuum, and consequently provides a framework to include strong-interaction corrections to nuclear statistical equilibrium models. The virial coefficients are used to make model-independent predictions for a variety of properties of nuclear matter over a range of densities, temperatures and compositions. Our results provide constraints on the physics of the neutrinosphere in supernovae. The resulting alpha particle concentration differs from all equations of state currently used in supernova simulations. Finally, the virial equation of state greatly improves our conceptual understanding of low-density nuclear matter.

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“…Here we focus our attention on relativistic heavy ion collisions, that provide a unique terrestrial opportunity to probe the in-medium nuclear interaction in high density and high momentum regions. An effective Lagrangian approach to the hadron interacting system is extended to the isospin degree of freedom: within the same frame equilibrium properties (EoS, [ 3]) and transport dynamics [ 4,5] can be consistently derived.…”

Section: Introductionmentioning

confidence: 99%

Heavy Ion Collisions at Relativistic Energies: Testing a Nuclear Matter at High Baryon and Isospin Density

et al. 2007

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We show that the phenomenology of isospin effects on heavy ion reactions at intermediate energies (few AGeV range) is extremely rich and can allow a "direct" study of the covariant structure of the isovector interaction in the hadron medium. We work within a relativistic transport frame, beyond a cascade picture, consistently derived from effective Lagrangians, where isospin effects are accounted for in the mean field and collision terms. Rather sensitive observables are proposed from collective flows ("differential" flows) and from pion/kaon production (π − /π + , K 0 /K + yields). For the latter point relevant nonequilibrium effects are stressed. The possibility of the transition to a mixed hadron-quark phase, at high baryon and isospin density, is finally suggested. Some signatures could come from an expected "neutron trapping" effect.

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Recent Progress in Quantum Hadrodynamics

Cited by 1,001 publications

References 412 publications

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Accurate calibration of relativistic mean-field models: Correlating observables and providing meaningful theoretical uncertainties

Cluster formation and the virial equation of state of low-density nuclear matter

Heavy Ion Collisions at Relativistic Energies: Testing a Nuclear Matter at High Baryon and Isospin Density

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