Nuclear equation of state from the nonlinear relativistic mean field theory

Waldhauser, B.; Maruhn, J. A.; Stöcker, H.; Greiner, Walter

doi:10.1103/physrevc.38.1003

Cited by 70 publications

(58 citation statements)

References 28 publications

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“…This allows a very good description of two important properties of nuclear matter, the compression modulus and the nucleon effective mass, which concerns the high-density behavior of the equation of state. However, some authors argue that the model suffers of a very serious problem: the constant c has negative values for several entries of M ⋆ and K, allowing the energy density to become unbounded from below for large values of the scalar meson mean field, leading to unphysical behaviour [18].…”

Section: Models With Derivative Couplingsmentioning

confidence: 99%

Neutron stars in a class of nonlinear relativistic models

et al. 2001

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We introduce in this work a class of relativistic models for nuclear matter and neutron stars which exhibits a parameterization, through mathematical constants, of the non-linear meson-baryon couplings. For appropriate choices of the parameters, it recovers current QHD models found in the literature: Walecka and the Zimanyi and Moszkowski models (ZM and ZM3). For other choices of the parameters, the new models give very interesting and new physical results.We have obtained numerical values for the maximum mass and radius of a neutron star sequence, red-shift, hyperon populations, radial distribution of particles, among other relevant static properties of these stellar objects. The phenomenology of neutron stars in ZM models is presented and compared to the phenomenology obtained in other versions of the Walecka model. We have found that the ZM3 model is too soft and predicts a very small maximum neutron star mass, ∼ 0.72M⊙. A strong similarity between the results of ZM-like models and those with exponential couplings is noted. Sensibility of the results to the specific choice of the values for the binding energy and saturation density is pointed out. Finally, we discuss the very intense scalar condensates found in the interior of neutron stars which may lead to negative effective masses. 26.60.+c, 21.65.+f, 95.30.Cq, 97.60.Jd

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Section: Models With Derivative Couplingsmentioning

confidence: 99%

Neutron stars in a class of nonlinear relativistic models

et al. 2001

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“…In addition it is well known from nuclear matter calculations [6][7][8][9][10][11] that in the temperature region under consideration (T < 20 MeV) nucleon-antinucleon pair production does not occur. Therefore we can neglect all antinucleon contributions.…”

Section: The Relativistic Thermal Thomas-fermi Approximation (Rttfa)mentioning

confidence: 99%

“…The densities of the two homogenous phases a and /3 are POt and P{3, respectively. To investigate the thermostatic properties of the finite system it is sufficient to look at the region ROt :5 r :5 R{3, since they are in principle known for the homogenous phases a (0 :5 r :5 ROt) and /3 (R{3 < r < 00) from nuclear matter calculations [6][7][8][9][10][11] (if there are no homogenous conditions in the bulk region of small nuclei, ROt = 0). In this region ROt < r < R{3 the transition between the "liquid" and the vapor phase takes place.…”

Section: Subtraction Mechanismmentioning

confidence: 99%

“…In the relativistic scheme several authors have used quantum statistical methods for infinite systems [1,[5][6][7][8][9][10][11], since one is strongly interested in the equation of state, which is of great importance for astrophysical problems. For finite systems various authors have investigated the thermal properties of hot nuclei within nonrelativistic models [12][13][14][15][16][17][18] because heavy ion collisions at intermediate bombarding energies Me V / A) give strong experimental evidence for the formation of highly excited nuclei [19].…”

Section: Introductionmentioning

confidence: 99%

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Relativistic Thomas-Fermi calculations of hot nuclei

Von-Eiff

Weigel

1992

Phys. Rev. C

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“…Calculations done with lower effective masses show instabilities for highly dense nuclear systems such as 12c [26] and unphysical behavior in nuclear matter [27] for a negative coefficient C in the standard nonlinear selfinteraction of the effective scalar field [28,29]. Note that for a smaller effective mass one always gets a negative coefficient C (for a discussion of the parameter space and its shortcomings, see [30]).…”

Section: Single-a Hypernuclei In the Rmfmmentioning

confidence: 99%

Metastable Exotic Multihypernuclear Objects

Schaffner¹,

Dover²,

Stoecker³

et al. 1994

NATO ASI Series

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Relativistic heavy ion collisions constitute a prolific source of hyperons: tens of hyperons per event are predicted at energies E 1 10 GeV/nucleon, providing a scenario for the formation of metastable exotic multihypernuclear objects. They may exhibit exceptional properties: bound neutral (e.g., 4 M : l , ''M&, pure A droplets, 8 A ) and even negatively charged composites objects with positive baryon number ie.g., 4~: 2 -, 6M2" 2A25 ) could be formed in rare events. Such negative nuclei can easily be identified in a magnetic spectrometer. They could be considerably more abundant than antinuclei of the same A. We use the relativistic meson-baryon field theory-which gives an excellent description of normal nuclear and single-A hypernuclear properties-to calculate the rich spectrum of such exotic objects, their stability, and their structure. We also find solutions for a large variety of bound short-lived nuclei (e.g., 8~2~2 "2 n , 2 n P ), which may decay strongly via formation of cascade ( E ) particles. Multi-E hypernuclei are also evaluated. A variety of potential candidates for such metastable exotic nuclei is presented. It turns out that the properties of such exotic multihypernuclear objects reveal quite similar features as the strangelet proposed as a unique signature for quark-gluon plasma formation in heavy ion collisions. PACS numberis): 25.75. +r, 21.80. + a

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Nuclear equation of state from the nonlinear relativistic mean field theory

Cited by 70 publications

References 28 publications

Neutron stars in a class of nonlinear relativistic models

Neutron stars in a class of nonlinear relativistic models

Relativistic Thomas-Fermi calculations of hot nuclei

Metastable Exotic Multihypernuclear Objects

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