Vacuum effects of non-nucleonic baryons in nuclear matter

The role of vacuum properties of non-nucleonic baryons in hadronic field theories is discussed. We use an extension of Walecka's σω model treated at the mean-field level. Due to energy considerations the non-nucleonic baryons yield only vacuum effects near normal nuclear matter density. We study the effect of Roper resonance vacuum fluctuations on the nuclear matter equation of state and Coulomb sum. In addition we perform a schematic calculation of the effect of Δ-isobar vacuum fluctuations on the nuclear matter equation of state. Although the Roper resonance produces only a marginal change in the Coulomb sum, the Roper and delta may produce a significant softening of the equation of state. Thus these normally neglected degrees of freedom might serve an important role.     

Nuclear matter theory revisited

Claiming that the usual Fermi sea of plane waves Hartree-Fock vacuum state cannot be the true (or stablest) ground vacuum state for nuclear matter, since it violates a monotonicity requirement, we discuss some recent attempts in facing the problem of how to find such a (zero-order) state. The one-dimensional Fermi gas with zero- and finite-range interactions, as well as self-consistent alpha-clustering effects in three-dimensional nuclear matter, are employed as examples to illustrate the concepts involved in such a search.     

Cryptobaryonic dark matter

It is proposed that dark matter could consist of compressed collections of atoms (or metallic matter) encapsulated into, for example, 20 cm big pieces of a different phase. The idea is based on the assumption that there exists at least one other phase of the vacuum degenerate with the usual one. Apart from the degeneracy of the phases we only assume standard model physics. The other phase has a Higgs vacuum expectation value appreciably smaller than in the usual electroweak vacuum. The balls making up the dark matter are very difficult to observe directly, but inside dense stars may expand absorbing the star and causing huge explosions (gamma ray bursts). The ratio of dark matter to ordinary matter is expressed as a ratio of nuclear binding energies and predicted to be about 5.     

Recent progress on dense nuclear matter in skyrmion approaches

The Skyrme model provides a novel unified approach to nuclear physics. In this approach, single baryon, baryonic matter and medium-modified hadron properties are treated on the same footing. Intrinsic density dependence (IDD) reflecting the change of vacuum by compressed baryonic matter figures naturally in the approach. In this article, we review the recent progress on accessing dense nuclear matter by putting baryons treated as solitons, namely, skyrmions, on crystal lattice with accents on the implications in compact stars.     

Relativistic many-body studies of high density matter

A fully relativistic quantum many-body theory is applied to the study of a model high-density matter which qualitatively describes known nuclear matter. Results pertaining to the equation of state of neutron matter, neutron star mass, vacuum fluctuation corrections, collective modes, exchange energies, and correlation energies are reported.     

Charge density of the fermionic vacuum

We examine the properties of the matter vacuum in the absence of fermion-photon interactions. We calculate the spatial distribution of the vacuum’s charge density associated with model nuclear interactions and show that even in the absence of photons, the fermionic vacuum can screen off the Coulomb field around a nucleus. For force fields that vary on spatial scales larger than the electron’s Compton wavelength, the resulting charge density is proportional to the spatial derivative of the nuclear force field. As a result we can estimate the electric permeability of the one-dimensional fermionic vacuum to be 5.1 × 10^?7.     

Influence of Self-Interaction ofσ Meson to the Equation of State of Nuclear Matter

In the relativistic σ-ωmodel, the influence of the parameters in self-interaction of a meson to the equation of state of normal nuclear matter, especially, to incompressibility, effective mass, and coupling constants, is studied in detail. We find that these parameters have an intense relationship to the property of nuclear matter. At the same time , we study the relation between the binding energy and pressure of relativestic △-resonance nuclear matter and temperature using using above results in the relativistic σ-ω-π model,and it is interesting to compare it to our prior work. In all these studies, the vacuum fluctuation on nucleon, △-isobar, and σmeson is considered.     

Saturation properties of nuclear matter in a relativistic mean field model constrained by the quark dynamics

We have built an effective Walecka-type hadronic Lagrangian in which the hadron masses and the density dependence of the coupling constants are deduced from the quark dynamics using a Nambu–Jona-Lasinio model. In order to stabilize nuclear matter an eight-quark term has been included. The parameters of this Nambu–Jona-Lasinio model have been determined using the meson properties in the vacuum but also in the medium through the omega meson mass in nuclei measured by the TAPS Collaboration. Realistic properties of nuclear matter have been obtained.     

Hot metastable state of abnormal matter in relativistic nuclear field theory

Because of their non-linearity, the field equations of relativistic nuclear field theory admit of additional solutions besides the normal state of matter. One of these is a finite-temperature abnormal phase. Over a narrow range in temperature, matter can exist in the abnormal phase at zero pressure. This is a hot metastable state, for which there is a barrier against decay, because the field configuration is different than in the normal state, the baryon masses are far removed from their vacuum masses, there is an abundance of pairs also far removed from their vacuum masses, and a correspondingly high entropy. The abundance of baryon-antibaryon pairs is the glue that holds this matter together. The signals associated with this novel state are quite unusual. A fragment of such matter will cool by emitting a spectrum of black-body radiation, consisting principally of photons, lepton pairs and pions, rather than by baryon emission, because the latter are far removed from their vacuum masses. If produced at the upper end of its temperature range, a large fraction of the original energy, more than half in the examples studied here, is radiated in this way. The baryons and light elements produced in the eventual decay, after the abnormal matter has cooled to a domain where its pressure becomes positive, will account for only a fraction of the original energy. The energy domain of this state depends sensitively on the coupling constants, and within a reasonable range as determined by nuclear matter properties, can lie in the range of GeV to tens of GeV per nucleon.     

QMC模型的介质相关参数的确定及核物质中的夸克凝聚

通过把QMC模型参数展到σ场的一阶项来引入模型参数的核介质效应,并利用核子袋在介质中的平衡条件自洽地确定展开系数.计算结果表明袋参数及核子半径受介质影响较大,而零点运动参数则保持不变.在此基础上,分析了介质相关的模型参数对核物质状态方程及夸克凝聚的影响.     

The quark-nucleon phase diagram and quantum chromodynamics

The temperature dependence of a conjectured first-order phase transition between nuclear matter and quark-gluon matter is calculated for temperatures below T = 200 MeV. On the nuclear side a rather successful meson-nucleon mean field theory is applied while quark-gluon matter at large densities and finite temperatures is described perturbatively by quantum chromodynamics. Outside the finite volume of hot and dense quark-gluon matter the physical vacuum is characterized, by the newly determined bag parameter Λ_B = 235 MeV. We observe a dramatic drop in the density of nuclear matter at the phase transition point as the temperature increases, if the scale parameter Λ of QCD is chosen as Λ = 100 MeV. For larger values of Λ the effect is less pronounced. Further work is required to settle this problem.     

Scalar and pseudoscalar QCD susceptibilities in nuclei

We study the staticscalar and pseudoscalar susceptibilities of QCD in the nuclear medium. We show that they become much closer than in the vacuum at normal nuclear matter density, a strong signal of the partial restoration of chiral symmetry.Received: 30 September 2002, Published online: 22 October 2003PACS: 24.85. + p Quarks, gluons, and QCD in nuclei and nuclear processes - 11.30.Rd Chiral symmetries - 12.40.Yx Hadron mass models and calculations - 13.75.Cs Nucleon-nucleon interactions (including antinucleons, deuterons, etc.)     

Fermi sea effects on pion and kaon properties in the Nambu-Jona-Lasinio model

We study modifications of hadronic properties in dense nuclear and neutron matter, in the context of a generalized three-flavor Nambu-Jona-Lasinio model, focussing mainly on Fermi sea effects. In symmetric nuclear matter, we observe the splitting between K^± and the occurrence of a low-lying K⁻ branch at baryonic densities around 0.4 times normal nuclear matter density ϱ₀. This branch is not significantly affected by the inclusion of strange matter in the medium while the flavor asymmetry is preserved. A similar π⁺ branch is found in neutron matter at neutron densities around 0.3ϱ₀. These low-lying modes are particle-hole excitations of the Fermi sea and decrease smoothly with density. In any case, the vacuum does not exhibit signs of instability associated with boson condensation.     

ZM模型中零点能修正对核子有效质量的影响

基于ZM模型,讨论了真空零点能的贡献.认为真空零点能不能简单地丢掉,所以零点能中与温度相关的有限部分被分离了出来,并具体讨论了在核物质中这一零点能修正对核子有效质量的影响,发现在高温时它有着非平庸的贡献.     

Saturating chiral field theory for the study of nuclear matter in the relativistic Hartree approximation

The bulk properties of nuclear matter are studied by considering a chirally invariant lagrangian which contains an interaction term involving scalar and vector mesons, of the form (apart from a numerical factor) used by Boguta. The calculation is performed in the relativistic Hartree approximation which includes the baryon vacuum fluctuation correction.     

Vacuum polarization and the Coulomb sum rule

The longitudinal response function for quasielastic electron scattering from nuclear matter is calculated in a relativistic random phase approximation to the Walecka model including vacuum polarization effects. The Walecka model has nucleons interacting with isoscalar sigma and omega meson fields. The change in the vacuum polarization response of the Dirac sea because of the decrease in the relativistic effective mass of the nucleons leads to a thirty percent decrease in the energy integrated longitudinal response function (Coulomb sum rule). This change is isoscalar. Therefore, the transverse response, which is dominated by the isovector anomalous moment, is largely unchanged.     

核介质中强子性质的手征σ模型研究

采用手征σ模型描述核多体系统,考虑真空极化的影响,首先由核物质的饱和性质确定模型参数,进一步研究了强子性质在核介质中的变化。手征σ模型的研究结果给出,核子和ω介子的有效质量随核物质密度的增大而减小,但σ介子的有效质量随密度的增大而增大。这些结果与不满足手征对称性的Walecka模型结果进行了比较。计算中采用的重整化方法会对结果有一定的影响。The modification of hadron masses in nuclear medium is studied by using the chiral sigma model, which is extended to generate the omega meson mass by the sigma condensation in the vacuum in the same way as the nucleon mass. The chiral sigma model provides proper equilibrium properties of nuclear matter. It is shown that the effective masses of both nucleons and omega mesons decrease in nuclear medium, while the effective mass of sigma mesons increases at finite density in the chiral sigma model. The resuits obtained in the chiral sigma model are compared with those obtained in the Walecka model, which includes sigma and omega mesons in a non-chiral fashion.     

The Properties of Pure Neutron Star

For a given equation of state of neutron matter in the relativistic σ-ω model, ๏๏๏๏๏ including the vacuum fluctuation of neutron and σ meson, the properties of pure neutron star are studied. We find that the maximum mass of pure neutron star is ～ 2.0 M_{\odot}. At the same time, the influence of incompressibility of the nuclear matter to the properties of neutron star is also studied. We also find that the maximum mass of neutron stars decreases as equation of state of neutron matter becomes softer.     

Nuclear matter in nonlinear σ model

In a simple version of the nonlinear σ model the nuclear matter behaves as a system of nucleons interacting via two-body forces with a radius which decreases with increasing density. This allows us to apply the Khodel-Shaginyan method which is adjusted to our approach by taking into account the pseudoscalar-isovector symmetry of pion field and both the scalar and pseudoscalar effective interactions. In contrast to the QHD [1] there is no vacuum corrections in our approach.