核物质中K介子有效质量

分析了K介子在核物质中有效质量的变化受到核物质标量密度和矢量密度的双重影响,使用Walecka模型和相对论平均场理论,讨论了核物质标量密度与矢量密度的关系,利用这一关系改进了K介子有效质量和核物质密度之间存在的依赖关系.     

模型及其参数对确定K介子有效质量的影响

分别使用线性和非线性Walecka模型,讨论了重子标量密度ρS和矢量密度ρB的关系.运用相对论平均场理论给出了不同模型下ρ_S-ρ_B关系曲线.利用这些结果,分析了模型和参数组对核物质中K介子有效质量影响的大小,得到了不同参数组下K介子有效质量随核物质密度的变化关系曲线.同时计算了非对称核物质中K介子有效质量在不同模型和不同参数下的有效质量的曲线,并与对称核物质中的情况进行了比较.     

"热核"的统计特性和核物质液气相变

用含温度推广的Thomas-Fermi模型讨论了"热核"和核物质的激发能、熵和自由能等热力学函数的温度依赖特性.确定了有限温度下核物质的状态方程,并进而计算了液气相变的临界温度及其对核物质不对称度的依赖关系.     

核物质的物态方程的研究

在相对论σ–ω模型的单圈图近似下,详细推导了核物质的能量密度和压强密度表达式,数值计算了核物质的结合能和压强随核密度的变化,并分别在热力学和流体力学的理论框架下,计算了核物质的压强密度,结果表明这两种方法得到的压强密度相同.     

手征对称性的部分恢复与核物质中的π凝聚

由π凝聚的相对性半经典理论推知:由于σ模型中魔圆半径随核密度变化,核物质中可以发生π凝聚。算得的临界密度略高于正常基态核物质密度。     

密度相关袋常数的夸克介子耦合模型关于核物质和有限核的研究

由满足手征对称的Nambu-Jona-Lasinio(NJL)模型出发, 计算得到袋常数的密度相关性, 并将其与夸克介子耦合(QMC)模型相结合, 研究核物质和有限核的性质. 结果表明, 该模型能够成功地描述核物质的性质, 但得到的有限核结合能过大, 其中重整势起了非常关键的作用.     

高密核物质中核子的运动对于K介子的等效质量和能量的影响

本文对比分析了目前用于研究K介子产生与演化的不同动力学模型中,高温高密核物质中K⁺介子和K^-介子的等效质量和它所感受到的平均场.所得结果显示:在关于K介子的一般的平均场理论中,所定义的K⁺介子的等效质量随着核物质密度的增大而增加, K^-介子的等效质量随着核物质密度的增大而减小;但在K介子演化的协变动力学模型中,所采用的K⁺介子和K^-介子等效质量是随着核物质密度的增大都是减小的 关键词： 高密核物质 K介子 等效质量 核子运动     

核物质中的力学和化学不稳定性

用有效的手征模型和Brown-Rho标度在相对论平均场近似下研究在有限温度下的核物质,再现了核物质的基本性质,计算热力学系统的力学和化学不稳定性,得到相变图.     

σ介子的自相互作用对核物质物态方程的影响

在相对论σ–ω模型里,详细讨论了σ介子的自相互作用参数对正常核物质物态方程的影响,特别是对核物质的不可压缩系数、有效质量,以及σ介子与核子、ω介子与核子之间的耦合常数的影响,发现这些参数与核物质的性质之间有紧密的联系.同时,利用这些结果研究了相对论σ–ω–π模型下△共振态核物质的结合能和压强与温度之间的关系,并同我们以前的结果作了比较,得到了一些有意义的结果.在以上所有的分析中,考虑了核子、△粒子和σ介子的真空起伏.     

奇异核物质中K介子有效质量

在Schaffner相对论平均场模型的框架基础上, 考虑同位旋矢量介子δ,扩展了强子动力学模型和单玻色子交换K介子-模型, 重新讨论了介子与重子和介子与K介子相互作用的耦合常数, 研究了奇异核物质中K介子的有效质量, 发现在奇异核物质中K介子的有效质量随密度的变化比在纯核子物质中的变化小. 同位旋矢量介子δ对在奇异核物质中K介子有效质量随密度变化有明显的影响, 但对不同的参数组, 其影响的大小不同.     

Dense nuclear matter: Landau Fermi-liquid theory and chiral Lagrangian with scaling

The relation between the effective chiral Lagrangian whose parameters scale according to Brown and Rho scaling (“BR scaling”) and Landau Fermi-liquid theory for hadronic matter is discussed in order to make a basis to describe the fluctuations under the extreme condition relevant to neutron stars. It is suggested that BR scaling gives the background around which the fluctuations are weak. A simple model with BR-scaled parameters is constructed and reproduces the properties of the nuclear ground state at normal nuclear matter density successfully. It shows that the tree level in the model Lagrangian is enough to describe the fluctuations around BR-scaled background. The model Lagrangian is consistent thermodynamically and reproduces relativistic Landau Fermi-liquid properties. Such points are important for dealing with hadronic matter under extreme condition. On the other hand, it is shown that the vector current obtained from the chiral Lagrangian is the same as that obtained from Landau–Migdal approach. We can determine the Landau parameter in terms of BR-scaled parameter. However, these two approaches provide different results, when applied to the axial charge. The numerical difference is small. It shows that the axial response is not included properly in the Landau–Migdal approach.     

Charge-constrained coherent pion states produced in nuclear matter

In a recent article, Bloss, Hone and Scalapino have used a simplified model Hamiltonian and Keldysh field theoretic methods to approximately calculate the power radiated as Cherenkov charged pions whose emission is triggered when a fast nucleon traverses nuclear matter. The model used by these authors conserves charge by flipping the isospin state of the fast nucleon alone for each charged pion emitted. Since it is the nuclear matter excited by the fast nucleon which should be largely reponsible for emitting the Cherenkov charged pions, we investigate an alternate model that allows all the disturbed nuclear matter to change its charge state when a charged pion is emitted—as an idealization, the emitting matter is assumed to have an infinite number of charge states, in contrast to the two of the fast nucleon. This modified model is shown to be exactly solvable in terms of charge-constrained coherent pion states; the power radiated as charged pions is found to be approximately twice that calculated by Bloss et al. from their model.     

Efimov effect in Dirac semi-metals

The Efimov effect is defined as a quantum state with discrete scaling symmetry and a universal scaling factor. It has attracted considerable interests from nuclear to atomic physics communities. In a Dirac semi-metal, when an electron interacts with a static impurity through a Coulombic interaction, the same kinetic scaling and the interaction energy results in the Efimov effect. However, even when the Fermi energy lies exactly at the Dirac point, the vacuum polarization of the electron-hole pair fluctuation can still screen the Coulombic interaction, which leads to deviations from the scaling symmetry and eventually breaks down of the Efimov effect. This energy distortion of the Efimov states due to vacuum polarization is a relativistic electron analogy of the Lamb shift for the hydrogen atom. Motivated by the recent experimental observations in two- and three-dimensional Dirac semi-metals, we herein investigate this many-body correction to the Efimov effect and the conditions that allow some of the Efimov-like quasi-bound states to be observed in these condensed matter experiments.     

Equation of state of nuclear matter and neutron stars in a hadron mass scaling frame

The equation of state for nuclear matter at finite temperature and the properties of neutron stars are studied starting from an effective Lagrangian in the framework of the relativistic mean field theory. We find that the empirical properties of nuclear matter can be reproduced if the medium effects are mainly described in terms of the Brown-Rho mass scaling on top of the Bonn potential used as the underlying bare nucleon-nucleon interaction. In particular a correct symmetry energy at saturation density is obtained. The extrapolation of the equation of state to neutron matter and some predictions for the neutron-star masses are finally discussed and compared with other nucleonic many-body approaches.PACS: 21.65. + f Nuclear matter - 21.30.Fe Forces in hadronic systems and effective interactions - 97.60.Jd Neutron stars     

Equation of state in hybrid stars and the stability window of quark matter

Properties of hybrid stars with a mixed phase composed of asymmetric nuclear matter and strange quark matter are studied. The quark phase is investigated by the quark quasiparticle model with a self-consistent thermodynamic and statistical treatment. We present the stability windows of the strange quark matter with respect to the interaction coupling constant versus the bag constant. We find that the appearance of the quark–hadron mixed phases is associated with the meta-stable or unstable regions of the pure quark matter parameters. The mass–radius relation of the hybrid star is dominated by the equation of state of quark matter rather than nuclear matter. The contour plots of the maximum mass of the hybrid star are shown in the plane of the coupling constant and the bag constant.     

The Influence of the Renormalization Condition to the Equation of State of the Nuclear Matter

In the relativistic σ-ω model, the influences of the parameters b, c, d in the potential U(σ)=(1/2!)bσ²+(1/3!)cσ³+ (1/4!)dσ⁴ to the incompressibility, effective mass and binding energy of the nuclear matter are studied in detail. The calculation of equation of state of nuclear matter shows that the values of b, c, d depend on the renormalization condition, we also find that a soft equation of state of nuclear matter can be obtained in a suitable renormalization condition, and the experimental incompressibility coefficient can be reproduced. These results are also used to study the thermal properties of hot Δ-resonant nuclear matter.     

Equation of State of Nuclear Matter in Chiral σ-ω Model

The equation of state of nuclear matter is studied in the 1-loop approximation of chiral linear σ-ω model. By introducing the density-dependent coupling constants, the problem of tachyon pole in the chiral σ-ω model is resolved. The 1-loop contributions of σ and π mesons to the nucleon's binding energy are included, while the empirical properties of nuclear matter such as saturation density, binding energy, and incompressibility are well reproduced.     

Influence of In-medium properties of vector mesons on dilepton production in heavy ion collisions at SIS energies

Dileptons represent a unique probe for nuclear matter under extreme conditions reached in heavy ion collisions. They allow the study of meson properties, like mass and decay width, at various density and temperature regimes. Up to now, in the Tübingen model for dilepton production, modification of meson properties in nuclear medium has been accounted for by allowing a density dependence of the mass (Brown–Rho scaling) together with an ad hoc dependence of the meson decay widths on the same variable. We use the extended vector meson dominance (eVMD) model to extract meson properties in nuclear matter by computing the in-medium meson spectral functions. Dilepton spectra for C+C at 1.0 and 2.0 AGeV are calculated and compared with previous results.     

Shell model description of the 14C dating beta decay with Brown-Rho-scaled NN interactions

We present shell model calculations for the beta decay of 14C to the 14N ground state, treating the states of the A=14 multiplet as two 0p holes in an 16O core. We employ low-momentum nucleon-nucleon (NN) interactions derived from the realistic Bonn-B potential and find that the Gamow-Teller (GT) matrix element is too large to describe the known lifetime. By using a modified version of this potential that incorporates the effects of Brown-Rho scaling medium modifications, we find that the GT matrix element vanishes for a nuclear density around 85% that of nuclear matter. We find that the splitting between the (J(pi),T)=(1(+),0) and (J(pi),T)=(0(+),1) states in 14N is improved using the medium-modified Bonn-B potential and that the transition strengths from excited states of 14C to the 14N ground state are compatible with recent experiments.