Hot nuclear matter equation of state with a three-body force

Hot nuclear matter equation of state with a three-body force
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DOI:
10.1103/physrevc.69.064001
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发表时间:
2004-06
期刊:
影响因子:
3.1
通讯作者:
W. Zuo;Z. H. Li;A. Li;G. Lu
W. Zuo;Z. H. Li;A. Li;G. Lu
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
W. Zuo;Z. H. Li;A. Li;G. Lu

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通过引入微观三体力,推广了有限温度下的Brueckner-Hartree-Fock方法.在扩展模型的框架下,研究了热非对称核物质的物态方程及其与同位旋的关系。计算了对称核物质液-气相变的临界温度,并与其它预言进行了比较。结果表明,三体力对状态方程有排斥作用,密度越大,排斥作用越强,从而降低了液-气相变的临界温度。计算的热不对称核物质的每个核子的能量满足一个简单的二次依赖于非对称参数$\ensuremath{\beta}$在零温度的情况下。得到了对称能及其与密度的关系,并进行了讨论。结果表明,三体力强烈影响对称能的高密度行为,使对称能对温度的变化更加敏感。研究了质子、中子单粒子势和有效质量等物理量的温度依赖性和同位旋依赖性。与零温情况类似,由于三体力的贡献产生的额外排斥,质子和中子的单粒子势相应地增强。
The finite temperature Brueckner-Hartree-Fock approach is extended by introducing a microscopic three-body force. In the framework of the extended model, the equation of state of hot asymmetric nuclear matter and its isospin dependence have been investigated. The critical temperature of liquid-gas phase transition for symmetric nuclear matter has been calculated and compared with other predictions. It turns out that the three-body force gives a repulsive contribution to the equation of state which is stronger at higher density and as a consequence reduces the critical temperature of liquid-gas phase transition. The calculated energy per nucleon of hot asymmetric nuclear matter is shown to satisfy a simple quadratic dependence on asymmetric parameter $\ensuremath{\beta}$ as in the zero-temperature case. The symmetry energy and its density dependence have been obtained and discussed. Our results show that the three-body force affects strongly the high-density behavior of the symmetry energy and makes the symmetry energy more sensitive to the variation of temperature. The temperature dependence and the isospin dependence of other physical quantities, such as the proton and neutron single particle potentials and effective masses, are also studied. Due to the additional repulsion produced by the three-body force contribution, the proton and neutron single particle potentials are correspondingly enhanced as similar to the zero-temperature case.