共查询到19条相似文献,搜索用时 15 毫秒
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在Dirac Brueckner Hartree-Fock (DBHF)理论框架下研究了核子光学势和核子有效质量的同位旋相关性. 非对称核物质的计算采用了DBHF的核子自能的Dirac结构的新的分解方法, 核子自能的实部是用G矩阵在Hartree-Fock近似下计算得到, 而虚部从极化图得到. 用核子的薛定谔等价势可以得到核子矢量有效质量. 研究表明考虑了核势的能量相关性在丰中子核物质情况下核子矢量有效质量比质子的大. 相似文献
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用双折叠模型计算了核核碰撞的相互作用势, 其中核子-核子相互作用势采用M3Y-Reid和M3Y-Paris形式, 交换部分考虑了有限力程的密度依赖的核子-核子相互作用, 程序用于重离子散射光学势实部的计算. 回顾了折叠模型的普遍特征和讨论了理论计算过程, 对各种类型的核子-核子相互作用下计算的相互作用势进行比较, 发现双折叠模型对大部分系统相互作用势的实部取得了满意的结果. 因此这个工作为重离子相互作用势的折叠计算提供了很好的方法. 相似文献
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在Dirac-Brueckner计算由于忽略负能态引起解的不唯一性可以根据Hugenholtz-Van Hove定理,要求核物质在饱和密度处每个核子的分离能等于费米能来给出限制.选取核子饱和结合能为EB/A=-15.8MeV,自洽计算得到核物质的饱和密度kf=1.41fm-1以及有效质量为m*/m=0.52,核的不可压缩系数K=280MeV.利用热力学第一定律可以得到自洽的有效质量(实的标量位)和每个核子的平均结合能随核密度的分布,采用现实的核子-核子相互作用的Bonn位,解RBBG方程得到核在介质中的矢量位,它与动量的依赖关系是很弱的.用这种新的自洽的相对论微观光学位我们进一步讨论了核子-核散射的微分截面和自旋观测量. 相似文献
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总结和评述了用中子晕弹核探寻同位旋非对称核物质状态方程。在具有同位旋和动量依赖的同位旋相关量子分子动力学框架内,采用对比中子晕弹核和相等质量稳定弹核在完全相同入射道条件下物理观测量的差别,来突出中子晕核明显的同位旋效应和加强物理观测量对于同位旋的灵敏性,从而提取核物质状态方程。例如,与稳定弹核碰撞系统相比,中子晕弹核明显提高了发射核子的中子-质子比和增加了它对于对称势的灵敏性,这两点特征非常有利于提取对称势。同样,由于中子晕弹核碰撞系统在低能区(E〈60MeV)由于内部松散结构减弱了核子碰撞力度和动量耗散,与稳定核碰撞系统相比,明显提高了原子核阻止;而在高能区由于两体碰撞同位旋效应的增加,从而明显提高了原子核阻止。利用这些特征可以提取核子-核子碰撞截面的介质效应和同位旋依赖性。 相似文献
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RONG Jian & MA Zhongyu . China Institute of Atomic Energy Beijing China . Center of Nuclear Theoretical Physics National Laboratory of Heavy Ion Accelerator of Lanzhou Lan-zhou China . Institute of Theoretical Physics Chinese Academy of Sciences Beijing China Correspondence should be addressed to Rong Jian 《中国科学G辑(英文版)》2004,47(2):189-198
There is growing evidence to suggest that the binding energy of nucleon in nuclear matter comes from a cancellation between large Lorentz scalar and vector potentials[1,2]. The relativistic approach has been of a great success in describing not only the ground state properties of stable nuclei, but also those of exotic nuclei. In the relativistic frame, the spin-orbit coupling can be deduced automatically, which is usually given by hand in the non-relativistic approach. The relativistic method… 相似文献
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Cevdet Tezcan Ramazan Sever Özlem Yeşiltaş 《International Journal of Theoretical Physics》2008,47(6):1713-1721
Effective mass Schrödinger equation is solved exactly for a given potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function. The effective mass Schrödinger equation is also solved for the Morse potential transforming to the constant mass Schrödinger equation for a potential. One can also get solution of the effective mass Schrödinger equation starting from the constant mass Schrödinger equation. 相似文献
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Kundeti Muralidhar 《Foundations of Physics》2017,47(4):532-552
A generalized Schrödinger equation containing correction terms to classical kinetic energy, has been derived in the complex vector space by considering an extended particle structure in stochastic electrodynamics with spin. The correction terms are obtained by considering the internal complex structure of the particle which is a consequence of stochastic average of particle oscillations in the zeropoint field. Hence, the generalised Schrödinger equation may be called stochastic Schrödinger equation. It is found that the second order correction terms are similar to corresponding relativistic corrections. When higher order correction terms are neglected, the stochastic Schrödinger equation reduces to normal Schrödinger equation. It is found that the Schrödinger equation contains an internal structure in disguise and that can be revealed in the form of internal kinetic energy. The internal kinetic energy is found to be equal to the quantum potential obtained in the Madelung fluid theory or Bohm statistical theory. In the rest frame of the particle, the stochastic Schrödinger equation reduces to a Dirac type equation and its Lorentz boost gives the Dirac equation. Finally, the relativistic Klein–Gordon equation is derived by squaring the stochastic Schrödinger equation. The theory elucidates a logical understanding of classical approach to quantum mechanical foundations. 相似文献
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SYSTEMATICAL ANALYSES OF PROTON-NUCLEI SCATTERING WITH RELATIVISTIC MICROSCOPIC OPTICAL POTENTIAL 下载免费PDF全文
Relativistic microscopic optical potential of a nucleon above the fermi sea based on Walecka's model is used to systematically analyze the proton elastic scattering from nuclei at energies below 300MeV.It is shown that the experimental data of differential cross sections,analyzing powers and spin rotation functions are reproduced satisfactorily except for large angles.This simple model might be used in the nuclear transport theory and heavy ion collision to take account of both nuclear medium and relativistic effects. 相似文献
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The linearized collective Schrödinger equation for nuclear quadrupole surface vibrations incorporates a new spin degree of freedom with a spin value of 3/2. We use this equation to describe the low energy spectrum of certain even-odd Ir nuclei which have a spin 3/2 in their ground state. For that purpose we explicitly introduce collective spin-dependent potentials which simulate the interaction of the valence nucleon with the core. The linearized Schrödinger equation is transformed into an effective Schrödinger equation with collective spin-dependent potentials. Already collective spin-orbit couplings of SO(3) and SO(5) type are sufficient to reproduce the lowest excited states of even-odd Ir nuclei. 相似文献
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《Journal of Nonlinear Mathematical Physics》2013,20(2):207-233
The nonlinear Schrödinger equation is studied for a periodic sequence of delta-potentials (a delta-comb) or narrow Gaussian potentials. For the delta-comb the time-independent nonlinear Schrödinger equation can be solved analytically in terms of Jacobi elliptic functions and thus provides useful insight into the features of nonlinear stationary states of periodic potentials. Phenomena well-known from classical chaos are found, such as a bifurcation of periodic stationary states and a transition to spatial chaos. The relation to new features of nonlinear Bloch bands, such as looped and period doubled bands, are analyzed in detail. An analytic expression for the critical nonlinearity for the emergence of looped bands is derived. The results for the delta-comb are generalized to a more realistic potential consisting of a periodic sequence of narrow Gaussian peaks and the dynamical stability of periodic solutions in a Gaussian comb is discussed. 相似文献
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作为密度矩阵一种形式的Wigner函数是量子相空间里的分布。用它描述相对论费密子时,它的通常表达形式为4×4矩阵函数。本文得到相对论带电费密子的2×2矩阵形式的Wigner函数以及它所满足的Liouville方程。这一方程与量子电动力学里带电费密子满足的Dirac方程完全等价。在描述中能核碰撞的Walecka模型里,当只有矢量介子(或标量介于取平均场近似)时,核子满足一定形式的Dirac方程。本文的方程也与之等价。还证明了(2×2)Wigner函数与相对论费密子的波函数在描述量子体系上起着同样的作用。量子体系的可观察量的全部知识都可以通过这里的Wigner函数得到。
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The imaginary part of the off-shell nucleon self-energy at finite temperature in nuclear matter, where the polarization and correlation contributions of exchanges of the meson are taken into account, is investigated based on Walecka's meson-nucleon model and thermofield dynamics. The second order correction of temperature-dependent real part of the nucleon self-energy is calculated in terms of the dispersion relation. The Schrodinger equivalent potential of relativistic microscopic optical potential of a nucleon at finite temperature in nuclear medium is also studied. 相似文献