In this paper, we have introduced a shell-model of Kraichnan's passive scalar problem. Different from the original problem, the prescribed random velocity field is non-Gaussian and σ correlated in time, and its intr...In this paper, we have introduced a shell-model of Kraichnan's passive scalar problem. Different from the original problem, the prescribed random velocity field is non-Gaussian and σ correlated in time, and its introduction is inspired by She and Levveque (Phys. Rev. Lett. 72, 336 (1994)). For comparison, we also give the passive scalar advected by the Gaussian random velocity field. The anomalous scaling exponents H(p) of passive scalar advected by these two kinds of random velocities above are determined for structure function with values of p up to 15 by Monte Carlo simulations of the random shell model, with Gear methods used to solve the stochastic differential equations. We find that the H(p) advected by the non-Gaussian random velocity is not more anomalous than that advected by the Gaussian random velocity. Whether the advecting velocity is non-Gaussian or Gaussian, similar scaling exponents of passive scalar are obtained with the same molecular diffusivity.展开更多
The attractive fixed-point solution of a nonlinear cascade model is stud- ied for the homogeneous isotropic turbulence containing a parameter C, introduced by Desnyansky and Novikov. With a traditional constant positi...The attractive fixed-point solution of a nonlinear cascade model is stud- ied for the homogeneous isotropic turbulence containing a parameter C, introduced by Desnyansky and Novikov. With a traditional constant positive external force added on the first shell equation, it can be found that the attractive fixed-point solution of the model depends on both the parameter C and the external force. Thus, an explicit force is introduced to remove the effects of the external force on the attractive fixed-point solu- tion. F^arthermore, two groups of attractive fixed-point solutions are derived theoretically and studied numerically. One of the groups has the same scaling behavior of the velocity in the whole inertial range and agrees well with those observed by Bell and Nelkin for the nonnegative parameters. The other is found to have different scaling behaviors of the velocity at the odd and even number shells for the negative parameters. This special characteristic may be used to study the anomalous scaling behavior of the turbulence.展开更多
Considering only the wave aspect, we determine the energy of a bond between 2 nucleons;this quantified energy is associated with a standing wave. Then, starting from the mass loss corresponding to this energy, we dete...Considering only the wave aspect, we determine the energy of a bond between 2 nucleons;this quantified energy is associated with a standing wave. Then, starting from the mass loss corresponding to this energy, we determine the number of bonds in this nucleus. The mass defect value for a link is used to determine a specific length at that link. Fixing a precise distance between nucleons makes it possible to determine a geometry of the nucleus and its dimensions. It makes it possible to understand when this bond is stronger than the electrostatic force and allows deducing a shell model built in a precise order. The calculation on the mass defect will also make it possible to determine that one or more nucleons concerned by the radioactivity will be bound by a single bond to the rest of the nucleus or, on the contrary, bound by several bonds which induce short 1/2 lives or, on the contrary, very long. The analysis of the bonds on H, He and C make it possible to write formulae which are then applied to the nuclei to find the radioactive 1/2 lives. To find by equations the radioactive 1/2 lives does not call into question the standard model since it concerns only the defect of mass of the nuclei with energies that are not used to find the main particles of the standard model. This model, which favours a geometric approach to the detriment of a mathematical approach based on differential equations, can lead to theoretical questions about the possibility of interpreting the structure of the nucleus in a more undulatory way. It is possible to explain radioactivity in a more deterministic way.展开更多
The elastic constants of superconducting MgB2 are calculated using a molecular dynamics method (MD)with shell model. The lattice parameters, five independent elastic constants, equations of state (EOS), Debye temperat...The elastic constants of superconducting MgB2 are calculated using a molecular dynamics method (MD)with shell model. The lattice parameters, five independent elastic constants, equations of state (EOS), Debye temperature, and bulk modulus of MgB2 are obtained. Meanwhile, the dependence of the bulk modulus B, the lattice parameters a and c, and the unit cell volume V on the applied pressure are presented. It is demonstrated that the method introduced here can well reproduce the experimental results with a reasonable accuracy.展开更多
Magnetic excitations for Ba isotopes are discussed within the nucleon-pair shell model trmicated iti the SDsubspace. With the SD pair determined by a surface-δ interaction, M1 transitions for 1344Ba are well fitted. ...Magnetic excitations for Ba isotopes are discussed within the nucleon-pair shell model trmicated iti the SDsubspace. With the SD pair determined by a surface-δ interaction, M1 transitions for 1344Ba are well fitted. The M1 andM3 transitions for 132Ba and 130Ba are also predicted. It is shown that the statement, the collective magnetic propertiesarc due to the orbital motion of nucleons, is approximately valid.展开更多
The model proposes that Nuclei of all macroobjects (Galaxy clusters, Galaxies, Star clusters, Extrasolar systems) are made up of Dark Matter Particles (DMP). These Nuclei are surrounded by Shells composed of both Dark...The model proposes that Nuclei of all macroobjects (Galaxy clusters, Galaxies, Star clusters, Extrasolar systems) are made up of Dark Matter Particles (DMP). These Nuclei are surrounded by Shells composed of both Dark and Baryonic matter. This model is used to explain various astrophysical phenomena: Multi-wavelength Pulsars;Binary Millisecond Pulsars;Gamma-Ray Bursts;Fast Radio Bursts;Young Stellar Object Dippers;Starburst Galaxies;Gravitational Waves. New types of Fermi Compact Stars made of DMP are introduced: Neutralino star, WIMP star, and DIRAC star. Gamma-Ray Pulsars are rotating Neutralino and WIMP stars. Merger of binary DIRAC stars can be a source of Gravitational waves.展开更多
在 sdgh 专业的壳模型计算为中子缺乏的 <SUP>106</SUP>,<SUP>107</SUP>,<SUP>108</SUP>,<SUP>109</SUP 轰炸 > Sn 同位素被使用 CD 波恩和 Nijmegen1 执行了二身体的有效核子核子相...在 sdgh 专业的壳模型计算为中子缺乏的 <SUP>106</SUP>,<SUP>107</SUP>,<SUP>108</SUP>,<SUP>109</SUP 轰炸 > Sn 同位素被使用 CD 波恩和 Nijmegen1 执行了二身体的有效核子核子相互作用。单个壳的状态和为描述 Sn 同位素需要的相应矩阵元素被重建由减少计算要求计算部分 parantage 的系数。这重建允许我们在很合理的时间做中子的壳模型计算缺乏的 Sn 同位素。结果与最近的高分辨率的试验性的数据相比并且发现在对实验的好同意。展开更多
We propose a new approach to the old-standing problem of the anomaly of the scaling exponents of passivescalars of turbulence.Different to the original problem,the distribution function of the prescribed random veloci...We propose a new approach to the old-standing problem of the anomaly of the scaling exponents of passivescalars of turbulence.Different to the original problem,the distribution function of the prescribed random velocity fieldis multi-dimensional normal and delta-correlated in time.Here,our random velocity field is spatially correlative.Forcomparison,we also give the result obtained by the Gaussian random velocity field without spatial correlation.Theanomalous scaling exponents H (p) of passive scalar advected by two kinds of random velocity above are determined forstructure function up to p=15 by numerical simulations of the random shell model with Runge-Kutta methods to solvethe stochastic differential equations.We observed that the H(p) 's obtained by the multi-dimensional normal distributionrandom velocity are more anomalous than those obtained by the independent Gaussian random velocity.展开更多
The projected shell model is applied to the nucleus 129La. The present results of theoretical calculations about the one-quasiproton bands are compared with experimental data. The agreement with both the yrast πh11/2...The projected shell model is applied to the nucleus 129La. The present results of theoretical calculations about the one-quasiproton bands are compared with experimental data. The agreement with both the yrast πh11/2 band πg7/2 band is satisfactory. We also assign the πg7/2 [νh11/2]2 configuration with an oblate shape for one of bands in 129La.展开更多
-A truncated shell model approach is presented for studying the properties oflow-lying states as well as the high-spin states in even-even nuclei with the help of thegeneralized boson-fermion expansion technique.The p...-A truncated shell model approach is presented for studying the properties oflow-lying states as well as the high-spin states in even-even nuclei with the help of thegeneralized boson-fermion expansion technique.The primary fermion state space isspanned by the interacting valence protons and neutrons with effective nucleon-nucleonforce.The truncated model space is considered as a direct sum of two subspaces corre-sponding to the configurations of(sd)<sup>N</sup> and(sd)<sup>N-1</sup>,respectively,plus a broken fermionpair.Numerical calculations are carried out for <sup>130~134</sup>Ce isotopes.The calculated spec-trum reproduces the experimental data quite well,especially the backbending appearingin these nuclei.The results suggest that the approach is able to describe the spectroscopyof states with angular momenta up to J≈20.展开更多
The phenomenon of electrical attraction and repulsion between charged particles is well known, and described mathematically by Coulomb’s Law, yet until now there has been no explanation for why this occurs. There has...The phenomenon of electrical attraction and repulsion between charged particles is well known, and described mathematically by Coulomb’s Law, yet until now there has been no explanation for why this occurs. There has been no mechanistic explanation that reveals what causes the charged particles to accelerate, either towards or away from each other. This paper gives a detailed explanation of the phenomena of electrical attraction and repulsion based on my previous work that determined the exact wave-function solutions for both the Electron and the Positron. It is revealed that the effects are caused by wave interactions between the wave functions that result in Electromagnetic reflections of parts of the particle’s wave functions, causing a change in their momenta.展开更多
The realistic shell model Hamiltonians, USD and GXPF1A, have been transformed from the particle-particle (normal) representation to the particle-hole representation (multipole-multipole) by using the known formula...The realistic shell model Hamiltonians, USD and GXPF1A, have been transformed from the particle-particle (normal) representation to the particle-hole representation (multipole-multipole) by using the known formulation in Ref. [1]. The obtained multipole-multipole terms were compared with the known spherical tensor forces, including the coupled ones. It is the first time the contributions of the coupled tensor forces to the shell model Hamiltonian have been investigated. It has been shown that some coupled-tensor forces, such as [r2Y2 σ] 1, also give important contributions to the shell model Hamiltonian.展开更多
In this paper we study the structure coeficients of collective pairs with spin zero and spin two (SD) in a number of configurations by a few realistic nuclei. We investigate the robustness of these structure coeffcien...In this paper we study the structure coeficients of collective pairs with spin zero and spin two (SD) in a number of configurations by a few realistic nuclei. We investigate the robustness of these structure coeffcients with respect to different configurations and the evolution of SD-pair structure coeffcients with valence nucleon number.展开更多
The study of neutron-rich nuclei near132 Sn is interesting and important for both nuclear structure and nuclear astrophysics. For a considerably large model space allowing cross-shell excitations,a new effective Hamil...The study of neutron-rich nuclei near132 Sn is interesting and important for both nuclear structure and nuclear astrophysics. For a considerably large model space allowing cross-shell excitations,a new effective Hamiltonian is determined by employing the extended pairing-plus-quadrupole model with monopole corrections. Calculations for two mass regions, for the north-east quadrant of132 Sn with Z > 50 and N > 82 and for the south-west quadrant with Z < 50 and N < 82, have been performed recently. The structure of these nuclei is analyzed in detail, and the role of the monopole corrections can be clearly seen.展开更多
基金Project supported by the Major Program of the National Natural Science Foundation (Grant No 10335010) and the National Natural Science Foundation-the Science Foundation of China Academy of Engineering Physics NSAF (Grant No 10576005).Acknowledgement We are grateful to Professor She Zhen-Su for useful suggestions and Dr Sun Peng and Dr Zhang Xiao- Qiang for extensive discussion.
文摘In this paper, we have introduced a shell-model of Kraichnan's passive scalar problem. Different from the original problem, the prescribed random velocity field is non-Gaussian and σ correlated in time, and its introduction is inspired by She and Levveque (Phys. Rev. Lett. 72, 336 (1994)). For comparison, we also give the passive scalar advected by the Gaussian random velocity field. The anomalous scaling exponents H(p) of passive scalar advected by these two kinds of random velocities above are determined for structure function with values of p up to 15 by Monte Carlo simulations of the random shell model, with Gear methods used to solve the stochastic differential equations. We find that the H(p) advected by the non-Gaussian random velocity is not more anomalous than that advected by the Gaussian random velocity. Whether the advecting velocity is non-Gaussian or Gaussian, similar scaling exponents of passive scalar are obtained with the same molecular diffusivity.
基金Project supported by the National Natural Science Foundation of China (No. 10902007)he National Basic Research Program of China (973 Program) (No. 2009CB724001)
文摘The attractive fixed-point solution of a nonlinear cascade model is stud- ied for the homogeneous isotropic turbulence containing a parameter C, introduced by Desnyansky and Novikov. With a traditional constant positive external force added on the first shell equation, it can be found that the attractive fixed-point solution of the model depends on both the parameter C and the external force. Thus, an explicit force is introduced to remove the effects of the external force on the attractive fixed-point solu- tion. F^arthermore, two groups of attractive fixed-point solutions are derived theoretically and studied numerically. One of the groups has the same scaling behavior of the velocity in the whole inertial range and agrees well with those observed by Bell and Nelkin for the nonnegative parameters. The other is found to have different scaling behaviors of the velocity at the odd and even number shells for the negative parameters. This special characteristic may be used to study the anomalous scaling behavior of the turbulence.
文摘Considering only the wave aspect, we determine the energy of a bond between 2 nucleons;this quantified energy is associated with a standing wave. Then, starting from the mass loss corresponding to this energy, we determine the number of bonds in this nucleus. The mass defect value for a link is used to determine a specific length at that link. Fixing a precise distance between nucleons makes it possible to determine a geometry of the nucleus and its dimensions. It makes it possible to understand when this bond is stronger than the electrostatic force and allows deducing a shell model built in a precise order. The calculation on the mass defect will also make it possible to determine that one or more nucleons concerned by the radioactivity will be bound by a single bond to the rest of the nucleus or, on the contrary, bound by several bonds which induce short 1/2 lives or, on the contrary, very long. The analysis of the bonds on H, He and C make it possible to write formulae which are then applied to the nuclei to find the radioactive 1/2 lives. To find by equations the radioactive 1/2 lives does not call into question the standard model since it concerns only the defect of mass of the nuclei with energies that are not used to find the main particles of the standard model. This model, which favours a geometric approach to the detriment of a mathematical approach based on differential equations, can lead to theoretical questions about the possibility of interpreting the structure of the nucleus in a more undulatory way. It is possible to explain radioactivity in a more deterministic way.
基金中国科学院资助项目,Scientific Research Foundation for Returned Overseas Chinese Scholars,Ministry of Education of China
文摘The elastic constants of superconducting MgB2 are calculated using a molecular dynamics method (MD)with shell model. The lattice parameters, five independent elastic constants, equations of state (EOS), Debye temperature, and bulk modulus of MgB2 are obtained. Meanwhile, the dependence of the bulk modulus B, the lattice parameters a and c, and the unit cell volume V on the applied pressure are presented. It is demonstrated that the method introduced here can well reproduce the experimental results with a reasonable accuracy.
文摘Magnetic excitations for Ba isotopes are discussed within the nucleon-pair shell model trmicated iti the SDsubspace. With the SD pair determined by a surface-δ interaction, M1 transitions for 1344Ba are well fitted. The M1 andM3 transitions for 132Ba and 130Ba are also predicted. It is shown that the statement, the collective magnetic propertiesarc due to the orbital motion of nucleons, is approximately valid.
文摘The model proposes that Nuclei of all macroobjects (Galaxy clusters, Galaxies, Star clusters, Extrasolar systems) are made up of Dark Matter Particles (DMP). These Nuclei are surrounded by Shells composed of both Dark and Baryonic matter. This model is used to explain various astrophysical phenomena: Multi-wavelength Pulsars;Binary Millisecond Pulsars;Gamma-Ray Bursts;Fast Radio Bursts;Young Stellar Object Dippers;Starburst Galaxies;Gravitational Waves. New types of Fermi Compact Stars made of DMP are introduced: Neutralino star, WIMP star, and DIRAC star. Gamma-Ray Pulsars are rotating Neutralino and WIMP stars. Merger of binary DIRAC stars can be a source of Gravitational waves.
基金supported in part by the Scientific and Technological Council of Turkey under Grant No.TUBITAK 105T092Süleyman Demirel University under Grant No.SDUBAP 1075-m-05
文摘在 sdgh 专业的壳模型计算为中子缺乏的 <SUP>106</SUP>,<SUP>107</SUP>,<SUP>108</SUP>,<SUP>109</SUP 轰炸 > Sn 同位素被使用 CD 波恩和 Nijmegen1 执行了二身体的有效核子核子相互作用。单个壳的状态和为描述 Sn 同位素需要的相应矩阵元素被重建由减少计算要求计算部分 parantage 的系数。这重建允许我们在很合理的时间做中子的壳模型计算缺乏的 Sn 同位素。结果与最近的高分辨率的试验性的数据相比并且发现在对实验的好同意。
基金National Natural Science Foundation of China for Major Projects under Grant No.10576005
文摘We propose a new approach to the old-standing problem of the anomaly of the scaling exponents of passivescalars of turbulence.Different to the original problem,the distribution function of the prescribed random velocity fieldis multi-dimensional normal and delta-correlated in time.Here,our random velocity field is spatially correlative.Forcomparison,we also give the result obtained by the Gaussian random velocity field without spatial correlation.Theanomalous scaling exponents H (p) of passive scalar advected by two kinds of random velocity above are determined forstructure function up to p=15 by numerical simulations of the random shell model with Runge-Kutta methods to solvethe stochastic differential equations.We observed that the H(p) 's obtained by the multi-dimensional normal distributionrandom velocity are more anomalous than those obtained by the independent Gaussian random velocity.
基金The project support by National Natural Science Foundation of China under Grant No. 10776022 Acknowledgment The authors would like to thank Prof. J.D. Gale for his providing us GULP code.
文摘The projected shell model is applied to the nucleus 129La. The present results of theoretical calculations about the one-quasiproton bands are compared with experimental data. The agreement with both the yrast πh11/2 band πg7/2 band is satisfactory. We also assign the πg7/2 [νh11/2]2 configuration with an oblate shape for one of bands in 129La.
文摘-A truncated shell model approach is presented for studying the properties oflow-lying states as well as the high-spin states in even-even nuclei with the help of thegeneralized boson-fermion expansion technique.The primary fermion state space isspanned by the interacting valence protons and neutrons with effective nucleon-nucleonforce.The truncated model space is considered as a direct sum of two subspaces corre-sponding to the configurations of(sd)<sup>N</sup> and(sd)<sup>N-1</sup>,respectively,plus a broken fermionpair.Numerical calculations are carried out for <sup>130~134</sup>Ce isotopes.The calculated spec-trum reproduces the experimental data quite well,especially the backbending appearingin these nuclei.The results suggest that the approach is able to describe the spectroscopyof states with angular momenta up to J≈20.
文摘The phenomenon of electrical attraction and repulsion between charged particles is well known, and described mathematically by Coulomb’s Law, yet until now there has been no explanation for why this occurs. There has been no mechanistic explanation that reveals what causes the charged particles to accelerate, either towards or away from each other. This paper gives a detailed explanation of the phenomena of electrical attraction and repulsion based on my previous work that determined the exact wave-function solutions for both the Electron and the Positron. It is revealed that the effects are caused by wave interactions between the wave functions that result in Electromagnetic reflections of parts of the particle’s wave functions, causing a change in their momenta.
基金Supported by National Natural Science Foundation of China (10775182,11021504)Major State Basic Research Development Program of China (2007CB815003)
文摘The realistic shell model Hamiltonians, USD and GXPF1A, have been transformed from the particle-particle (normal) representation to the particle-hole representation (multipole-multipole) by using the known formulation in Ref. [1]. The obtained multipole-multipole terms were compared with the known spherical tensor forces, including the coupled ones. It is the first time the contributions of the coupled tensor forces to the shell model Hamiltonian have been investigated. It has been shown that some coupled-tensor forces, such as [r2Y2 σ] 1, also give important contributions to the shell model Hamiltonian.
基金the National Natural Science Foundation of China (Grant No.10675081) for supporting this worksupported partlyby the Research Foundation for Doctoral Program of Higher Education inChina (Grant No. 20060248050)+1 种基金the Scientific Research Foundation of Min-istry of Education in China for Returned Scholars (Grant No. NCET-07-0557)the Chinese Major State Basic Research Developing Program(Grant No. 2007CB815000)
文摘In this paper we study the structure coeficients of collective pairs with spin zero and spin two (SD) in a number of configurations by a few realistic nuclei. We investigate the robustness of these structure coeffcients with respect to different configurations and the evolution of SD-pair structure coeffcients with valence nucleon number.
基金National Natural Science Foundation of China(11505302,11575112,11135005)
文摘The study of neutron-rich nuclei near132 Sn is interesting and important for both nuclear structure and nuclear astrophysics. For a considerably large model space allowing cross-shell excitations,a new effective Hamiltonian is determined by employing the extended pairing-plus-quadrupole model with monopole corrections. Calculations for two mass regions, for the north-east quadrant of132 Sn with Z > 50 and N > 82 and for the south-west quadrant with Z < 50 and N < 82, have been performed recently. The structure of these nuclei is analyzed in detail, and the role of the monopole corrections can be clearly seen.