Correlated strength in the nuclear spectral function

We have carried out an (e,e'p) experiment at high momentum transfer and in parallel kinematics to measure the strength of the nuclear spectral function S(k,E) at high nucleon momenta k and large removal energies E. This strength is related to the presence of short-range and tensor correlations, and was known hitherto only indirectly and with considerable uncertainty from the lack of strength in the independent-particle region. This experiment locates by direct measurement the correlated strength predicted by theory.     

On the distribution of shell-model eigenvector components

We present results that show that the components of shell-model eigenvectors are not distributed like those of a randomly oriented vector. An argument based on the invariance properties of the ensemble of random matrices arising from two-body hamiltonians is used to suggest the correct form of the distribution. The agreement with distributions obtained in actual shell-model calculations is found to be excellent.     

Treatment of continua in the shell-model theory of nuclear reactions

It is shown that by a suitable choice of the bound- and continuum-state functions used to perform shell-model calculations, the continuum-continuum interaction may be minimized. Approximate expressions for the scattering matrix elements are derived that are easily evaluated by simple extensions of the conventional shell-model calculations for bound states. Numerical calculations are performed for neutron scattering from ¹²C within the framework of the deformed rotor model and compared with exact coupled-channel calculations.     

Elimination the centre-of-mass motion in the nuclear shell-model with isospin

An efficient procedure for large-scale calculations of the two-particle translational invariant coefficients of fractional parentage (CESO’s) for several j-shells with isospin is presented. The approach is based on a simple enumeration scheme for antisymmetric many-particle states and efficient algorithms for calculation of the coefficients of fractional parentage for a single j-shell and several j-shells with isospin. The CESO’s may be obtained by diagonalizing the centre-of-mass Hamiltonian in the basis set of antisymmetric A-particle oscillator functions with singled out dependence on intrinsic coordinates of two last particles and choosing the subspace of its eigenvectors corresponding to the minimal eigenvalue equal to 3/2. An arbitrary number of oscillator quanta can be involved. The characteristics of the introduced CESO’s basis are investigated.     

An importance sampling algorithm for diagonalizing the nuclear shell-model hamiltonian

We have developed an iterative algorithm for generating exact eigensolutions of large matrices and endowed it with an importance sampling which allows for a reduction of the sizes of the matrices while keeping full control of the accuracy of the eigensolutions. We illustrate the potential of the method through its application to the nuclear shell-model eigenproblem.     

Solving the two-center nuclear shell-model problem with arbitrarily oriented deformed potentials

A general new technique to solve the two-center problem with arbitrarily oriented deformed realistic potentials is demonstrated, which is based on the powerful potential separable expansion method. As an example, molecular single-particle spectra for (12)C+(12)C-->(24)Mg are calculated using deformed Woods-Saxon potentials. These clearly show that nonaxial symmetric configurations play a crucial role in molecular resonances observed in reaction processes for this system at low energy.     

Coexistence of cluster and shell-model aspects in nuclear systems

We discuss cluster phenomena in light nuclei. As examples of typical cluster structures, we first review cluster structures of ¹²C, ¹⁶O, and ²⁰Ne, and then introduce some topics of cluster phenomena in light neutron-rich nuclei such as Be and C isotopes. A particular attention is paid on coexistence of cluster and shell-model aspects.     

The applicability of nuclear field theory to shell-model calculations

Previous NFT calculations of the four-particle spectrum reached different conclusions concerning the applicability of the lowest-order Rayleigh-Schroedinger perturbation expansion. In the present paper, we show that the inclusion of second-order diagrams and/or diagonalization procedures yields satisfactory results both for the energies and for the transfer matrix elements even for j-shells as small as the $\text{j =}\text{7}\text{2}$ and $\text{j =}\text{11}\text{2}$ shells.     

Radiative capture of low-energy neutrons in the shell-model approach to nuclear reactions

The shell-model approach to photonuclear reactions is applied to the radiative capture of low-energy neutrons. The direct, compound and channel resonant contributions to the collision matrix appear in a natural way. We show that the experimental data in the vicinity of the 3s giant resonance can be quantitatively interpreted in terms of the channel resonant capture. The relationship with the R-matrix approach of Lane and Lynn is discussed.     

空间目标表面材料光谱双向反射分布函数测量与建模

介绍了双向反射分布函数（BRDF）的绝对测量原理和方法,选用光谱分辨率为3 nm的光谱辐射度计及精度为001°的三维转角系统,搭建了BRDF自动测量平台,对空间目标表面包覆材料在400—2500 nm的光谱BRDF进行了测量.结果表明,BRDF曲线极大值所对应的散射角度一般在镜反射方向左右,其余BRDF值随散射角变化很平缓,从中间向两边逐渐变小,近似成余弦分布.测量误差为495%.应用模拟退火算法,结合BRDF五参量统计模型,获得了测量光谱范围内各波长对应的共2101组五参量值,通过对比参量计算结果和 关键词： 双向反射分布函数 绝对测量 误差分析 参量模型     

High-fidelity image reproduction using angular distribution of reflected spectral intensity

A method to reproduce images of an object under various observation conditions is presented. In this method, a series of multispectral images is captured by rotating the object under a point light source of which spectral power distribution and the position are known. The captured images are decomposed into diffuse and specular reflection component images based on the dichromatic reflection and the Lambertian models. Next, the incident angle of the illumination light and the angle between viewing direction and regular reflection are calculated based on observation geometry. Finally, the image under observation geometry is synthesized using the light-ray rearrangement technique. The experiments are carried out using two-dimensional objects, leather and fabric. Most of the synthesized images are shown to be the same as the images actually captured under the assumed illumination geometry, even if the object has complex reflection like fabric for which it is difficult to apply the reflection model used in computer graphics.     

Electric quadrupole and hexadecupole nuclear excitations from the perspectives of electron scattering and modern shell-model theory

Shell-model wave functions obtained from a complete, unified treatment of the structure of the positive parity states in nuclei between ¹⁶O and ⁴⁰Ca are used to calculate the features of inelastic electron scattering to 2+ and 4+ states in this region. These predictions of E2 and E4 form factors, and the corresponding elastic scattering predictions, are compared with the collected experimental data which are available on this topic. The dependence of the calculated results upon alternate models for single-nucleon wave functions and core-polarization transition densities is investigated, as is the consistency between the (e,e′) measurements and the analogous B(E2) measurements.     

Microscopic shell-model description of the irrotational-flow dynamics

The European Physical Journal A - We reconsider the chiral Lagrangian with three-flavor baryon fields. A systematic analysis of all low-energy constants (LEC) that contribute to the axial-vector...     

The nuclear density of states in the space of nuclear shapes

The density of states for the nuclear shape degrees of freedom are calculated in the Fermi gas model. For quadrupole deformations, the resulting formulas agree well with the properties of the deformed excited states of ¹⁶O and ⁴⁰Ca. Application is also made to the inertia associated with the deformation coordinate. The inertia turns out to be much smaller than given by the weak coupling limit.     

Retrieval of spheroidal particle size distribution using the approximate method in spectral extinction technique

Retrieval of spheroidal particle size distribution using an approximate method in spectral extinction technique is proposed. The combined approximate method, which is the combination of Mie method and generalized eikonal approximation (GEA) method, is used as an alternative to the rigorous solutions to calculate the averaging extinction efficiency of spheroid. Based on the averaging extinction efficiency, the accuracy and limitations of the retrieval are then investigated. Moreover, the validity range and effect of the refractive index are also examined. The Johnson's S_B function in this paper is used as a versatile function to fit the commonly used particle size distribution functions in the dependent model. Simulations and experimental results show that the combined approximate method can be successfully applied to retrieval of spheroidal particle size distribution. In certain constraint conditions, the retrieval results demonstrate the high reliability and stability of the method. By using the combined approximate method, the complexity and computation time of the retrieval are significantly reduced, which is more suitable for quick and easy measurement. The method can also be used as a replacement when the rigorous solutions suffer computationally intractable difficulties.     

Dependence of the density distribution of 208Pb on the occupation probabilities of shell-model orbits

An independent-particle model for the proton density distribution of ²⁰⁸Pb is constructed; it closely approximates the Hartree-Fock calculation of Dechargé and Gogny. We investigate the modifications which arise when one introduces a depletion of the Fermi sea of the amount suggested by analyses of recent electron scattering data and by nuclear-matter calculations. The main effect of the depletion is to flatten the density distribution in the nuclear interior. The calculated density is in good agreement with the empirical one near the nuclear centre but is too small in the vicinity of 5 fm. The main consequences of the depletion are shown to be largely independent of the details of the model. It is concluded that Hartree-Fock single-particle wave functions which yield good agreement with empirical density distributions are rather different from the natural orbitals. Accordingly they should not be expected to yield a good approximation to the off-diagonal elements of the one-body density matrix, e.g. to the momentum distribution.