Moments of Inertia, Magnetic Dipole Moments, and Electric Quadrupole Moments of the Lithium Isotopes

The single-particle Schrödinger fluid model is designed mainly to calculate the moments of inertia of the axially symmetric deformed nuclei by assuming that each nucleon in the nucleus is moving in a single-particle potential which is deformed with time t, through its parametric dependence on a classical shape variable α(t). Also, the Nilsson model is designed for the calculations of the single-particle energy levels, the magnetic dipole moments, and the electric quadrupole moments of axially symmetric deformed nuclei by assuming that all the nucleons are moving in the field of an anisotropic oscillator potential. On the other hand, the nuclear superfluidity model is designed for the calculations of the nuclear moments of inertia and the electric quadrupole moments of deformed nuclei which have no axes of symmetry by assuming that the nucleons are moving in a quadruple deformed potential. Furthermore, the cranked Nilsson model is designed for the calculations of the total nuclear energy and the quadrupole moments of deformed nuclei which have no axes of symmetry by modifying the Nilsson potential to include second and fourth order oscillations. Accordingly, to investigate whether the six p-shell isotopes 6Li, 7Li, 8Li, 9Li, 10Li, and 11Li have axes of symmetry or not, we applied the four mentioned models to each nucleus by calculating their moments of inertia, their magnetic dipole moments, and their electric quadrupole moments by varying the deformation parameter β and the non-axiality parameter γ in wide ranges of values for this reason. Hence for the assumption that these isotopes are deformed and have axes of symmetry, we applied the single-particle Schrödinger fluid model and the Nilsson model. On the other hand, for the assumption that these isotopes are deformed and have no axes of symmetry, we applied the cranked Nilsson model and the nuclear super fluidity model. As a result of our calculations, we can conclude that the nucleus 6Li may be assumed to be deformed and has an axis of symmetry.

Finite-field calculation of electric quadrupole moments of^2P3/2,^2D3/2,5/2,and^2F5/2,7/2 states for Yb^+ion

Electric quadrupole moments of low-lying excited states of Yb^+are calculated by relativistic coupled-cluster theory with perturbations from external fields.The field-dependent energy differentiation provides accurate values of the electric quadrupole moments of^2P3/2,^2D3/2,5/2,and^2F5/2,7/2 states which agree well with experimental values.The important role of the electronic correlation to the electric quadrupole moments is investigated.Our calculations indicate the early dispute of the electric quadrupole moment of the Yb^+(2F7/2)state for which the measured and theoretical values have a large discrepancy.These electric quadrupole moment values can help us to determine the electric quadrupole shifts in start-of-the-art experiments of the Yb+ion.

Theoretical study of the hyperfine interaction constants, Landé g-factors, and electric quadrupole moments for the low-lying states of the 61Niq+(q=11,12,14,and 15) ions

Highly charged nickel ions have been suggested as candidates for the ultra-precise optical clock, meanwhile the relevant experiment has been carried out. In the framework of the multiconfiguration Dirac–Hartree–Fock(MCDHF)method, we calculated the hyperfine interaction constants, the Landég-factors, and the electric quadrupole moments for the low-lying states in the 61Ni11+,61Ni12+,61Ni14+, and61Ni15+ ions. These states are clock states of the selected clock transitions in highly charged nickel ions(see Fig. 1). Based on discussing the effects of the electron correlations, the Breit interaction, and quantum electrodynamics(QED) effect on these physical quantities, reasonable uncertainties were obtained for our calculated results. In addition, the electric quadrupole frequency shifts and the Zeeman frequency shifts of the clock transitions concerned were analyzed.

Quadrupole Pairing Correlations and Moments of Inertia of Superdeformed Nuclei

The Harmonic OseiUator Quadruple Pairing Cranking Hartree-Fock-Bogoliubov（HFB）theoreti-cal model is established and applied to the superdeforrned（SD）rotational states.The reduction and col-lapse of the pairing fields,including Y20,Y21 and Y22 fields at superdeformation and high spins,are stud-ied.It is found that the correct rotational frequency ω-dependence of the pairing fields is crucial for thetheory to reproduce the rising behavior of dynamic moment of inertia J（2） observed in the A=190 region,and the Y21 pairing contributes significantly to reducing the rising rate of J（2） and thus may strongly influ-enee the collective properties of SD nuclei.The calculated J（2） of 192H8 is in good agreement with the ex-perimental data up to （?）ω=0.32 MeV.

Metric of a Slow Rotating Body with Quadrupole Moment from the Erez-Rosen Metric

A metric representing a slowly rotating object with quadrupole moment is obtained using a perturbation method to include rotation into the weak limit of the Erez-Rosen metric. This metric is intended to tackle relativistic astrometry and gravitational lensing problems in which a quadrupole moment has to be taken into account.

Magnetic and quadrupole moments of the Z_(c)(4020)^(+),Z_(c)(4050)^(+),and Z_(c)(4600)^(+)states in the diquark-antidiquark picture

The magnetic and quadrupole moments of the Z_(c)(4020)^(+),Z_(c)(4050)^(+),and Z_(c)(4600)^(+)states are calculated within the QCD light-cone sum rules.The compact diquark-antidiquark interpolating currents and the distribution amplitudes of the on-shell photon are used to extract the magnetic and quadrupole moments of these states.The magnetic moments are acquired asμZ_(c)=0.50+0.22−0.22μN,μZ_(c)^(1)=1.22+0.34−0.32μN,andμZ_(c)^(2)=2.40+0.53−0.48μN for the Z_(c)(4020)^(+),Z_(c)(4050)^(+),and Z_(c)(4600)^(+)states,respectively.The magnetic moments evaluated for the Z_(c)4020)+,Z_(c)(4050)+,and Z_(c)(4600)+states are sufficiently large to be experimentally measurable.The magnetic moment is an excellent platform for studying the internal structure of hadrons governed by the quark-gluon dynamics of QCD because it is the leading-order response of a bound system to a weak external magnetic field.The quadrupole moment results are DZ_(c)=(0.20+0.05−0.04)×10^(−3)fm^(2),DZ_(c)^(1)=(0.57+0.07−0.08)×10^(−3)fm^(2),and DZ_(c)^(2)=(0.30+0.05−0.04)×10^(−3)fm^(2)for the Z_(c)(4020)^(+),Z_(c)(4050)^(+),and Z_(c)(4600)^(+)states,respectively.We obtain a non-zero,but small,value for the quadrupole moments of the Z_(c)states,which indicates a non-spherical charge distribution.The nature and internal structure of these states can be elucidated by comparing future experimental data on the magnetic and quadrupole moments of the Z_(c)(4020)^(+),Z_(c)(4050)^(+),and Z_(c)(4600)^(+)states with the results of the present study.

Approximate Kerr-Like Metric with Quadrupole

A new approximate metric representing the spacetime of a rotating deformed body is obtained by perturbing the Kerr metric to include up to the second order of the quadrupole moment. It has a simple form, because it is Kerr-like. Its Taylor expansion form coincides with second order quadrupole metrics with slow rotation already found. Moreover, it can be transformed to an improved Hartle-Thorne metric, which guarantees its validity to be useful in studying compact object, and it is possible to find an inner solution.

Full relativistic calculations of the quadrupole and electric field gradients for C_2,N_2,and O_2

In the present work we calculate the energies,quadrupole moments,and electric field gradients（EFGs） of molecules C2,N2,and O2 based on the DIRRCI method with basis aug-cc-pVTZ-DK.We prove that the quadratic force constant k2 is the product of charge and EFG at its equilibrium nuclear distance.The dipole charge distributions for these symmetrical molecules are all in equilibrium,however,the quadrupole charge distributions are far from equilibrium;among these,there is the most remarkable deviation from equilibrium for N2,for its many charges concentrate on two sides of the molecule,which is in agreement with the well-known characteristic of the nitrogen molecule.The relativistic effect is remarkable even for the same period.

Calculations of electric quadrupole moments and charge radii for high-K isomers

Configuration-constrained potential-energy-surface calculations are performed to investigate high-K isomers in97Y,130Ba,176Yb,177Lu,and178Hf that were observed to have increased electric quadrupole moments but decreased charge radii relative to the states on which they are built.Taking into account the efects of deformation change and unpaired protons,our calculations can reproduce the enhancement of electric quadrupole moments for the isomers in97Y,130Ba,176Yb,177Lu and the Kπ=8 isomer in178Hf,and can reproduce the reduction of charge radii for the Kπ=27/2 isomer in97Y and the Kπ=16+isomer in178Hf.

Systematic description of nuclear electric quadrupole moments

The nuclear electric quadrupole moment （NQM） is one of the fundamental bulk properties of the nucleus with which nuclear deformations can be investigated. The number of measured NQMs is significantly less than that of known masses, and there is still no global NQM formula for all bound nuclei. In this paper, we propose an analytical formula, which includes the shell corrections and which is the function of the charge number, mass number, spin, charge radius, and nuclear deformation, for calculating the NQMs of all bound nuclei. Our calculated NQMs of 524 nuclei in their ground states are reasonable compared to the experimental data based on the nuclear deformation parameters derived from the Weizsacker-Skyrme （WS） nuclear mass models. Smaller rms deviations between the calculated NQMs and experimental data indicate that the deformation parameters predicted from the WS mass models are reasonable. In addition, 161 unmeasured NQMs with known spins are also predicted with the proposed formula.

Quantum phase for an electric quadrupole moment in noncommutative quantum mechanics

We study the noncoInmutative nonrelativistic quantum dynamics of a neutral particle, which possesses an electric qaudrupole moment, in the presence of an external magnetic field. First, by intro ducing a shift for the magnetic field, we give the Schrodinger equations in the presence of an external magnetic field both on a noncommutative space and a noncomlnutative phase space, respectively. Then by solving the SchrSdinger equations both on a noneommutative space and a noncommutative phase space, we obtain quantum phases of the electric quadrupole moment, respectively. Wc demonstrate that these phases are geometric and dispersive.

Equations of motion for binary systems with relativistic quadrupole-quadrupole moments interaction

By making use of the scheme developed by Damour, Soffel and Xu, in terms of Maple\|computer algebra system, the first post\|Newtonian equations of motion for binary systems with monopole, spin and quadrupole interaction are for the first time derived in an explicit and complete form. The equations of motion are expressed in the local coordinate system as well as in a global coordinate system. The new terms containing quadrupole\|quadrupole moments might be of some importance for a precise description of coalescing neutron star binaries.

普通有机分子或药物热分解稳定性的理论预测

采用密度泛函理论方法,在B3LYP/6-31+G(d,p)水平上,对任意选定的32个有机化合物或药物进行最低能量构象优化和结构参数理论计算.建立了四极矩参数Qii与半数摩尔热分解函数Yd(1/2)的相关方程,其定量构性关系(QSPR)方程为Yd(1/2)=-8.65747-3.8954Qii,相关系数为r2=-0.99297,交叉验证相关系数为XV-r2=0.99188,F检验结果为4237.343321.训练集化合物的半数分解温度Td(1/2)的平均绝对预测误差(AVEDEV)为14.70 K.进一步利用该方程对测试集中43个分子进行预测验证,Td(1/2)的预测值与实验值的相关系数为0.92304,Yd的预测值与实验值的相关系数为0.99345,证实了所建立方法的可靠性.结构差异性分析表明,训练集和测试集中的化合物均较均匀地分布在结构参数的3D空间中,化合物结构具有较好的多样性和差异性.

几种含氮化合物的核磁共振测试(英文)

结合曲氨南(Aztreonam)、奥美拉唑(Omeprazole)与一种席夫碱对含氮化合物在核磁共振(NMR)测试中的某些特性进行了研究.结果表明,14N四偶极矩、分子间氢键以及分子间质子转移导致的异构,是影响含氮化合物核磁特性的主要因素.这些因素虽然在NMR的实验设计与谱图分析方面是无法避免的,但却能为结构解析以及其他化学研究方面提供一定的有趣的信息.

用TEM CELL测量辐射发射的新研究

首次从天势和洛仑互易定理出发，通过关量和张量运算得出横电磁波空中包括电四极子的辐射模型的被测物的辐射发射的更一般的结论，通过实验验证，结果较好。

电四极矩及其在原子核物理中的应用研究

从小区域电荷电势的多级展开式出发,重点讨论电多极矩中的电四极矩,从矩阵的角度阐述电四极矩的含义.利用电四极矩对原子核的形状和形变的大小作出定量的分析与判断,为电四极矩的学习、教学和应用提供一定的参考和借鉴.

具有电荷、磁荷、磁矩、质量四极矩天体的引力频移效应(英文)

研究了具有电荷、磁荷、磁矩、质量四极矩天体的引力频移效应 ,所得结果表明 :1)磁矩产生紫移 ,且与角度θ相关 :在θ =0和π时紫移最小 ,θ =π/ 2时最大 . 2 )电荷 ,磁荷与质量四极矩相互作用产生的频移是红移或是紫移由角θ而定 ,当θ =0 ,π时 ,紫移最大 ;当θ =π/ 2时 ,红移最大 ;当θ =arccos (1/ 3)时 ,频移为 0 .3)电荷 ,磁荷与磁矩相互作用产生的频移与荷的正负及角度θ有关 :当θ =0时 ,紫移最大 ;当θ =π时 ,红移最大 .当θ =π/ 2时 ,频移为 0 .

两种电四极矩产生的势

通过分析电四极矩的两个定义的异同,举例分析它们求电势的方法。对于不同的问题可采用不同的电四极矩来求电势,从而深入理解电多极矩法求解静电场问题的意义。

电势多极展开的物理图象

给出电势多极展开中多极子的物理图象 ,并对电四极矩的几个定义式作对照分析。

电多极矩法的研究和探讨

电多极矩法是处理静电场问题的一种简单而实用的方法。本文从电多极矩法的物理图像、电多极矩法的数学证明、简单电荷体系电偶极矩和电四极矩的计算、电四极矩张量的无迹化处理、如何运用电多极矩法计算电荷体系在远处的电势等方面进行了研究和探讨。