Manifestation of tensor magnetic polarizability of the deuteron in storage ring experiments

It was previously shown that the tensor magnetic polarizability of the deuteron causes the spin rotation with two frequencies and experiences beating for polarized deuteron beams in storage rings. We confirm an existence of this effect and derive general formulae describing deuteron spin dynamics. It is found that an initially tensor polarized deuteron beam can acquire a final horizontal vector polarization of order of 1%. This effect allows to measure the tensor magnetic polarizability of the deuteron in storage ring experiments.     

Effect of the deuteron anisotropy: Longitudinal and transverse components of the electric dipole polarizability

The anisotropy effect of the electric polarization (stretching) of the deuteron in the Coulomb field, caused by the tensor character of the nuclear force, is investigated. The values of the longitudinal (with the major axis, or the spin of the deuteron, directed along the electric field), and transverse components of the deuteron electric dipole polarizability that correspond to the low-energy n-p data, are predicted to be α₆ = 0.669 fm³ and α_⊥ = 0.555 fm³ (the potential YYm). The values of the major and minor semi-axes of the deuteron are calculated.     

Measurement of quadrupole moments of unstable nuclei during channeling and the possibility of revealing the effect of vector polarization of tensor-polarized beams of nuclei

General relations are deduced which describe the spin dynamics of beams of nuclei with the initial tensor and vector polarizations upon planar channeling in bent crystals. Our analysis demonstrates the possibility of revealing the effect of vector polarization, as predicted by Baryshevsky and Sokolsky, which occurs upon the planar channeling of a beam of nuclei with initial tensor polarization. The planar channeling of a beam of nuclei with the initial tensor and vector polarizations may be used to determine the quadrupole moments of unstable nuclei with a small lifetime of up to the order of 10^?7 s. The quadrupole moments of nuclei with a lifetime on the order of 10^?7 s cannot be measured by known techniques, including optical methods.     

Vector polarization effect appearing in tensor polarized beams of nuclei under channeling conditions and during measurements of the quadrupole moments of unstable nuclei

General relations describing the spin dynamics of beams of nuclei with initial tensor and vector polarizations have been derived upon planar channeling in bent crystals. The performed analysis indicates that the vector polarization effect predicted by Baryshevsky and Sokolsky can be detected, occurring upon the planar channeling of a beam of nuclei with initial tensor polarization. The planar channeling of a beam of nuclei with initial tensor and vector polarizations can be used to determine the quadrupole moments of unstable nuclei with small lifetimes, up to 10⁻⁷ s. The quadrupole moments of nuclei with lifetimes of about 10⁻⁷ s cannot be measured via known methods, including optical methods.     

First spin flipping of a stored spin-1 polarized beam

We recently studied spin flipping of a 270 MeV vertically polarized deuteron beam stored in the Indiana University Cyclotron Facility Cooler Ring. We adiabatically swept an rf solenoid's frequency through an rf-induced spin resonance and observed its effect on the deuterons' vector and tensor polarizations. After optimizing the resonance crossing rate and maximizing the solenoid's voltage, we measured a vector spin-flip efficiency of 94.2%+/-0.3%. We also found striking behavior of the spin-1 tensor polarization.     

Measurement of tensor polarization of a deuteron beam passing through matter

The results of measurements and the handling procedure of data on the tensor polarization of the deuteron beam arising as the beam passes through matter obtained at the Nuclotron during the June 2008 run using an extracted unpolarized 5 GeV/c deuteron beam are described. The effect observed is compared with calculations made in the framework of the Glauber multiple-scattering theory.     

Observation of tensor polarization of deuteron beam traveling through matter

The tensor polarization of the deuteron beam arising as deuterons pass through a carbon target was measured. The experiment was performed with an extracted unpolarized 5-GeV/c deuteron beam of the Nuclotron. The effect observed is compared with the calculations made using the Glauber multiple scattering theory. The text was submitted by the authors in English.     

Exchange effects in photon scattering off the deuteron

Detailed calculations of elastic photon-deuteron scattering cross sections for photon energies up to about the π-production threshold are presented. The scattering amplitude is decomposed into scalar, vector and tensor polarizabilities for the various electric and magnetic multipole combinations. This includes a general multipole expansion of the two-photon operator. The imaginary part of the polarizabilities is determined from the contribution to the total cross section using the optical theorem. The real part is then obtained from dispersion relations. Special emphasis is laid on the discussion of exchange effects for both the resonance and the two-photon amplitude. These affect strongly the resonance amplitude whereas for the two-photon amplitude we find only a small effect beyond the important low-energy limit. Another important result is the large vector polarizability at higher energies related to the optical activity of the deuteron.     

Deuteron beam polarimetry at the nuclotron

The scheme of the deuteron beam polarization measurements at Nuclotron are presented. A deuteron beam polarimeter based on the spin-asymmetry measurements in the dp-elastic scattering at large angles in center-of-mass system has been constructed at the internal target station at the Nuclotron of JINR. This polarimeter is planned to use for the measurements of the vector and tensor components of deuteron beam polarizations at the energies 270–2000 MeV simultaneously. Details on the low energy polarimeters are also discussed.     

Radiative corrections to polarization observables in elastic electron-deuteron scattering in hadronic variables

Model-independent QED radiative corrections to polarization observables in the elastic scattering of unpolarized and longitudinally polarized electron beam by a deuteron target are calculated. Two experimental setups are considered: the deuteron target is arbitrarily polarized, or the vector and/or tensor polarization of the recoil deuteron is measured. The calculations are based on taking all essential Feynman diagrams into account and using the covariant parametrization of the deuteron polarization state. The radiative corrections are calculated for the hadronic variables using invariant integration of the leptonic tensor. Numerical estimates of the radiative corrections to the polarization observables are made for various values of the kinematical vari-ables.     

Interaction of a supersonic beam of toluene with a resonant RF electric field

Deflection of a cold supersonic toluene beam seeded in He has been observed when these molecules interact with both a static and a resonant oscillating electric field. The toluene beam splits into two beams each one peaking at a deflection angle of 1 degree towards the positive and negative direction of the Stark field when the employed resonant frequency between the two Stark levels of the toluene molecule is 1411 kHz. This deflection angle is about four orders of magnitude higher than the value one would expect from the toluene dipole moment and the employed RF field gradient. Different hypothesis are suggested to explain the observed strong beam splitting including the possibility of transverse beam interferences induced by both the resonant RF field and the transverse uniform electric field. A theoretical model is presented based on molecular beam interferences induced by the resonant RF field which seems to account satisfactorily for the present observations.     

Interaction of polar molecules with a resonant RF electric field: strong deflection of a NO molecular beam

Deflection of a cold supersonic NO beam seeded in He has been observed when these molecules interact with both static and a resonant oscillating electric field. The NO beam splits into two beams each one deflecting about 0.5° towards the positive and negative direction of the Stark field when the employed resonant frequency between the two Stark levels of the NO molecule is 1515 kHz. This deflection angle is about four orders of magnitude higher than the value one would expect from the NO dipole moment and the employed RF field gradient. This phenomenon suggests the possibility of a significant translational motion perpendicular to the beam axis, which is induced by the resonant RF electric field on the cold and high-density supersonic beam.     

预调制型同轴虚阴极振荡器数值模拟

提出一种高效率预调制型同轴虚阴极振荡器,进行了数值模拟研究。研究表明:径向束流预调制型同轴虚阴极振荡器利用在束-波互作用区加载金属圆环形成谐振腔,改变束-波互作用区的电场,对电子束进行调制。圆筒形金属形成的调制腔产生的电场既对电子束进行了调制,同时对微波频率进行了锁定,其谐振频率主要是由加载的金属圆筒的长度和两个圆筒之间的径向距离决定。经过优化设计,在600 kV,73 kA无外加引导磁场的条件下,预调制型同轴虚阴极振荡器获得了平均功率6 GW,频率为2.575 GHz的微波输出,效率达到13.94%。     

QED corrections in deep-inelastic scattering from tensor-polarized deuteron target

The leading-log model-independent radiative corrections to deep-inelastic scattering of an unpolarized electron beam from the tensor-polarized deuteron target have been considered. The calculation is based on the covariant parameterization of the deuteron quadrupole polarization tensor and the use of the Drell-Yan-like representation in electrodynamics to describe the radiation of real and virtual particles by the initial and scattered electron.     

电子注对谐振腔中TM模式谐振频率和电磁场分布的影响

将电子注视为等离子体柱,从填充等离子体柱的谐振腔的物理模型出发,推导了圆柱腔填充中心电子注时TM0m0模式的特征方程,并重点分析了填充电子注的圆柱腔中TM010模式和TM020模式的谐振频率和电磁场分布随等离子频率的变化情况。研究结果表明,随着电子注的等离子体频率不断增大,谐振频率也不断增大,谐振腔内电场和磁场的分布也随之发生改变。当电子注的等离子体频率超过谐振腔的谐振频率时,谐振腔内的电磁场分布将发生很大的变化,出现了电子注内外电场方向相反和趋肤效应等现象。     

Vacuum correlators of the electromagnetic field and the Casimir-Polder forces in the field of a cosmic string

Vacuum correlators of the electric and magnetic fields are calculated in the geometry of a cosmic string. Formulas for the vacuum expectation values for the squares of field components are derived. The forces acting on an atom due to the vacuum fluctuations (Casimir-Polder forces) are investigated. For atoms with isotropic tensor of polarizability these forces are attractive with respect to the string. In the anisotropic case, depending on the eigenvalues of the polarizability tensor, the Casimir-Polder forces can be either attractive or repulsive.     

S波段多注相对论速调管放大器的数值模拟

利用3维电磁场与粒子模拟软件对S波段多注相对论速调管放大器进行了分析设计和模拟计算。通过对谐振腔本征模的计算确定腔体的冷腔高频特性,采用3维的粒子模拟软件（PIC）模拟分析速调管各腔及整管的束波互作用过程。模拟结果表明:通过引入同轴谐振腔结构,使电子注不必集中在谐振腔中心通过,降低了电场不均性对束波互作用的不利影响;通过引入多电子注,电子在相对较低的轴向聚焦磁场下依然拥有较高的通过率,降低了速调管对聚焦磁场的要求。模拟中采用3个同轴谐振腔进行束波互作用,在输入电压700 kV、束流5.8 kA和聚焦磁场0.4 T的情况下,得到了功率1.4 GW的输出微波,效率为35%。     

Measurement of the tensor structure function b1 of the deuteron

The Hermes experiment has investigated the tensor spin structure of the deuteron using the 27.6 GeV/c positron beam of DESY HERA. The use of a tensor-polarized deuteron gas target with only a negligible residual vector polarization enabled the first measurement of the tensor asymmetry A(d)zz and the tensor structure function b(d)1 for average values of the Bjorken variable 0.01< <0.45 and of the negative of the squared four-momentum transfer 0.5 GeV2 < <5 GeV2. The quantities A(d)zz and b(d)1 are found to be nonzero. The rise of b(d)1 for decreasing values of x can be interpreted to originate from the same mechanism that leads to nuclear shadowing in unpolarized scattering.     

On the interaction of a beam of polar molecules with a static and a resonant RF field as a source of molecular interferences

A molecular beam interference model is presented based on a two-state interaction between a polar molecule and a resonant RF field as it occurs in the so-called C-field of a typical molecular beam electric resonant spectrometer. The treatment shows the onset of interferences in the beam transmission spectra as well as in its transverse profile. It is demonstrated how the molecular interferences are originated by the wavefunction phase shift introduced by the resonant RF field. Furthermore it is shown that for a given beam velocity and oscillating field frequency the fringes’ visibility depends on the strength of the RF field, i.e. the Rabi frequency, in the transmission spectra. Likewise the presence of a RF field gradient in the perpendicular beam direction gives rise to a peak structure in the transverse beam profile. The theoretical model was applied to simulate a variety of beam transmission spectra under resonant conditions as well as some experimental data already published by our group showing a satisfactory agreement between experimental and simulated data. Finally, the potentiality of this internal state molecular interferometer to carry out studies in matter-wave interferometry is remarked.     

On the role of deuteron polarizability in very-low-energy nuclear reactions

It is shown that contrary to previous claims the polarizability of the deuteron has a negligible effect on the total inelastic cross section of very-low-energy reactions involving deuterons.