z-4排斥位势的Regge极点

对z^-4排斥位势证明了:(1)当|λ|→∞,|argλ|<π/2-ε时,S矩阵元S(λ,k)→1。(2)当|λ|→∞时,有无穷多个极点存在于虚轴的小角邻域内,并且这些极点的实部和虚部同时趋于∞,因此通常的双色散关系不成立。     

非定域位势e-μr/r·e-μr′/r′·e-αR/R及e-μr/r·e-μr′/r′·e(-(β(r+r′))1/2·R))/R的Regge渐近行为

本文证明了两个物理上有兴趣的非定域位势e^-μr/r·e^-μr′/r′·e^-αR/R及e^-μr/r·e^-μr′/r′·e^{(-(β(r+r′))1/2·R)})/R的分波S矩阵元对动量变数k在除沿虚轴的割线(-∞i,0),(μi,∞i)的全平面,对角动量变数λ在右半平面Reλ>-1/2的半纯性和当k,λ分别趋于无穷大时的渐近性质。最后得到了Regge渐近行为。     

一类非定域位势的Regge行为

对一类非定域位势证明了S矩阵元S(λ,k)作为角动量变数λ的函数在Reλ>0半纯,且当λ沿正实轴或负虚轴趋于∞时(S(λ,k)-1)exp(-iπλ)→0。在稍严一些的假设下证明了S(λ,k)在带域|Imk|<μ内对动量变数k半纯。讨论了极点的位置,这类位势在右半平面的Regge极点不一定在第一象限内。     

z~(-4)排斥位势的Regge极点

对z~(-4)排斥位势证明了:(1)当|λ|→∞,|argλ|<π/2-ε时,S矩阵元S(λ,k)→1。(2)当|λ|→∞时,有无穷多个极点存在于虚轴的小角邻域内,并且这些极点的实部和虚部同时趋于∞,因此通常的双色散关系不成立。     

非均匀层中的反波导传播

文中讨论了无切变弹性、介质参数为线性函数的非均匀层中当了H/λ?1时的点源波场(H为层厚,λ为波长),对三种非全反射的界面所形成的反波导传播,进行了理论探讨。在使用温-克-布(W.K.B.)近似下,对场的简正波的频散方程,得到了射线解释。在引用数值反射系数边界条件下,给出以反射系数表征的波动影区的场强公式:为I～1/r e^{(r/2(a/(2H))1/2·ln|V|)},r为距源的水平距离,H为层厚,α为波速梯度。V为层下界面的平面波反射系数。     

Regge极点与π-N散射T=3/2,J=3/2的p波相移

在Khuri的最近的一篇文献中指出,散射振幅f(s,z)的Regge表示中的每一项在z平面上的割线起点,同f(s,z)的z割线起点不符合,这意味着在极点项和背景项之间还存在着某种抵消。这样,Regge表示的极点项并不完全反映Regge极点的全部贡献。因此他建议一个新的表示形式,其中每一项的z平面解析性都同f(s,z)的z解析性相符。Khuri的工作还表明,在某些特殊类型的势散射情况下,可以论证,新的表示(Regge-Khuri表示)的背景项很可能只由λ左半平面(λ=l+1/2)的奇异性所决定,而与右半     

Tc级数解的收敛性质

本文证明了,当|z_ph|c级数解的收敛圆是由奇点决定的,但是只要1/λ<[0.63+3μ⁺(1/Λ₁)] 1/(Λ₁),T_c级数解在收敛圆外仍然是个很好的渐近展开式,其中1/Λ₁=min(|z|,1);μ⁺(x)=(1-2μ^*x)μ^*。 关键词：     

一种新型的两态叠加多模叠加态光场的广义非线性等阶N次方Y压缩

本文根据量子力学中的线性叠加原理,构造了由多模(即q模)相干态的相反态|{-Z_j}〉_q及多模虚相干态的相反态|{-iZ_j}〉_q这两者的线性叠加所组成的一种新型的两态叠加多模叠加态光场|ψ_msc⁽²⁾〉_q.利用新近建立的多模辐射场的广义非线性等阶高阶压缩理论,研究了态|ψ_msc⁽²⁾〉_q的广义非线性等阶N次方Y压缩特性.结果发现,1)当压缩阶数N=2P且P=2m(m=1,2,3,…,…)时,态|ψ_msc⁽²⁾〉_q恒处于N-Y最小测不准态;2)当N=2P且P=2m’+1(m’=0,1,2,…,…)时,如果各模的初始相位φ_j、态间的初始相位差与各单模相干态光场的平均光子数之和∑_j=1^qR_j²即[(θ_pq^(R)-θ_nq^(I))-∑_j=1^qR_j²]满足一定的量子化条件,态|ψ_msc⁽²⁾〉_q可呈现周期性变化的、任意阶的等阶N次方Y压缩效应;3)当N为奇数时,态|ψ_msc⁽²⁾〉_q在一定条件下恒处于N-Y测不准态;4)态|ψ_msc⁽²⁾〉_q与文献21中的态|ψ⁽²⁾〉_q出现部分压缩简并现象,从而更进一步表明压缩简并现象的存在是有某种客观内在联系的.     

一种新型的两态叠加MSCS光场的广义非线性等阶N次方H压缩

本文利用新近建立的多模压缩态理论,详细研究了一种新型的两态叠加多模薛定谔猫态(即MSCS)光场|ψ⁽²⁾〉_q的广义非线性等阶N次方H压缩效应.结果发现:1态|ψ⁽²⁾〉_q是一种典型的非经典光场;当压缩阶数N与腔模总数q这两者之积为偶数,即qN=2p,并且p为奇数亦即p=2m’+1(m’=0,1,2,3,…,…)时,如果各模的初始相位和∑_j=1^qψ_j态间的初始相位差(θ_pq^(I)-θ_nq^(R))、各多模相干态光场的总的平均光子数∑_j=1^qR_j²等满足一定的量子化条件(或者当∑_j=1^qR_j²在总的平均光子数∑_j=1^qR_j²的一系列压缩区内连续取值时),态|ψ(2)〉q总可呈现出周期性变化的、任意阶的广义非线性等阶N次方H压缩效应.2态|ψ⁽²⁾〉_q的第一及第二两个正交分量,其压缩结果(亦即压缩程度和压缩深度)完全相同,但压缩条件不同;两者的等阶N次方H压缩效应呈现出周期性的互补关系.3与文献16相比,本文所研究的态|ψ⁽²⁾〉_q的等阶N次方H压缩效应是比其等阶N次方Y压缩效应更高阶的广义非线性等阶高阶压缩效应.     

非定域位势e~(-μr)/r·e~(-μr'''')/r''''·e~(-αR)/R及e~(-μr)/r·e~(-μr'''')/r''''·e~(-(β(r+r'''')~(1/2)))·R)/R的Regge渐近行为

本文证明了两个物理上有兴趣的非定域位势(e~(-μr))/r·(e~(-μr′))/r′·(e~(-αR))/R及(e~(-μr))/r·(e~(-μr′))/r′·(e-(β(r+r′))~(1/2)·R/R的分波S矩阵元对动量变数k在除沿虚轴的割线(-∞i,0),(μi,∞i)的全平面,对角动量变数λ在右半平面Reλ>-1/2的半纯性和当k,λ分别趋于无穷大时的渐近性质。最后得到了Regge渐近行为。     

Surface relaxation of Pt(111) investigated by ion scattering

The energy levels of some specific forms of screened Coulomb potential, as a function of the perturbation parameter λ, are shown to have a branch cut along the negative real axis, and singularities on the second sheet along $\text{|λ| e}{}^{\mathrm{<mtext>\pm (</mtext><mtext>3</mtext><mtext>2</mtext><mtext>)i\pi </mtext>}}$ for |λ| → 0. As a consequence, the energy levels have an asymptotic series in λ, which cannot be used to describe the energy levels to an arbitrary accuracy.     

Excitation energies and intensities of λπ=0−, 2− charge exchange modes in spherical nuclei

Theβ ^?, (n→p) and (p→n), transition strengths and excitation energies for first forbidden resonances with λ^π=0^? and 2^? in spherical nuclei are calculated in the framework of the linear response theory. The results show that the intensities associated with these modes are strongly fragmented, particularly, for the λ^π=2^? states.     

Spectral resonances which become eigenvalues

The stationary Schrödinger equation is ? _x ² φ + λV(x)φ=zφ for φ∈?²(R ⁺,dx). If the potential is bounded below, singular only atx=0, negative on some compact interval and behaves likeV(x)～1/x ^μ asx→∞ with 2≧μ>0, then the system admits shape resonances which continuously become eigenvalues as λ increases. Here λ>0 and for μ=2 a sufficiently large λ is required. Exponential bounds are obtained on Im(z) as λ approaches a threshold. The group velocity near threshold is also estimated.     

169Tm NMR study of the high-Tc superconductor TmBa2Cu3O6.92

The ground state of Tm³⁺ ion (4t²,³H₆) in a crystal electric field (CEF) of TmBaCuO is a singlet, separated from the lowest excited states by an energy gap of 100÷130 cm^?1. The pulsed NMR of¹⁶⁹Tm nuclei (spinI=1/2) in a magnetically-oriented TmBa₂Cu₃O_6.92 power is studied at temperatures 1.5÷4.2 K. Two sorts of Tm nuclei are observed: rapidly relaxing Tm1 (≥80% of total amount, having relaxation timesT ₁ ⁽¹⁾ ≈35 ms,T ₂ ⁽¹⁾ =80÷250 μs) and slowly relaxing Tm2 nuclei (≦20%,T ₁ ⁽²⁾ =300÷1000 μs). The¹⁶⁹Tm NMR spectra are described by the spin-Hamiltonian ?₁ = ??Σγ _i H _i I _i (i = x,y,z), where |γ _x ⁽¹⁾/2π| = 5.3(1), |γ _y ⁽¹⁾/2π| = 6.6(1), |γ _x ⁽²⁾/2π| = |γ _y ⁽²⁾/2π| = 5.1(1), |γ _z ⁽¹⁾/2π| = |γ _z ⁽²⁾/2π| = 2.3(1) kHz/Oe, and axesx, y, z coincide with the crystal axesa, b, c. The Tm1 and Tm2 nuclei are identified as those belonging to orthorhombic (CEF of D_2h symmetry) and tetragonal (D_4h) phases of the TmBaCuO compound, respectively. Two-exponential and nearly temperature-independent nuclear relaxation is observed at temperatures 1.5÷4.2 K. The smallestT ₂ ⁽¹⁾ -values (≈80 μs) found for the orthorhombic (superconducting) phase in an external field H perpendicular to the crystalc-axis agree fairly well with those one could expect due to the dipole-dipole interaction of thulium nuclei. However, the slowing down of this rapid relaxation of the nuclear transverse magnetization in a field H‖c as well as the origin of unusually largeT ₂ ⁽²⁾ -values remain unclear.     

Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians

We consider the integrated density of states (IDS) ρ_∞(λ) of random Hamiltonian H_ω=?Δ+V_ω, V_ω being a random field on ? ^d which satisfies a mixing condition. We prove that the probability of large fluctuations of the finite volume IDS |Λ|^?1ρ(λ, H_Λ(ω)), Λ ? ? ^d , around the thermodynamic limit ρ_∞(λ) is bounded from above by exp {?k|Λ|},k>0. In this case ρ_∞(λ) can be recovered from a variational principle. Furthermore we show the existence of a Lifshitztype of singularity of ρ_∞(λ) as λ → 0⁺ in the case where V_ω is non-negative. More precisely we prove the following bound: ρ_∞(λ)≦exp(?kλ^?d/2) as λ → 0⁺ k>0. This last result is then discussed in some examples.     

Two-nucleon production of hyperons and the search for strange dibaryons

The double charge exchange reaction³He(K^?,π ⁺)Xn was studied at 870 MeV/c. In the X missing mass range below the sigma-nucleon production threshold (2130 MeV/c²), events were detected which can be attributed to the two-nucleon process pp(K^?,π ⁺)λn. This reaction and mass range also offers good prospects for finding theI=1/2,l=1 (¹ P₁) spin-singlet dibaryon D_s suggested as the lowest massS=?1 dibaryon in the MIT Bag Model. Although the existence of the D_s is not ruled out by the present data, there is no need to invoke such an object to account for the observed events below σ production threshold. We show that the cross section level for these events is compatible with a dominant two-nucleon mechanism K^?p→π ⁰λ,π ⁰p →π ⁺n. We also offer an interpretation of the recent (K^?,K⁺) data on nuclear targets from Iijimaet al., which display a broad peak centered around a K⁺ momentum of 600 MeV/c. We find that the two-nucleon mechanism K^?N →πY,πN→K⁺Y produces cross sections which are at least an order of magnitude smaller than those observed, and we suggest that the one nucleon process K^?p →Φλ, followed by the decayΦ → K⁺K^?, accounts for the data.     

Experimental Study of Resonance f2(1270) in the J/ψ Hadronic Decay

Based on the 2.5 million J/ψ's collected by the BES at BEPC,through the hadronic decay J/ψ→ωf₂(1270),f₂(1270)→π⁺π^－,ω→π⁺π^－π⁰,the properties of the resonance f₂(1270) are studied:its mass,width,and branching ratio.the angular distribution is fitted with maximum likelihood methood,determining its.J^PC=2⁺⁺ and giving in the first time the helicity amplitude ratios of this process as:x=0.99±0.29; y=－0.24±0.17; z₁=0.90±0.57;z₂=0.56±0.22.