高剥离态离子谱学研究

利用“星光”Ⅰ激光装置，聚焦激光束于真空室内平面箔靶，产生高离化态等离子体，分别用四个不同晶格间距的平晶摄谱仪和１ｍ掠入射光栅谱仪测量了２２Ｔｉ、２６Ｆｅ、２８Ｎｉ、２９Ｃｕ、３０Ｚｎ、３２Ｇｅ等中Ｚ元素及７２Ｈｆ、７３Ｔａ、７４Ｗ、７５Ｒｅ等高Ｚ元素的高离化态离子发射谱，其波长为３．６－３００分别用组态相互作用的Ｈａｒｔｒｅｅ－Ｆｏｃｋ－Ｒｅｌａｔｖｉｓｔｉｃ（ＨＦＲ）方法和多组态的Ｄｉｒａｃ－     

类镍离子（HfXL Ⅴ—ReXLⅧ）能级和振子强度的理论计算

利用多组态Ｈａｒｔｒｅｅ—Ｆｏｃｋ—Ｒｅｌａｔｉｖｉｓｔｉｃ（ＨＦＲ）理论系统地从头计算了类镍离子（ＨｏＬⅤ－ＲｅＸＬⅧ）的能级、电偶极跃迁波长和振子强度。计算结果与实验符合得较好，为我们的高Ｚ元素激光等离子体光谱实验分析提供了重要依据。     

类镍离子（HfXL Ⅴ—ReXLⅧ）能级和振子强度的理论计算

利用多组态Ｈａｒｔｒｅｅ—Ｆｏｃｋ—Ｒｅｌａｔｉｖｉｓｔｉｃ（ＨＦＲ）理论系统地从头计算了类镍离子（ＨｏＬⅤ－ＲｅＸＬⅧ）的能级、电偶极跃迁波长和振子强度。计算结果与实验符合得较好，为我们的高Ｚ元素激光等离子体光谱实验分析提供了重要依据。     

类氧离子CoⅩⅩ,NiⅩⅪ,CuⅩⅩⅡ和ZnⅩⅩⅢ精细结构能级…

本文用相对论多组态Ｄｉｒａｃ－Ｆｏｃｋ广义平均能级（ＭＣＤＦ－ＥＡＬ）模型计算了可能成为激光工作物质的类氧离子ＣｏⅩⅩ，ＮｉⅩⅪ，ＣｕⅩⅩⅡ和ＺｎⅩⅩⅢ的４８个精细结构能级和９３个３ｓ－３ｐ跃迁波长。３ｐ组态能级和３ｓ－３ｐ跃迁波长是本文首次预言的。     

电离度与类H离子电离能关系的研究

研究了类Ｈ离子电离能与电离度ΔＺ（离子电荷数）之间的关系,给出了类Ｈ离子各电离态电离能的计算公式,并对所有类Ｈ离子的电离能进行了计算。与实验结果或相对论多组态ＤｉｒａｃＦｏｃｋ方法的结果比较,得到了较满意的结果。     

类氧离子CoⅩⅩ，NiⅩⅪ，CuⅩⅩⅡ和ZnⅩⅩⅢ精细结构能级和跃迁波长的MCDF计算

本文用相对论多组态Ｄｉｒａｃ－Ｆｏｃｋ广义平均能级（ＭＣＤＦ—ＥＡＬ）模型计算了可能成为激光工作物质的类氧离子ＣｏⅩⅩ，ＮｉⅩⅪ，ＣｕⅩⅩⅡ和ＺｎⅩⅩⅢ的４８个精细结构能级和９３个３ｓ—３ｐ跃迁波长。３ｐ组态能级和３ｓ—３ｐ跃迁波长是本文首次预言的。     

电离度与类HY了子电离能关系的研究

研究了类Ｈ离子电离能与电离度△Ｚ（离子电荷数）之间的关系，给出了类Ｈ离子各电离态电离能的计算公式，并对所有类Ｈ离子的电离能进行了计算。与实验结果或对论多组态Ｄｉｒａｃ－Ｆｏｃｋ方法的结果比较，得到了较满意的结果。     

类锂碳离子能级,波函数和跃迁几率

用组态相互作用程序ＣＩＶ３计算了类锂碳离子能级、波函数和跃迁几率，并与相对论多组态ＤｉｒａｃＦｏｃｋ程序ＭＣＤＦ的计算结果进行了比较。两种方法的结果符合得很好。     

ThLⅩⅩⅩⅢ和ULⅩⅩⅩⅤ离子的能级和相干辐射波长计算

本文用相对论多组态Ｄｉｒａｃ－Ｆｏｃｋ广义平均能级（ＭＣＤＦ－ＥＡＬ）模型计算了自然界中天然存在的重稳定元素Ｔｈ和Ｕ的类氧离子能级和相干辐射波长值。     

类Ne铜离子双电子复合过程辐射跃迁几率的MCDF计算

在组态相互作用的ｊ－ｊ耦合下，用相对论多组态Ｄｉｒａｃ－Ｆｏｃｋ（ＭＣＤＦ）方法计算类Ｎｅ铜离子（２９Ｃｕ１９＋）双电子复合过程的辐射跃迁几率。在计算中涉及了大量的双激发态的和单激发态的相对论组态函数，得出了所有可能的跃迁几率，精选得出最可能的跃迁结果。文中所使用的相对论ＭＣＤＦ方法克服了其他方法诸如在相对论效应、组态相互作用等方面的缺陷，从而获得了很好的结果。所得的结果可用于进一步计算类Ｎｅ铜离子的双电子复合系数     

Study of W-boson polarisations and triple gauge boson couplings in the reaction e+e-→W+W- at LEP 2

A determination of the single W spin density matrix (SDM) elements in the reaction e⁺e^-→W⁺W^-→lνqq̄(l=e/μ) is reported at centre-of-mass energies between 189 and 209 GeV. The data sample used corresponds to an integrated luminosity of 520 pb^-1 taken by DELPHI between 1998 and 2000. The single W SDM elements, ρ_ττ’ ^W± (τ,τ’=± 1 or 0), are determined as a function of the W^- production angle with respect to the e^- beam direction and are obtained from measurements of the W decay products by the application of suitable projection operators, Λ_ττ’, which assume the V-A coupling of the W-boson to fermions. The measured SDM elements are used to obtain the fraction of longitudinally polarised Ws, with the result: at a mean energy of 198 GeV. The SDM elements are also used to determine the triple gauge couplings Δg₁ ^Z,Δκ_γ,λ_γ and g₄ ^Z, and . For the CP-violating couplings the results of single parameter fits are: The errors are a combination of statistical and systematic errors. All results are consistent with the Standard Model.     

Hierarchy of Poisson brackets for elements of a scattering matrix

The infinite family of Poisson brackets between the elements of a scattering matrix is calculated for the linear matrix spectral problem.     

Affine Crystal Graphs And Two-Colored Partitions

We define the cores and the quotients of the elements in the crystal graph of the basic representation of or , and then obtain new combinatorial interpretations of the character and the string function formula. Mathematics Subject Classifications (2000). 17B37, 05A17.     

<Emphasis Type="Italic">p</Emphasis>-adic Superspaces and Frobenius

The notion of a p-adic superspace is introduced and used to give a transparent construction of the Frobenius map on p-adic cohomology of a smooth projective variety over (the ring of p-adic integers), as well as an alternative construction of the crystalline cohomology of a smooth projective variety over (finite field with p elements). Partly supported by NSF grant No. DMS 0505735.     

On Khalfin’s improvement of the LOY effective Hamiltonian for neutral meson complex

The general properties of the effective Hamiltonian for the neutral meson system improved by Khalfin in 1980 are studied. It is shown that contrary to the standard result of the Lee–Oehme–Yang (LOY) theory, the diagonal matrix elements of this effective Hamiltonian cannot be equal in a CPT invariant system. It is also shown that the scalar product of short, , and long, , living superpositions of neutral kaons cannot be real when CPT symmetry is conserved in the system under consideration, whereas within the LOY theory such a scalar product is real. PACS 03.65.Ca; 11.10.St; 11.30.Er; 13.20.Eb; 13.25.Es     

Two-step laser excitation of the highly excited even-parity states of atomic mercury

We report term energies and quantum defects of highly excited even-parity states of mercury in the 83 876–84 140 cm^-1 energy range, employing a two-step laser excitation scheme via the S₀↦6s6p³P₁ inter-combination transition. Two dye lasers, pumped by a common Nd:YAG laser, were frequency doubled by BBO crystals and used to record the spectra in conjunction with a thermionic diode ion detector. Our new observations include the much extended D₂ (22 ≤n ≤52) series and a few members of the S₁ (24 ≤n ≤30) Rydberg series. Members of the D₂ Rydberg series with such a high n value are reported for the first time. The relative intensities of the D₂ and S₁ transitions (m = 4, 5 and 6) of group II-B elements excited from the P₁ inter-combination states are also discussed.     

The CPT Group of the Dirac Field

Using the standard representation of the Dirac equation, we show that, up to signs, there exist only two sets of consistent solutions for the matrices of charge conjugation (C), parity (P), and time reversal (T), which give the transformation of fields , and , where and . These sets are given by , , and , , . Then , and two successive applications of the parity transformation to fermion fields necessarily amount to a 2 rotation. Each of these sets generates a non abelian group of 16 elements, respectively, and , which are non isomorphic subgroups of the Dirac algebra, which, being a Clifford algebra, gives a geometric nature to the generators, in particular to charge conjugation. It turns out that and , where is the dihedral group of eight elements, the group of symmetries of the square, and 16E is a non trivial extension of by , isomorphic to a semidirect product of these groups; S₆ and S₈ are the symmetric groups of six and eight elements. The matrices are also given in the Weyl representation, suitable for taking the massless limit, and in the Majorana representation, describing self-conjugate fields. Instead, the quantum operators C, P and T, acting on the Hilbert space, generate a unique group , which we call the CPT group of the Dirac field. This group, however, is compatible only with the second of the above two matrix solutions, namely with , which is then called the matrix CPT group. It turns out that , where is the dicyclic group of 8 elements and S₁₀ is the symmetric group of 10 elements. Since , the quaternion group, and , the 0-sphere, then .     

Decay properties of neutron-deficient isotopes of elements from Z = 101 to Z = 108

In a series of experiments performed at the velocity filter SHIP, new or improved decay data of neutron-deficient isotopes of elements from mendelevium (Z = 101) to hassium (Z = 108) were obtained. In particular, evidence for -decay or electron capture from isomeric states in ²⁶⁵Hs and ²⁵⁸Db was found.