Adjoint representation admixture to weak nonleptonic decays in SU(4) and SU(8)

In order to remove some of the unsatisfactory features of the GIM model, we consider15-admixture in SU(4). ΔC=±ΔS decays remain unaffected. Lee-Sugawara sum-rule is obtained.15-admixture is extended then to63-admixture in SU(8). The most general Hamiltonian (H _w∼63⊕720⊕1232) in SU(8) is found to give Lee-Sugawara relation and Σ₊ ⁺=0 forS-wave decays of uncharmed baryons. Decay amplitude relations for ΔC=−1, ΔS=0 mode are obtained.     

New 3-mode bosonic operator realization of SU（2） Lie algebra： From the point of view of squeezing

We consider the quantum mechanical SU(2) transformation e2λ JzJ± e-2λJz= e±2λJ± as if the meaning of squeezing with e±2λbeing squeezing parameter. By studying SU(2) operators(J±,Jz) from the point of view of squeezing we find that(J±,Jz) can also be realized in terms of 3-mode bosonic operators. Employing this realization, we find the natural representation(the eigenvectors of J+ or J-) of the 3-mode squeezing operator e2λ Jz. The idea of considering quantum SU(2) transformation as if squeezing is liable for us to obtain the new bosonic operator realization of SU(2) and new squeezing operators.     

Mixing of meson isosinglets in SU(5) and an extension to SU(N)

The mixing angles of meson isosinglets belonging to the 24-dimensional and singlet representations of SU(5) are calculated under specific assumptions in the non-relativistic quark model. The procedure to extend the scheme to SU(N) has been outlined. The results have been compared with other earlier estimates.     

A numerical study of SU(3) charge-two monopoles with minimal symmetry breaking

Charge-two SU(3) monopoles with minimal symmetry breaking can be generated via Nahm's equations. This paper investigates the detailed structure of such monopoles, through explicit calculation of the energy density, and the norm and discriminant of the Higgs field. Monopoles may be classified according to the maxima and minima of these quantities.     

SU(3)下的美介子半轻子衰变

强相互作用中近似成立的SU(3)对称性被用来分析美介子半轻子三体和四体衰变,获得了衰变宽度之间的一些SU(3)联系.这些联系可以为了解美介子半轻子衰变中产生的各种动力学效应的性质提供一些信息.     

Sum rules for the baryon20, baryon20′ and meson 16-plet coupling constants in broken SU (4) and SU (3) symmetry

Sum rules for the coupling constants for D (20), B (20′) and P (16) are given taking into account first order breaking of SU (4) and SU (3) symmetries. The D (20) and B (20′) contain the usual 3/2⁺ baryon decuplet and 1/2⁺ baryon octet of SU (3), while the P (16) contains the usual pseudoscalar octet of pions, etc. These sum rules generalize the decuplet → octet + octet sum rules of broken SU (3 to a broken SU (4) symmetry scheme, in particular the charm SU (4) for hadrons. It is pointed out that, of the many sum rules, it may be possible to check some of them experimentally (see Section 5) and thus provide a test for an underlying SU (4 symmetry for strong interactions.     

Baryon masses in the SU(4) skyrme model

We consider the SU(4) Skyrme model with explicit chiral and flavour symmetry-breaking terms. Using the masses of the 15-plet pseudoscalar mesons as the input, we calculate the masses of the 20-plet baryons. The baryon masses predicted by this model agree with results based on quark model to about 15%. We find that the generalized Gell-Mann Okubo mass relation is very well satisfied.     

SU (3) Chern-Simons field theory in three-manifolds

We present the solution of the non-Abelian SU (3) Chern-Simons field theory defined in a generic three-manifold which is closed, connected and orientable. The surgery rules, which permit us to solve the theory, are derived and several examples of vacuum expectation values of Wilson line operators are computed. The three-manifold invariant associated with the non-Abelian SU (3) Chern-Simons model is defined and its values are computed for various three-manifolds.     

(CuIn)_n(n=1,2)小团簇的结构与稳定性的从头算理论研究

本文采用从头算理论MP2方法研究了合金团簇(Cu In)n(n=1,2)的结构和稳定性.计算得到的双原子分子Cu In几何参数、频率和解离能跟实验数据十分吻合.(Cu In)2团簇有五个稳定结构,基态结构是具有1A1/C2v对称性的蝴蝶结构,结合能为6.57 e V.将计算结果与同族元素体系(Cu Al)2和(Cu Tl)2对比,无论是在构型上,还是在电子特性上都有相似性.文中给出了(Cu In)2稳定构型的电子结合能能谱,希望在实验上得以验证.     

Chiral SU(4) × SU(4) breaking: masses and decay constants of charmed hadrons

The (4, 4*) ⊕ (4*, 4) model of broken chiral SU (4) × SU (4) symmetry has been used to calculate the third-order coupling constants involving charmed and ordinary pseudoscalar mesons. These coupling constants are exploited to derive some interesting new relations among the masses and decay constants of these charmed particles. Using the known masses and decay constants as inputs, we exploit these relations to predict:F _D = −1·41F _π ,F _F = −1·13F _π ,F _D/F_F = 1·25,m(D _s) = 1·43 GeV,m(F _s) = 1·39 GeV andm(K _s) = 1·02 GeV.     

Magnetic moments of baryons in broken SU(4)

Assuming that the anomalous magnetic moment interaction has the formaT ₁ ¹ +bT ₂ ² +cT ₄ ⁴ +sT _α ^α in SU(4), which may arise due to symmetry breaking or some other dynamical effects, we have obtained the magnetic moments and the transition moments of the ordinary and charmed baryons.     

反应前驱物中n(S)∶n(Cd)对CdS薄膜结构及发光特性的影响

采用化学水浴以CdCl2·H2O、CS( NH2)2、NH4Cl、NH3·H2O和去离子水作为反应前驱物制备CdS纳米晶薄膜.采用扫描电镜( SEM)、X射线衍射(XRD)、透射光谱和稳态荧光光谱,研究了反应前驱物中不同的n(S)∶n(Cd)对所制备的CdS薄膜的形貌、结构和光学性能的影响.结果表明:反应前驱物中n(S...     

Enhancement of Sensitivity by Initial Phase Matching in SU(1,1) Interferometers

We derive a general phase-matching condition(PMC) for enhancement of sensitivity in SU(1,1) interferometers. Under this condition, the quantum Fisher information(QFI) of two-mode SU(1,1) interferometry becomes maximal with respect to the relative phase of two modes, for the case of an arbitrary state in one input port and an even(odd) state in the other port, and the phase sensitivity is enhanced. We also find that optimal parameters can let the QFI in some areas achieve the Heisenberg limit for both pure and mixed initial states. As examples, we consider several input states: coherent and even coherent states, squeezed vacuum and even coherent states, squeezed thermal and even coherent states. Furthermore, in the realistic scenario of the photon loss channel, we investigate the effect of photon losses on QFI with numerical studies. We find the PMC remains unchanged and is not affected by the transmission coefficients for the above input states. Our results suggest that the PMC can exist in various kinds of interferometers and the phase-matching is robust to even strong photon losses.     

簇合物(I2InN3)n (n=1-4)的结构和稳定性的理论研究

为寻求单一源前驱体,采用密度泛函理论DFT-B3LYP方法系统研究新的第IIIA主族叠氮簇合物的结构与性质关系。结果表明,簇合物(I2InN3) n (n=2-4)的优化构型均为由不同子体系的叠氮基α−N和In原子相连形成的环状结构,叠氮基以直线型存在。研究了几何参数随聚合度的变化趋势,并对计算获得的IR谱进行归属。能量和聚合焓均揭示簇合物的稳定性次序为3A>3B和4B>4C>4A>4D。簇合物(I2InN3)n (n=1-4)的热力学函数随温度升高和聚合度n增大而増加。热力学分析表明聚合反应在温度高达500 K均可自发进行。     

密度泛函理论研究簇合物(HFGaN_3)_n(n=1-6):尺寸效应

用密度泛函理论DFT方法,计算研究不对称簇合物(HFGaN_3)_n(n=1-6)的几何构型、稳定性、IR谱和热力学性质.结果表明,簇合物(HFGaN_3)_n(n=2-6)的优化构型拥有一个Ga和α-N原子交替的2n元环状结构.通过计算研究(HFGaN_3)_n(n=1-6)的平均结合能、二阶能量差分和能隙与团簇尺寸关系,发现后两者表现出明显的"奇—偶"振荡现象.对计算获得的IR谱进行归属,获得四个特征区.讨论了团簇尺寸和温度对(HFGaN_3)_n(n=1-6)热力学函数的影响.由焓变和吉布斯自由能可知,200-800K温度范围内由单体形成稳定的多聚体(HFGaN_3)_n(n=2-6)在热力学上有利.     

密度泛函理论研究簇合物(HFGaN3)n (n=1-6)：尺寸效应

用密度泛函理论DFT方法,计算研究不对称簇合物(HFGaN3)n (n=1-6)的几何构型、稳定性、IR谱和热力学性质。结果表明,簇合物(HFGaN3)n (n=2-6)的优化构型拥有一个Ga和α−N原子交替的2n元环状结构。通过计算研究(HFGaN3)n (n=1-6)的平均结合能、二阶能量差分和能隙与团簇尺寸关系,发现后两者表现出明显的“奇－偶”振荡现象。对计算获得的IR谱进行归属,获得四个特征区。讨论了团簇尺寸和温度对(HFGaN3)n (n=1-6)热力学函数的影响。由焓变和吉布斯自由能可知,200-800 K温度范围内由单体形成稳定的多聚体(HFGaN3)n (n=2-6)在热力学上有利。     

Parity violating non-leptonic decays of hyperons and of charmed baryons in SU (8)

The parity violating non-leptonic decays of hyperons and of charmed baryons are discussed in the framework of SU (8) symmetry. Several relations in addition to the ones obtained earlier by using SU (4) symmetry and20″-dominance, are obtained. The assumption of20″-dominance at the SU (4) level is no longer required for explaining the non-leptonic decays of 1/2⁺ baryons.