Microscopic Mechanism of the ω Variation in Moments of Inertia for the Series of Yrast SD Bands 192—198Pb(1) and 198Po(1)

The variations in moments of inertia (J⁽²⁾ and J⁽¹⁾) with rotational frequency for the series of yrast SD bands in even-even nuclei, ^192—198Pb(1) and ¹⁹⁸Po(1), are investigated by using the particle-number conserving method for treating the pairing interaction (monopole and quadrupole). The observed co variations of J⁽²⁾ and J⁽¹⁾ are reproduced quite well in the PNC calculation, particularly the microscopic mechanism (the contributions from each major shell and each cranked Nilsson orbital) is clearly displayed. It is found that the smooth rise of J⁽²⁾ with ω is attributed to the contribution from the intruder shells (neutron N=7 and proton N=6).     

Investigation of the Type of Quadrupole Pairing Force in Superdeformed Nuclei

The variations of moments of inertia of superdeformed (SD) bands ¹⁹⁴Hg(1)and ¹⁹²Hg(1) with angular momentum (rotational frequency) are investigated using the particlenumber conserving (PNC) method for treating the cranked shell model. Calculations show that if both the monopole and Y₂₀ quadrupole pairing forces are taken into account, the observed co variation of the moments of inertia of ¹⁹⁴Hg(1) and ¹⁹²Hg(1) can be reproduced very well both in the low-and high- ranges, in particular the J⁽²⁾ downturn of ¹⁹⁴Hg(1) and the flattening in J⁽²⁾ of ¹⁹²Hg(1) at>0.40MeV. On the contrast, the calculated J⁽²⁾'s with the Y_2±1 or Y_2±2 quadrupole pairing forces are in disagreement with the experiments. The microscopic mechanism of the co variation of J⁽²⁾ is clearly exhibited in the PNC calculation (the contributions to J⁽²⁾ from various major Shells and individual cranked Nilsson orbitals, the occupancy of each cranked Nilsson Orbital etc). The variation of moment of inertia is the result of the competition among the shell effect (single particle motion in a deformed potential), pairing correlation, Pauli blocking effect and Coriolis (anti-pairing) interaction.     

Microscopic Mechanism of the Variation of the Ground Band Moments of Inertia with Neutron Numbers in 166—176Yb

Using the particle-number-conserving (PNC) method,the microscopic mechanism of the variation of the ground band moments of inertia with neutron numbers in ^166—176Yb is investigated in the cranked shell model (CSM).The K-structure and seniority structure of the PNC CSM wave function are analyzed carefully.The distribution of the low-lying high-j intruder pair-broken (v=2)K^π=1⁺ configurationsplays a crucial role for the magnitude of the ground band moments of inertia.     

凝聚炸药中超压爆轰的实验研究

 采用飞片碰撞技术，在TNT/RDX（40/60）炸药中获得了2.5倍于正常爆轰的最大超压值，得到了超压爆轰下爆轰产物物态方程p=Aρ^{k+A₁(p-p_J)}（p－爆压，单位GPa，ρ－密度，单位kg/m³，A=ρ_J/ρ^k_J，p_J=27.06 GPa，ρ_J=2.3×10³ kg/m³，k=2.77，A₁=2.7×10^-3 GPa^-1，下表J代表正常爆轰状态）。该方程还可以较好地描述超压爆轰产物的二次冲击状态。     

Particle-Number Conserving Analysis for High K Multi-Quasiparticle Bands in Odd-A Deformed Nuclei 173,175Hf

Using the Particle-number Conserving (PNC) method for treating the cranked shell model, the high K multi-quasiparticle bands in odd-A deformed nuclei ^173,175Hf are analyzed, including the variation with rotational frequency of the moment of inertia, angular momentum alignment and occupation probability of each cranked Nilsson orbital. No free parameters are involved in the PNC calculation and the experimental results are reproduced well. The microscopic mechanism of the difference between the multi-quasiparticle high K bands and the yrast bands in neighboring even-even nuclei is investigated, where the blocking effects of high j intruder orbitals near the Fermi surface play a crucial role.     

Pionic degrees of freedom in atomic nuclei and quasielastic knockout of pions by high-energy electrons

The microscopic mechanism of the identical bands in odd-odd nucleus ¹⁹⁴Tl and its neighbor odd-A nuclei ^193,195Tl is investigated using the particle-number-conserving (PNC) method for treating the cranked shell model with monopole and quadrupole pairing interactions. It is found that the blocking effect of the high-j intruder orbital plays an important role in the variation of moments of inertia (J⁽¹⁾ and J⁽²⁾) with rotational frequency for the superdeformed bands and identical bands. The variation of the occupation probability of each cranked orbital and the contributions to moment of inertia from each cranked orbital are presented.     

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.     

PNC METHOD FOR TREATING THE PAIRING CORRELATION IN SPHERICAL NUCLEUS

In this paper the particle-number-conserving method (PNC) for treating pairing correlations in deformed nucleus is extended to treat the spherical nucleus. The properties of the ground state and the lowlying 0⁺ states of even-even isotops nearby ²⁰⁸Pb are calculated with this method.     

J/ψ Physics at BES

Based on 9.0×10⁶ J/ψ data collected at BES, a systematic physics analysis has been Performed. We confirmed the existence of ξ(2230) in J/ψ→γKK and observed for the first time the non-strange decay modes ξ(2230)→π⁺π^－,π⁰π⁰,and pp. The resonance and polarization parameters of f₀(980) and f₂(1270) were measured. The moment stUdy on J/ψ→γK⁺K^－ revealed that the controversial f_J,(1710) is composed of two states, a 0⁺⁺ and a 2⁺⁺. With the help of PWA method, the spin-Parities for η(1440) and f₀(1500) were obtained, and their main decay modes were found.     

Analysis of Three Annihilation Potential andp+ 12C Inelastic Scattering

The inelastic scattering of antiproton (p_lab=600MeV/c) by ¹²C leading to the excitation of the three normal parity T=0 levels is studied in the framework of Glauber model. The transition densities obtained from fitting to the electron scattering data and the three annihilation potentials derived from analysis of pp scattering data are used in the calculation. The inelastic angular distribution for exciting the three lowest normal parity T=0 states in ¹²C at 4.44MeV(J^π=2⁺), 7.66MeV(J^π=0⁺), and 9.63MeV(J^π=3^-) by 600MeV/c antiproton are calculated by selecting potential parameter suitably. The results are seen to be in fairly good agreement with the available experimental data. The results are given by using the elementary two-body amplitudes comparatively.     

A Study for Nuclei 166Hf94—170Hf98 Using Cranking Shell Model with PNC Method

The properties of the band in even nuclei of ¹⁶⁶Hf₉₄—¹⁷⁰Hf₉₈ are investigated using cranking shell model with PNC method. The band crossing frequency, the interaction intensity between yrast and yrare bands, the aligned momentum, and the moment of inertia are calculated. The comparison between the calculation and experimental data shows a good agreement with each other if Lund systematic parameter is used for the Nilsson potential.     

THE SPECTROSCOPY OF FOUR-BARYON SYSTEM

In this paper, using SU(6) symmetry theory four-baryon system is discussed and a method of analyzing experimental spectra is provided. Because of the gound states of _ΛΛ⁴H, _ΛΛ⁴He_{, Λ}⁴He and ⁴He are in the same I. R. of SU(6), on can derives masses for _ΛΛ⁴H, _ΛΛ⁴He from the experimental data of _Λ⁴H, _Λ⁴He, and ⁴He. Calculation shows that these J^π=0⁺ double Λ hypernuclei _ΛΛ⁴H, _ΛΛ⁴He are not likely bound states.     

Theoretical ab initio calculation of the indirect nuclear spin-spin coupling constants of monohetero cyclopropanes and cyclopropenes via the equations-of-motion method

Nonempirical calculations using the equations-of-motion approach, which includes the main portion of electron correlation effects, are reported for the one-bond coupling constants in the three-membered rings borirane, cyclopropane, azirane, oxirane, silirane, phosphirane, and thiirane and related double-bond analogs. The important overall result is that the ¹J(CC) and ¹J(CC) constants are spread over broad ranges, much wider in the case of the double-bond species, with a nearly regular increase with the electronegativity of the central heteroatom. For the boron cycles the smallest ¹J(CC)'s are predicted, with ¹J(CC) surprisingly lower than ¹J(CC). This exceptional pattern is accounted for in terms of the peculiar electronic structure of these rings formed by the electron-deficient B atom. The ¹J(Heteroatom-C), ¹J(Heteroatom-H) and ¹J(CH) couplings correlate correctly with the available experimental data.     

THE REGGE TRAJECTORY OF MESONS AND THE SU(4) MASS RELATIONS

A relativistic equation of motion of a two particle system under the constraints p_i²-m_i²-U(x²)=0.(i=1,2), where U(x²) is an infinite spherical square well poten-tial, is applied to the SU(4) quark model of mesons. A set of linear mass relations areobtained. Instead of the linear relation between J and M², the Regge trajectory ob-tained is a relation between p_nl² and M², where ζ_nlπ are zeros of the spherical Besselfunctions. The new trajectory seems more satisfactory than the former one.     

Rotational properties of the odd-Z transfermium nucleus 255Lr by a particle-number-conserving method in the cranked shell model

Experimentally observed ground state band based on the 1/2-[521] Nilsson state and the first exited band based on the 7/2-[514]Nilsson state of the odd-Z nucleus ~(255)Lr are studied by the cranked shell model(CSM) with the paring correlations treated by the particle-number-conserving(PNC) method. This is the first time the detailed theoretical investigations are performed on these rotational bands. Both experimental kinematic and dynamic moments of inertia(J~(1)and J~(2)) versus rotational frequency are reproduced quite well by the PNC-CSM calculations. By comparing the theoretical kinematic moment of inertia J~(1) with the experimental ones extracted from different spin assignments, the spin 17/2~-→13/2~- is assigned to the lowest-lying 196.6(5) ke V transition of the 1/2~-[521] band, and 15/2~-→11/2~- to the 189(1) ke V transition of the 7/2~-[514] band, respectively. The proton N = 7 major shell is included in the calculations. The intruder of the high- j low-? 1 j_((15)/2)(1/2~-[770]) orbital at the high spin leads to band-crossings at ω≈0.20( ω≈0.25) Me V for the 7/2~-[514] α =-1/2(α = +1/2) band, and at ω≈0.175 Me V for the1/2~-[521] α =-1/2 band, respectively. Further investigations show that the band-crossing frequencies are quadrupole deformation dependent.     

Indirect carbon–carbon spin–spin couplings across one,two and three bonds in pyridine and diazine systems: experiment and theory

An excellent linear correlation is found between a large body of experimental spin–spin carbon–carbon couplings, J(CC), across one, two and three bonds in pyridine and diazine ring systems and the corresponding B3PW91/6‐311++G(d,p)//B3PW91/6‐311++G(d,p) computations. The correlation does not differ significantly from the simplest relationship possible, J(CC)_exp. = J(CC)_calcd., within a small and random spread of about 1 Hz. There are 276 experimental values considered, and 124 out of these are new and come from the present work. The aromatic carbon–carbon couplings vary from ?7.6 through +78.5 Hz. It is shown that the correlation provides a reliable tool for predictions of the signs of aromatic J(CC)'s even if the magnitudes of the latter are of the order of 1 Hz. It is demonstrated, for the first time, that the relatively weak ² J(CC) couplings, in the heteroaromatic systems studied, can bear either sign and span a considerable range of about 11 Hz. The character of the correlation indicates that rovibronic effects on aromatic J(CC)'s and those of nuclear motions on aromatic J(CC)'s are practically negligible. All of this is in a perfect agreement with our recent extensive studies on aromatic J(CC)'s in analogous benzene ring system. Substituent effects on the aromatic J(CC)'s turn out to be significant not only for ¹J(CC)'s but also for most of ³J(CC)'s and ² J(CC)'s, and the computation neatly reciprocates these trends. Copyright © 2008 John Wiley & Sons, Ltd.     

U(B)(6)×U(v)(12)×U(π)(4) DYNAMICAL SYMMETRY IN ODD-ODD NUCLEI

SO^(Bvπ)(6) limit of U^(B)(6)×U^(v)(12)×U^(π)(4) dynamical symmetry in odd-odd nuclei is discussed Energy formula and wave functions are obtained,and exaetd expressions for E₂ trasition rates and and one-nucleon transfer intensities are derived.The spectra of ¹⁹⁸Au₁₁₉ and ¹⁸⁸Ir₁₁₁ are compared with the exprimental values.     

A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION

In this paper the forms of the gluon distribution function at different Q² are discussed with the aid of the three-quarks model associated with dynamical calculations of QCD (the LLA approximation). The Buras-Gaemers parametrization is improved and the gluon distribution functions are obtained. It can be described by a simple parameter form: xG(x, Q²)=xG₁(x, Q²)+xG₂(x, Q²)=[1+B(s)]1(Q²)>2(1-x)^[B(s)]+[1+D(s)]2)>(1-x)^D(s), The form satisfies the QCD evolution equations and does not contradict evidently with existing experimental data. Then the properties of the constituent gluons in a nucleon are analyzed on these basis and it is indicated that the gluon distribution function could be considered as to be made of two different parts-soft and hard parts.     

Time-Odd Component and its Influence on the Properties of 41Ca

The triaxial deformed Relativistic Mean Field (RMF) model including the time-odd component is developed. The magnetic potential and baryon current in ⁴¹Ca and their influence on the magnetic moment, single particle level splitting for time reversal states and other properties are investigated in triaxial deformed RMF model with the spatial-component of vector meson fields by using PK1 effective interaction, which includes the self-coupling of σ and ω meson fields as well as the microscopic correction for the center of mass.     

Filamentation-assisted fourth-order nonlinear process in KTP crystal

We present an experimental investigation of a filamentation-assisted fourth-order nonlinear optical process in KTP crystals pumped by intense 1.53~eV (807~nm) femtosecond laser pulses. Femtosecond light pulses at 2.58~eV (480~nm) are generated by the fourth-order nonlinear polarization (P⁴(ω ₂ ) = χ ⁴(ω ₂ ,ω ,ω ,ω ,- ω ₁ )E³(ω )E^* (ω ₁ ), where E(ω ) corresponds to the pump frequency and E(ω ₁ ) to the supercontinuum generated through filamentation). If the system is seeded by a laser beam at ω ₁ or ω ₂ and there are spatial and temporal overlaps with the pump beam, E(ω ₁ ) and E(ω ₂ ) are simultaneously amplified. When the intensity of the seed laser beam exceeds a certain intensity threshold, the contribution of P⁴(ω ) = χ ⁴(ω ,ω ₁ ,ω ₂ ,-ω, - ω )E(ω ₁ )E(ω ₂ )(E^* (ω))² becomes non-negligible, and the amplification weakens. The conversion efficiency from the pump to the signal at 2.58~eV (480~nm) attains to 0.1%.