THE MACQM CALCULATION OF THE TOTAL ENERGY CURVE OF THE BODY-CENTERED CUBIC STRUCTURE OF THE H_9~- CLUSTER

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DOES PARISI'S SOLUTION OF THE SHERRINGTON-KIRKPATRICK MODEL LOCATE ON THE ABSOLUTEMAXIMUM OF THE FREE ENERGY?

In the spin glass phase near the critical temperature we find in aparticular replica symmetry breaking pattern an order parameter with free energy greater than that of the Parisi's.     

VARIATION OF THE INTENSITY OF ULTRAHIGH ENERGY γ-RAYS WITH ALTITUDE

Intensities of ultrahigh energy γ-rays observed in Chinese emulsion chamber experi ments at several altitudes, including Yunnan Station (3200 m), Mt. Kambala (5500 m), and the foot of Mt. Qomolangma (Everest, 6500m) are summarized. An intensity altitude relation and in particular, the attenuation length of γ-rays at the foot of Mt. Qomolangma are presented.     

ON THE CONTROL OF RINGING NOISE EXCITED BY IMPACT II:THE ENERGY OF RINGING NOISE AND THE BUFFERING OF THE IMPACT

In the first of these two papers,the expression for the total energy of vibration excited by impacthas been obtained.In this paper the energy equation of ringing noise was derived from the resultof the first paper.This energy equation indicates the approaches to control ringing noise.Thebuffering method was discussed here in detail.The experiment which has been conducted was describedalso.     

THE MACQM CALCULATION OF THE TOTAL ENERGY CURVE FOR THE ICOSAHEDRAL CENTRAL STRUCTURE OF THE CLUSTER H_13~-

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THE DETERMINATION OF ENDPOINT ENERGY FOR 235Th β-DECAY

Sources of ²³⁵Th were prepared by 14MeV neutron irradiation of Uranium and radiochemical separation.The β-spectra and γ-spectra were measured.The endpoint energy for ²³⁵Th β-decay was obtained to be 1.44±0.04MeV.Thus Q_B of ²³⁵Th was determined to be 1.47±0.07MeV.     

THE EFFECT OF MULTIPLE SCATTERING ON ACOUSTIC ENERGY TRANSFER IN HIGHLY CONCENTRATED AQUEOUS SUSPENSIONS

An acoustic energy transfer equation has been set up to solve the multiple scattering problem inacoustic wave transfer in highly concentrated aqueous suspensions.This method is easier to handle than theusual one,and can be used for any values of the ratio of particle size to wave length.It has been found thatwhen the multiple scattering is considered the scattering coefficient is decreased by 5% to 14% in the case ofka=3 to 5 and the product of the coefficient and the path length less than 0.256.As the concentrationincreases the scattering coefficient becomes even less.The influence of the particle size distribution,absorption and inhomogeneity in suspensions on the scattering coefficient is discussed.     

THE ENERGY SPECTRUM AND WAVEFUNCTION OF NUCLEUS 31Si——A TEST ON THE COMPOSITE PARTICLE REPRESENTATION THEORY

The nuclecus ³¹Si₁₇ is studied by the composite particle representation theory and compared with the shell model calculations. It is shown that the entire energy spectrum agrees with the shell model results very well, and the wave function is equivalent to the shell model wavefunction exactly. Therefore it strongly supports the composite particle representation theory.     

ASYMPTOTIC FREEDOM AND THE WAVE FUNCTIONS AT THE ORIGIN AND THE ENERGY LEVELS OF THE J/ψ AND THEY

On the basis of phenomenological quantum chromodynamics (QCD), a nonre-lativistic linear and Coulomb-like potential describtion of the strong interaction be-tween quarks is assumed and it is considered that the effective quark-gluon coup-ling constant approaches the asymptotically free limit of QCD. The cloice of thepotential parameters is so made as to fit the experimental values of the wave func-tions at the origin as well as the masses of the J/ψ and the γ Following the calcu-lation referring to the ψ′and the γ′, we acquire a consistent explanation for boththe relative values of the wave functions at the origin and the experimental mass asdifferences of these particles.     

USING STATISTICAL ENERGY ANALYSIS IN STUDY OF SOUND INSULATION OF PARTITIONS

The models of Statistical Energy Analysis(SEA)of sound insulation of partitions,single wall,double wall and double panels connected by studs,are made.The evaluation of the parametersof SEA is discussed.Gypsum board walls are used as objects of study.Radiation resistance,lossfactor and sound transmission loss are measured.The sound insulations of seventeen types ofgypsum board walls are calculated by computer.Agreement between calculated results and experi-ments is found to be good.Finally,the influence of some factors,such as parameters of room,damping loss of wall,absorption material in cavity and form of stud,upon the sound insulationof walls is discussed.     

ON THE INVESTIGATION OF THE SOUND ABSORPTION OF LINEAR TRANSITION WEDGES

In this article the reflection coefficient of linear transition wedges is discussed,and an analyticalexpression and a simple real expression of the reflection coefficient under W.K.B.approximationare derived.The approximate expression of the reflection coefficient proves to be simple and con-venient for the design of absorbers. The sound absorbent structure of rib is also computed and analyzed,with emphasis on the rela-tionship between the size of the structure and the parameters of the material. In design of two types of wedges mentioned above,for the required frequency range,the materialperameters can be chosen properly and the dependence of the Wedge length on the lower limit fre-quency can be determined easily based on the derived expression.The theoretical computationsagree well with the experimental results.     

THE BOUND STATE ENERGY LEVELS OF MONOPOLE PAIR AND OF CHARGED MONOPOLE-ELECTRON SYSTEM—SOME SINGULAR STATE PROBLEMS IN RELATIVISTIC QUANTUM MECHANICS

In this paper four kinds of singular state problems in relativistic quantum me-chanics and its solutions are summarized. In the references [2,3,5,6,11], it hasbeen pointed out that in some quantum mechanial problems involving singular statesthere exists phase angle uncertainty. The principle eliminating this kind of nncer-tainty——the orthogonality-variation principle has been obtained in [11] The re-sults of scattering and bound state problems of a neutral monopole and a chargedDirac particle are consistent with those obtained by C. N. Yang, Kazama, and Gold-haber. In [5], [11] and this paper the Case-type equations determining the boundstates of monopole pair and exotic atoms consisting of a charged monopole and anelectron are obtained. In this paper these energy levels are calculated numericallyBecause in these equations the number of singular points is infinite and the rune-tions oscillate rapidly, usual calculation methods are not suitable in these cases. Afteranalysing these equations and determining the positions of singular points and theranges of energy levels, these energy levels are calculated by computer. It is pointed out that the number of these energy levels is infinite and the posi-tions of positive and negative energy levels are asymmetric. The negative energylevels do not appear untilεis very near -1. The values of the positive energy levelsare spread in the range 0.9998ε<1 They are near those of the hydrogen-like atomand similar to those of impurity in solid. This is a perturbation problem of singularstates to which the usual perturbation theory can not be applied. The energy levels of monopole pair are not similar to those of the hydrogen-likeatom. In the range 0<|ε|≤0.99 there are many energy levels with positive andnegative energy. It is also pointed out that for the hydrogen-like atoms, 119<z<137, somenegative energy bound state solutions satisfying square integrability condition arepossible. The ordinary standard condition does not exclude these states, but the or-thogonality criterion does exclude them. The conclusion is in agreement with thatreached by Professor C. N. Yang. The results shown suggest that the orthogonality-variation principle is reasona-ble.     

A SENSITIVE METHOD TO DISTINGUISH THE SPIN OF THE HEAVY LEPTON τ FROM ITS TWO BODY DECAY ENERGY SPECTRA

We point out that in e⁺+e^-→τ⁺+τ^- for spin 3/2 τ^±the different helicity statesof τ^±will possess different weights.When the beam energy is much larger than themass of τ,we argue that,in some renormalizable models,τ may even have only ±1/2 helieity states.Therefore,the two body d cay energy spectra will show a significantdifference from that of τ with spin 1/2.This provides us with a very sensitivemethod to distinguish the spin of τ.     

DEPENDENCE OF THE MECHANISM AND CROSS SECTION OF THE α PARTICLES EMITTED FROM 12C+64Ni REACTION ON INCIDENT ENERGY

Energy spectra and angular distributions of the particles emitted from ¹²C+⁶⁴Ni reaction at eight energies in the region of 36.5MeV—69.4MeV are measured. The angular distributions of α particles change from forward peaked one to that peaked near by the grazing angle with decreasing incident energy. This result show that the emission mechanism of non-evaporation α particle is different in different energy regions.     

THE ACOUSTIC FUNCTIONS OF THE MELON OF THE CHINESE RIVER DOLPHIN(Lipotes vexillifer)

In this paper,the acoustic functions of the melon of the Chinese river dolphin(Lipotes vexillifer)are studied.Based on the comparison between the directivity patterns of the whole head and the skull,it is suggested that the melon plays an important role in beamforming.At the frequencuy of 40 kHz,the—3 dB beamwidth of the emitted vertical beam of the whole head is approximately 21.6°,withthe major axis elevated 10°above the ristrum plane;the—3 dB beamwidth of the horizontal beam ofthe whole head is approximately 20°,with the major axis deviated 12°rightward from the body axis.The vertical and horizontal—3dB beamwidths of the whole head are 9.4°and 13°,narrower than thoseof the skull respectively,and the directions of the major axes are different for both cases.It canbe seen that the melon narrows the width of the main beam and greatly reduces the side lobes of thebeam formed by the skull.The distribution of the sound velocity in the melon tissue is measured andthe distribution pattern is drawn.Fr     

APPLICATION OF CORRELATION—POLARIZA TION POTENTIAL TO THE LOW—ENERGY ELECTRON SCATTERING WITH ATOMS AND MOLECULES

Applicability of the correlation potential,which is currently used in the local density functional theory,to the low-energy electron-atom and molecule scattering is investigated with some examples of scattering processes.     

STUDY OF ULTRASONIC PROPERTIES OF THE AQUEOUS SOLUTION OF GELATIN

The experimental investigation of aqueous solution of the gelatin has been made by usingultrasound at frequency 11.4 MHz.The relation between concentration and ultrasound absorptiondoes not reach its saturated value even at the weight concentration of the solution c=8.5%. When the concentration is more than l.5%,the solution transforms into jelly under room tem-porature,but the ultrasonic absorption does not change in the whole transformation proces.Whenthe temperature of the solution is decreased to the vicinity of gelling point,the viscosity η of the solutionincreases gradually with time,making the value of sound absorption calculated from η largerthan the experimental one by several orders.But when the temperature of the solution is appropriatelyhigher than the gelling point,the calculated value of sound absorption is smaller than the experimentalone but with the same order. The temperature at which the maximum sound velocity occurs in the concentrated(c=6.4%)solution is not much different from that     

CALCULATION OF THE SPECIFIC ACOUSTIC RESISTANCE OF THE FINE GRIDS AND ITS APPLICATION

In this paper,the rigorous formula for calculating the specific acoustic resistance of a fine gridis derived by means of the fundamental theory of sound.The corresponding approximate formulasto meet the practical purpose are obtained.Theoretical calculations are compared with experimentalresults.Some suggestions to be valuable to the practical design are discussed.     

CONSTRUCTION OF THE SOLITON STATES OF THE QUANTUM NONLINEAR SCHR?DINGER EQUATION

The quantum nonlinear schr?dinger equation (QNSE) is exactly solved by Beth's ansatz method and we give a reasonable definition of the quantum soliton states. From the definition we construct the soliton states of the QNSE from its bound-state solutions. The dispersion effect of the quantum soliton is also exactly analysed.