Ansatzs, Assumptions and Production of J/Ψ-Particles: A Non-charmed Approach versus Charmed Ones

We look at some crucial aspects of J/Ψ-production in a few high energy nuclear collisions in the light of a nonstandard model which is outlined in the text.The underlying physical ideas,assumptions and ansatzs are also enunciated in some detail.The results are in fairly in good agreement with both measured data and the results obtained on the basis of other models of the standard variety.The impact and implications of this comparative study are also discussed.

Production of J/Ψ-Particles at RHIC and LHC Energies: An Alternative “Psi”-Chology

We attempt here to understand successfully some crucial aspects of J/Ψ-production in some high energy nuclear collisions in the light of a non-standard framework outlined in the text. It is found that the results arrived at with this main working approach here is fairly in good agreement with both the measured data and the results obtained on the basis of some other models of the ‘standard’ variety. Impact and implications of this comparative study have also been precisely highlighted in the end.

Characteristics of Strange Hadron Production in Some High Energy Collisions and the Role of Power Laws

Studies on “strange” particle production have always occupied a very important space in the domain of Particle Physics. This was and is so, just because of some conjectures about specially abundant or excess production of “strange” particles, at certain stages and under certain conditions arising out of what goes by the name of “Standard” model in Particle Physics. With the help of Hagedornian power laws we have attempted to understand and interpret here the nature of the pT-spectra for the strange particle production in a few high energy nuclear collisions, some interesting ratio-behaviors and the characteristics of the nuclear modification factors that are measured in laboratory experiments. After obtaining and analysing the final results we do not confront any peculiarities or oddities or extraneous excesses in the properties of the relevant observables with no left-over problems or puzzles. The model(s) used by us work(s) quite well for explaining the measured data.

Wave scattering by undulating bed topography in a two-layer ocean

The problem of wave scattering by undulating bed topography in a two-layer ocean is investigated on the basis of linear theory. In a two-layer fluid with the upper layer having a free surface, there exist two modes of waves propagating at both the free surface of the upper layer and the interface between the two layers. Due to a wave train of a particular mode incident on an obstacle which is bottom-standing on the lower layer, reflected and transmitted waves of both modes are created by the obstacle. For small undulations on the bottom of the lower layer, a perturbation method is employed to obtain first-order reflection and transmission coefficients of both modes for incident wave trains of again both modes in terms of integrals involving the bed-shape function. For sinusoidal undulations, numerical results are presented graphically to illustrate the energy transfer between the waves of different modes by the undulating bed.

线性水波理论中远场无波势的构建(英文)

Various water wave problems involving an infinitely long horizontal cylinder floating on the surface water were investigated in the literature of linearized theory of water waves employing a general multipole expansion for the wave potential. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace's equation (for non-oblique waves in two dimensions) or two-dimensional Helmholz equation (for oblique waves) satisfying the free surface condition and decaying rapidly away from the point of singularity. The method of constructing these wave-free potentials is presented here in a systematic manner for a number of situations such as deep water with a free surface, neglecting or taking into account the effect of surface tension, or with an ice-cover modelled as a thin elastic plate floating on water.

有限水深中垂直下潜弹性薄板的水波散射(英文)

The problem of water wave scattering by a thin vertical elastic plate submerged in uniform finite depth water is investigated here.The boundary condition on the elastic plate is derived from the Bernoulli-Euler equation of motion satisfied by the plate.Using the Green’s function technique,from this boundary condition,the normal velocity of the plate is expressed in terms of the difference between the velocity potentials(unknown)across the plate.The two ends of the plate are either clamped or free.The reflection and transmission coefficients are obtained in terms of the integrals’involving combinations of the unknown velocity potential on the two sides of the plate,which satisfy three simultaneous integral equations and are solved numerically.These coefficients are computed numerically for various values of different parameters and depicted graphically against the wave number in a number of figures.

Water Wave Scattering by a Nearly Circular Cylinder Submerged Beneath an Ice-cover

假定线性理论，水波浪由水平将近圆形的柱体散布的二维的问题在无穷地深的水里沉没了，一个冰封面作为漂浮在水上的一个薄橡皮的盘子当模特儿，这里被调查。将近圆形的柱体的剖面图作为 r=a 被拿(1+C ()) 一是柱体的相应圆形的剖面图的半径，是从它的圆的柱体的剖面图的小离开的一项措施， C() 是形状功能。用一种简化不安技术，这个问题被归结为二个独立边界价值问题直到第一份订单在里面。第一通信浇波浪由圆形的柱体散布与一个冰封面在水里沉没了，当第二个问题由沉没圆形的柱体描述波浪放射并且首先包含顺序修正到思考和传播系数时。修正以包含形状功能的积分被获得。假定形状功能的一般 Fourier 扩大，这些修正近似被评估。通常，事件波浪火车不由圆形的柱体经历思考，是众所周知的与一个冰封面在无穷地深的水里沉没了。思考系数也为代表将近圆形的柱体的形状功能的某特别选择消失直到第一份订单，这这里被显示出。为这些盒子，完整的传播发生，仅仅变化在它在很多个数字对波浪数字图形地被描绘的阶段，适当结论被得出。

Oblique Wave-free Potentials for Water Waves in Constant Finite Depth

在这份报纸，与一致有限深度为水在水波浪的 linearised 理论构造倾斜的没有波浪的潜力的一个方法以一种系统的方式被介绍。水把免费表面或一个冰封面作为一个薄有弹性的盘子建模。为免费表面的盒子，表面紧张的效果可以被忽视或考虑。这里，没有波浪的潜力是修改 Helmholtz 方程的单个答案，有在在液体区域的一个点的奇特，他们很快在上面的表面和水区域和腐烂的底部满足条件离开奇特的点。这些在获得解决方案到与象长水平的柱体那样的圆形的剖面图包含身体的倾斜的水波浪问题是有用的沉没或在有作为一块漂浮的橡皮建模的免费表面或一个冰封面的一致有限深度的水里沉浸一半板。最后，与这里构造的没有波浪的潜力有关的上面的表面的形式在很多个数字图形地被描绘设想波浪运动。非倾斜的没有波浪的潜力和上面的表面的结果没有波浪的潜力被获得。这里构造的没有波浪的潜力将在水里在包含无穷地长水平的柱体的水波浪问题的数学学习是有用的、也沉浸一半或完全沉浸。

Cauchy-Poisson Problem for a Two-layer Fluid with an Inertial Surface

这份报纸在二层的液体的上面的表面由于起始的骚乱涉及波浪的产生，当上面的层被惯性的表面盖住，更低的层无穷地向下延长。惯性的表面由非交往的材料的薄却一致的分发组成。在数学分析， Fourier 和 Laplace 变换技术被利用了获得在无限的积分形式的惯性的表面和接口的消沉。为在一个点集中的起始的骚乱，惯性的表面消沉和接口消沉被使用静止阶段的方法在大时间和距离 asymptotically 评估。他们也为起始的骚乱的二种类型图形地被描绘，适当结论被做。

Hydrodynamic dispersion of reactive solute in a Hagen–Poiseuille flow of a layered liquid

An analysis of the solute dispersion in the liquid flowing through a pipe by means of Aris–Barton's ‘method of moments', under the joint effect of some finite yield stress and irreversible absorption into the wall is presented in this paper. The liquid is considered as a three-layer liquid where the center region is Casson liquid surrounded by Newtonian liquid layer. A significant change from previous modelling exercises in the study of hydrodynamic dispersion, different molecular diffusivity has been considered for the different region yet to be constant. For all time period, finite difference implicit scheme has been adopted to solve the integral moment equation arising from the unsteady convective diffusion equation. The purpose of the study is to find the dependency of solute transport coefficients on absorption parameter, yield stress, viscosity ratio, peripheral layer variation and in addition with various diffusivity coefficients in different liquid layers. This kind of study may be useful for understanding the dispersion process in the blood flow analysis.

Asymptotic iteration approach to supersymmetric bistable potentials

We examine quasi exactly solvable bistable potentials and their supersymmetric partners within the framework of the asymptotic iteration method （AIM）. It is shown that the AIM produces excellent approximate spectra and that sometimes it is found to be more useful to use the partner potential for computation. We also discuss the direct application of the AIM to the Fokker-Planck equation.

Temperature Dependent Zeno Time for a Two Level Atom Traversing through a Thermal Magnetic Barrier in the Framework of Weak Measurement

The Zeno time has been calculated for a metastable two-level atom tunneling through a interacting thermal magnetic field. The process of weak measurement has been utilized for the estimation of the timescale. Zeno time has been shown to be temperature dependent. From the calculation it is evident that the Zeno time decreases with the increase of temperature. Moreover, the result restricts the Zeno time to a maximum limiting value, irrespective of how frequent the measurement process is.

On the Nature of the Average Transverse Momenta of the Low-<i>pT</i>Secondaries in Some High Energy Nuclear Collisions

That the values of average transverse momenta ( ) of the secondaries produced in high energy collisions rise very slowly with energy is modestly well-known and accepted. We would like to probe into this aspect of the problem for production of the main variety of the 'soft' secondaries in two high energy symmetric nuclear collisions with the help of two non-QCD models. Our model-based results are found to be quite consistent with the anticipated behaviours and also with the observations.