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On the Quantization of Length in Noncommutative Spaces 关于非交换空间中长度的量子化
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-06-16 DOI: 10.1155/2022/8009789
Muthukumar Balasundaram, A. Rashid
We consider canonical/Weyl-Moyal type noncommutative (NC) spaces with rectilinear coordinates. Motivated by the analogy of the formalism of the quantum mechanical harmonic oscillator problem in quantum phase-space with that of the canonical-type NC 2-D space, and noting that the square of length in the latter case is analogous to the Hamiltonian in the former case, we arrive at the conclusion that the length and area are quantized in such an NC space, if the area is expressed entirely in terms of length. We extend our analysis to the 3-D case and formulate a ladder operator approach to the quantization of length in 3-D space. However, our method does not lend itself to the quantization of spacetime length in 1 + 1 and 2 + 1 Minkowski spacetimes if the noncommutativity between time and space is considered. If time is taken to commute with spatial coordinates and the noncommutativity is maintained only among the spatial coordinates in 2 + 1 and 3 + 1 dimensional spacetime, then the quantization of spatial length is possible in our approach.
我们考虑具有直线坐标的正则/Weyl-Moyal型非交换(NC)空间。受量子相空间中量子力学谐振子问题的形式与正则型NC二维空间的形式的相似性的启发,并注意到后一种情况下的长度平方与前一种情况中的哈密顿量相似,我们得出这样的结论:长度和面积在这样的NC空间中是量子化的,如果面积完全用长度来表示。我们将我们的分析扩展到三维情况,并制定了一种梯形算子方法来量化三维空间中的长度。然而,如果考虑时间和空间之间的非交换性,我们的方法不适用于1+1和2+1 Minkowski时空中时空长度的量化。如果用时间与空间坐标进行通勤,并且仅在2+1和3+1维时空中的空间坐标之间保持非对易性,那么在我们的方法中,空间长度的量化是可能的。
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引用次数: 0
Masses of Single, Double, and Triple Heavy Baryons in the Hyper-Central Quark Model by Using GF-AEIM 用GF-AEIM研究超中心夸克模型中单重重子、重重子和重重子的质量
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-06-15 DOI: 10.1155/2022/4539308
M. Abu-shady, H. M. Fath-Allah
By using the generalized fractional analytical iteration method (GF-AEIM), the single, the double, and the triple heavy baryons masses are calculated in the hyper-central model in the two cases. In the first case, the potential is a combination of Coulombic potential, the linear confining potential, and the harmonic oscillator potential. In the second case, we add the hyperfine interaction. The energy eigenvalues and the baryonic wave function are obtained in the fractional forms. The present results are a good agreement with experimental data and are improved with other recent works.
利用广义分数解析迭代法(GF-AEIM),在超中心模型中计算了这两种情况下的单重子、双重子和三重子质量。在第一种情况下,电势是库仑电势、线性限制电势和谐振子电势的组合。在第二种情况下,我们添加了超精细相互作用。能量本征值和重子波函数以分数形式得到。目前的结果与实验数据吻合良好,并与最近的其他工作进行了改进。
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引用次数: 6
Model Comparison of the Transverse Momentum Spectra of Charged Hadrons Produced in Collision at  TeV TeV碰撞中带电强子横向动量谱的模型比较
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-06-14 DOI: 10.1155/2022/5482034
Rohit Gupta, Satyajit Jena
Transverse momentum, , spectra are of prime importance in order to extract crucial information about the evolution dynamics of the system of particles produced in the collider experiments. In this work, the transverse momentum spectra of charged hadrons produced in collision at  TeV have been analyzed using different distribution functions in order to gain strong insight into the information that can be extracted from the spectra. We have also discussed the applicability of the unified statistical framework on the spectra of charged hadron at  TeV
横向动量谱对于提取对撞机实验中产生的粒子系统演化动力学的关键信息至关重要。本文采用不同的分布函数对TeV碰撞产生的带电强子的横向动量谱进行了分析,以期对从谱中提取的信息有更深入的了解。我们还讨论了统一统计框架在TeV带电强子谱上的适用性
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引用次数: 0
Relaxing the W 放松W′
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-06-01 DOI: 10.1155/2022/8784084
Mathew Thomas Arun
In this paper, we study the constraint on brane tension and compactification scale for models with brane fluctuations using the results from the direct search of W at 13 TeV LHC, with an integrated luminosity of 36.1fb1 , in the case for which branon forms the entire cold dark matter. The inclusion of these brane fluctuations suppresses the KK-mode couplings to brane localised matter fields. Unlike the rigid brane scenario, where the compactification scale gets constrained to 1/R>5.2  TeV, here we show that compactification scales as small as ~1  TeV are allowed for brane tensions of similar strength.
在本文中,利用W′的直接搜索结果,研究了膜波动模型的膜张力和紧致尺度的约束在13 TeV LHC,积分光度为36.1fb-1,在这种情况下,branon形成了整个冷暗物质。这些膜波动的包含抑制了KK模式与膜局域物质场的耦合。与刚性膜场景不同,在刚性膜场景中,紧凑化尺度被限制为1/R>5.2 TeV,这里我们证明了紧致化标度小到~1 对于类似强度的膜张力,允许使用TeV。
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引用次数: 0
Erratum to “Superstring Backgrounds in String Geometry” “弦几何中的超弦背景”勘误表
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-05-30 DOI: 10.1155/2022/9768247
Masaki Honda, Matsuo Sato, Taiki Tohshima
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引用次数: 0
Density Perturbation and Cosmological Evolution in the Presence of Magnetic Field in fR fR中存在磁场时的密度微扰和宇宙学演化
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-05-23 DOI: 10.1155/2022/5195251
S. Chakraborty, S. Guha
In this paper, we have investigated the density perturbations and cosmological evolution in the FLRW universe in the presence of a cosmic magnetic field, which may be assumed to mimic primordial magnetic fields. Such magnetic fields have sufficient strength to influence galaxy formation and cluster dynamics, thereby leaving an imprint on the CMB anisotropies. We have considered the FLRW universe as a representative of the isotropic cosmological model in the 1 + 3 covariant formalism for f R gravity. The propagation equations have been determined and analyzed, where we have assumed that the magnetic field is aligned uniformly along the x -direction, resulting in a diagonal shear tensor. Subsequently, the density perturbation evolution equations have been studied, and the results have been interpreted. We have also indicated how these results change in the general relativistic case and briefly mentioned the expected change in higher-order gravity theories.
在本文中,我们研究了FLRW宇宙中存在宇宙磁场的密度扰动和宇宙学演化,宇宙磁场可以被假设为模拟原始磁场。这样的磁场有足够的强度来影响星系的形成和星系团的动力学,从而在CMB的各向异性上留下印记。我们已经考虑了FLRW宇宙作为各向同性宇宙学模型的代表,在1 + 3协变形式的f R重力。我们已经确定并分析了传播方程,其中我们假设磁场沿x方向均匀排列,从而产生对角剪切张量。随后,对密度微扰演化方程进行了研究,并对结果进行了解释。我们还指出了这些结果在广义相对论的情况下是如何变化的,并简要地提到了高阶引力理论的预期变化。
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引用次数: 0
Linear Stability of Magneto Viscoelastic Walter’s B磁黏弹性Walter ' s B '的线性稳定性
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-05-23 DOI: 10.1155/2022/6577512
D. Mostafa
In this paper, the couple influence of axial magnetic field and the heat and mass transfer on two rotating cylinders of Walter’s B ′ viscoelastic fluids by using the potential flow theory of viscoelastic fluid has been investigated. The normal mode method is used to compute the growth rate of disturbance. The influence of gravity is ignored at the interface, while the effect of surface tension is present in the analysis. The effect of the parameters on the stability is studied. It is found that the rotation of the inner cylinder induces stability. Furthermore, the viscoelastic ratio of fluids has a stabilizing influence. The heat and mass transfer, magnetic permeability ratio, and Ohnesorge number have a stabilized influence, while viscosity ratio of fluids, density ratio of fluids, and axial magnetic field have destabilizing influence on the considered system.
本文利用粘弹性流体的势流理论,研究了轴向磁场与Walter’s B′粘弹性流体两个旋转圆柱体的传热传质耦合效应。正态模法用于计算扰动的增长率。在界面处忽略了重力的影响,而在分析中存在表面张力的影响。研究了参数对稳定性的影响。研究发现,内筒的旋转引起了稳定性。此外,流体的粘弹性比具有稳定的影响。传热传质、磁导率比和奥氏数对所考虑的系统有稳定的影响,而流体的粘度比、流体的密度比和轴向磁场对所考虑系统有不稳定的影响。
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引用次数: 1
Effects of Variations of SUSY Breaking Scale on Neutrino Parameters at Low Energy Scale under Radiative Corrections 辐射修正下SUSY破缺尺度变化对低能级中微子参数的影响
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-05-20 DOI: 10.1155/2022/5780441
Kh. Helensana Devi, K. Singh, N. Singh
The paper addresses the effects of the variations of the SUSY breaking scale m s in the range (2-14) TeV on the three neutrino masses and mixings, in running the renormalization group equations (RGEs) for different input values of high energy seesaw scale M R , and in both normal and inverted hierarchical neutrino mass models. The present investigation is a continuation of the earlier works based on the variation of m s scale. Two approaches are adopted one after another—bottom-up approach for running gauge and Yukawa couplings from low to high energy scale, followed by the top-down approach from high to low energy scale for running neutrino parameters defined at high energy scale, along with gauge and Yukawa couplings. A self-complementarity relation among three mixing angles is also employed in the analysis and it is found to be stable under radiative correction. Significant effect due to radiative corrections on neutrino parameters with the variation of SUSY breaking scale m s is observed. For comparison of the results, variation of tan β for different M R is also considered.
本文讨论了在(2-14)TeV范围内的SUSY破缺尺度ms的变化对三种中微子质量和混合的影响,在运行高能跷跷板尺度MR的不同输入值的重整化群方程(RGE)时,以及在正态和反态分层中微子质量模型中。本研究是对早期基于ms尺度变化的研究的延续。相继采用了两种方法——自下而上的方法从低能级到高能级运行规范和汤川耦合,然后是自上而下的方法从高能级到低能级运行高能级定义的中微子参数,以及规范和汤川耦合。分析中还采用了三个混合角之间的自互补关系,发现在辐射校正下它是稳定的。观测到辐射修正对中微子参数随SUSY破缺尺度ms变化的显著影响。为了比较结果,还考虑了不同MR下tanβ的变化。
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引用次数: 4
The Analysis of a Proposed Experiment to Measure the Speed of Gravity in Short Distances 一个短距离重力速度测量实验的分析
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-04-29 DOI: 10.1155/2022/1991119
C. Frajuca, Fabio da Silva Bortoli, N. Magalhaes
In order to investigate the speed of gravitational signals travelling in air or through a different medium two experiments were designed. One of the experiments contains 2 masses rotating at very high speed and in the other experiment a sapphire bar will vibrate, in both cases they will emit a periodic tidal gravitational signal and one sapphire device that behaves as a detector, which are suspended in vacuum and cooled down to 4.2 K will act as a detector. The vibrational amplitude of the sapphire detector device is measured by an microwave signal with ultralow phase-noise that uses resonance in the whispering gallery modes inside the detector device. Sapphire has a quite high mechanical Q and electrical Q which implies a very narrow detection band thus reducing the detection sensitivity. A new detector shape for the detector device is presented in this work, yielding a detection band of about half of the device vibrational frequency. With the aid of a Finite Element Program the normal mode frequencies of the detector can be calculated with high precision. The results show a similar expected sensitivity between the two experimental setup, but the experiment with the vibration masses is more stable in frequency then it is chosen for the experimental setup to measure the speed of gravity in short distances. Then a more precise analysis is made with this experiment reaching a signal-noise ratio of 10 at a frequency of 5000 Hz.
为了研究引力信号在空气中或通过不同介质传播的速度,设计了两个实验。其中一个实验包含两个以非常高的速度旋转的质量,在另一个实验中,一个蓝宝石棒会振动,在这两种情况下,它们都会发出周期性的潮汐引力信号,还有一个蓝宝石设备,它充当探测器,悬浮在真空中,冷却到4.2 K将充当检测器。蓝宝石探测器装置的振动幅度通过具有超低相位噪声的微波信号来测量,该微波信号使用探测器装置内部的回音通道模式中的谐振。蓝宝石具有相当高的机械Q和电Q,这意味着检测频带非常窄,从而降低了检测灵敏度。在这项工作中,提出了一种新的探测器形状,产生了大约为设备振动频率一半的探测带。借助于有限元程序,可以高精度地计算探测器的正模频率。结果显示,两个实验装置之间的预期灵敏度相似,但使用振动质量的实验在频率上更稳定,因此选择实验装置在短距离内测量重力速度。然后进行了更精确的分析,该实验在5000的频率下达到了10的信噪比 赫兹。
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引用次数: 0
The Asymmetry of the Cosmic Microwave Background Radiation as Signature of Local Lorentz Invariance Violation 宇宙微波背景辐射的不对称性作为局部洛伦兹不变性破坏的特征
IF 1.7 4区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2022-04-22 DOI: 10.1155/2022/6271119
G. Albertini, F. Cardone, S. Bellucci
A difference in electric potential in a static conductor inside a static magnetic field and an anisotropic and asymmetric distribution of neutrons emitted in nuclear reactions induced by ultrasound are assumed as marks of local Lorentz invariance (LLI) violation. The asymmetry of the two experiments is related to the asymmetry of the Cosmic Microwave Background Radiation (CMBR). As common directions of asymmetry are found in these three cases, a fundamental asymmetry of the interactions is suggested which can also shed new light on the question of symmetry breaking in the history of the Universe.
静态磁场中静态导体中的电位差以及超声波引起的核反应中发射的中子的各向异性和不对称分布被认为是局部洛伦兹不变性(LLI)破坏的标志。两个实验的不对称性与宇宙微波背景辐射(CMBR)的不对称性有关。由于在这三种情况下发现了共同的不对称方向,因此提出了相互作用的基本不对称性,这也可以为宇宙历史上对称性的打破问题提供新的线索。
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引用次数: 0
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Advances in High Energy Physics
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