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J/Ѱ Interaction With Light Mesons in Qcd-Improved Cornell Model for Tetraquarks

Thesis Info

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Author

Gilani, S. M. Sohail

Program

PhD

Institute

University of the Punjab

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Physics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/11524/1/S.M.Sohail%20Gilani%20High%20Energy%202018%20uop%20lhr.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726563804

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We have calculated the cross-sections for the processes ρJ/ψ → D0 ¯ D0, ρJ/ψ → D0 ¯ D0∗ or D0∗ ¯ D0, ρJ/ψ → D0∗ ¯ D0∗, D0 ¯ D0 → ρJ/ψ, D0∗ ¯ D0 or D0 ¯ D0∗ → ρJ/ψ and D0∗ ¯ D0∗ → ρJ/ψ using a QCD-motivated improvement to the usual sum of pairwise interaction model. This improvement is modelled in the literature by a gluonic field overlap factor f multiply ing off-diagonal elements of normalization, kinetic energy and potential energy matrices in the basis composed of different q¯ q clusterings of a two quarks two antiquarks system. We study the effect of this f factor in these meson-meson scatterings. Gaussian form of f i.e. (exp(−bskf∑i<j r2 ij)) is taken for computational convenience. The chosen value of the parameter kf is originated from numerical lattice QCD simulation. For a comparison, we also calculated the cross sections for f = 1 meaning the sum of pair-wise model limit. The Res onating group method has been used to make a maximum use of the wave function of a single cluster of a quark anti-quark pair. Kinetic energy and overlap matrices have been treated on the model of the potential matrix in the gluonic basis. Here quadratic wave functions are taken by fitting the parameters in such a way that we get maximum overlap of meson quadratic and Cornell wave functions. In order to decouple the coupled integral equations resulting from the resonatinggroup method, Bornapproximationis used. In this thesisthe quadratic aswell as the Cornell potential are used for pairwise interaction in the Hamiltonian of the four quark system. With the Cornell potential we incorporated the spin and flavour dependence in the total wave function of the four quark system. In this thesis a comparison of the cross sections obtained by using the quadratic potential and the Cornell potential is made. In this study we have found v that the Cornell potential gives lesser cross-sections as compared to the quadratic potential. We present the graphs which represent the justification of the difference of the cross sections ob tainedbytwodifferentpotentials. Inthisjustificationtheintegralkernelissplittedintotwoparts (i- potential part and ii- kinetic energy plus constant part). The results of these terms are plotted where it is observed that these terms try to cancel out each others effect to give the lesser hij factor which decreases the T matrix elements and hence the cross sections. This cancelation effect is large when Cornell potential is used. We then introduced the Gaussian form of f in the off diagonal parts of the kinetic energy, potential energy and the overlap matrices in the colour basis. There is a significant suppression in the cross sections obtained when f is introduced as compared to the cross sections obtained from simple sum of two body approach.
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مولانا محمد رفیع

مولانا محمد رفیع
افسوس ہے پچھلے دنوں ہمارے نہایت فاضل دوست لیفٹنٹ کرنل خواجہ عبدالرشید کالاہور میں، اورمولانا محمد رفیع صاحب کا انتقال دیوبند میں ہوگیا۔ اوّل الذکر پرتوایک مضمون برہان کی آئندہ اشاعت میں شائع ہوگا۔مولانا محمد رفیع صاحب حضرت شیخ الہندؒ کے نواسے تھے۔ دارالعلوم دیوبند کے فاضل اور پختہ استعداد کے عالم تھے، ان کے والد ماجد مولانا محمد شفیع صاحب جو علم و عمل، تقوی وطہارت اورفقر ودرویشی میں سلف صالحین کے نمونہ تھے۔عرصۂ دراز تک مدرسہ عبدالرب دہلی کے صدر مدرس رہے، مولانا محمد رفیع بھی عمر بھر اس مدرسہ میں استاد رہے۔والد ماجد کی وفات کے بعد مدرسہ کے ناظم بھی ہوگئے تھے۔ عملاً نہایت صالح،عابد وپرہیزگار،خوش پوشاک اورخوش اخلاق تھے، عمر۸۷برس کی ہوئی۔اللھم اغفرلہ وارحمہ۔ [اپریل۱۹۸۳ء]

 

توریہ کی حقیقت، ضرورت اور اس کا حکم: ایک تحقیقی جائزہ

Islam is a religion of peace, love and prosperity. It emphasis on moral values and strongly forbids from immoral acts. Commitment to the former is ultimate way to the paradise, while the latter leads to Hell, which is an abode, where deviants from the righteousness are punished for their misdeeds. The Holy Prophet Muhammad (ﷺ) showed the importance of morality through the deeds and actions. “Ta┴riyā” is an act which is a part of morality. It is an act which escapes a human being from telling a lies strongly forbidden in Islam, being a root cause of manly social avoid. Usually“Ta┴riyā” is adopted so as to avoid differences and turmoil on a group of individuals. By“Ta┴riyā” means speaking a statement which is equivoques i.e. At the same it gives too meaning apparent and the hidden. Now the question arises whether “Ta┴riyā” is considered as lie or truth. It cannot be termed either lie or truth. However, in many traditions, it has been negated as a lie. At some occasions, when a person feels to tell a lie, for the sake of bringing peace, then it is advised than he should bring on use the act of “Ta┴riyā” but. The reality manipulated be in such a way so it could be termed as lie.

Robust Medical Image Segmentation for Accurate Computer Aided Diagnosis

Image processing is being successfully applied in many areas medical research such as computer aided diagnosis, tumor imaging and treatment, angiography, and carotid artery plaque detection. For medical image analysis, segmentation is an intermediate step to segregate region of interest from the background. The ultimate goal of segmentation is to identify the part of the data array that makes up an object in the real world. Many imaging modalities are in practice for disease diagnosis. Among those, owing to noninvasive nature, ultrasound imaging provides an invaluable tool for disease diagnosis. Major limitations faced by ultrasound imaging modality include low quality, inherent noise, and wave interferences. Consequently, a substantial effort from radiologists is required to extract constructive information about a particular disease. In this regard, an efficient and accurate computer aided diagnostic system for ultrasound images is highly desirable for disease (plaque) diagnosis. Carotid arteries are vital arteries that supply oxygen rich blood to the brain. Carotid artery stenosis is the process of narrowing the carotid artery due to the presence of atherosclerosis. The plaque may partially or fully block the blood flow to the brain and the probability of cerebrovascular stroke becomes high. Ultrasound imaging is used for detection of plaque in carotid artery. Due to lower quality and other degradations, segmentation of carotid arteries ultrasound images becomes a challenging task. In this thesis, several segmentation techniques are proposed, which successfully segment the carotid artery ultrasound images. Firstly, we have proposed spatial fuzzy c-means modified (sFCMM) clustering technique and also investigated effectiveness of ensemble clustering. The proposed sFCMM technique assigns weight to each pixel in a sub-window according to the pixel’s contribution. The proposed scheme required image pre-processing for noise reduction and hence segmentation has been performed on filtered image. In another approach, we propose information gain based fuzzy c-means clustering (IGFCM) algorithm that avoids the preprocessing step and still yields better results compared to sFCMM technique. The IGFCM approach exploits the concept of information gain to automatically update the xvii fuzzy membership function and cluster centeriods. However, from IGFCM segmented images, it has been observed that some of the pixels of arterial walls are mislabeled by IGFCM. In order to overcome this problem, a semi-supervised clustering approach named robust segmentation and classification of ultrasound images (RSC-US) has been proposed to segment carotid artery ultrasound images. The RSC-US approach is composed of three phases. In the first phase, the fuzzy inference system (FIS) is generated. In second phase, carotid artery ultrasound images are segmented based on the generated FIS. Finally, a decision making system has been designed to segregate the segmented images into normal or abnormal subjects. The RSC-US approach did not utilize the spatial information of pixel’s which plays a vital role in segmentation. Consequently, the spatial information has also been explored and a new approach named robust fuzzy radial basis function networks (RFRBFN) has been proposed to segment carotid artery ultrasound images. The RFRBFN segments the carotid artery ultrasound images with high precision. Due to the Lagrange function and a smoothing parameter, the RFRBFN might be computationally expensive. Finally, an automatic active contour based segmentation technique for carotid artery ultrasound images is proposed. This technique can successfully segment natural scene as well as medical images.