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Author: Publisher: ISBN: Category : Languages : en Pages :
Book Description
The possibility is considered that the shape of the ground state configuration of a system of quarks interacting with a real scalar field is nonspherical. This is explored through application of the variational principle to a simple model field theory of quarks coupled linearly to a real scalar field. Trial functions are, by construction, eigenstates of linear and angular momentum and correspond to quarks confined by an ellipsoidal well of major axis, a, and minor axis, b, with zero depth and height g phi0, where g is the quark-scalar particle coupling constant. The parameters a, b, and phi0 are determined such that their values minimize the total energy of the system. These variations are carried out in the limit when the renormalized scalar particle mass, .mu., is taken to infinity and the energy takes on a semi-classical form. Furthermore, in the renormalized limit (i.e., when the renormalization cutoff goes to infinity) it is found that the energy depends on two finite arbitrary constants and that there exists a minimum of the energy for which the eccentricity of the confining well is nonzero. In fact, the spherical configuration is unstable and of higher energy. The model is applied to hadron spectroscopy for the low lying (mass
Author: Publisher: ISBN: Category : Languages : en Pages :
Book Description
The possibility is considered that the shape of the ground state configuration of a system of quarks interacting with a real scalar field is nonspherical. This is explored through application of the variational principle to a simple model field theory of quarks coupled linearly to a real scalar field. Trial functions are, by construction, eigenstates of linear and angular momentum and correspond to quarks confined by an ellipsoidal well of major axis, a, and minor axis, b, with zero depth and height g phi0, where g is the quark-scalar particle coupling constant. The parameters a, b, and phi0 are determined such that their values minimize the total energy of the system. These variations are carried out in the limit when the renormalized scalar particle mass, .mu., is taken to infinity and the energy takes on a semi-classical form. Furthermore, in the renormalized limit (i.e., when the renormalization cutoff goes to infinity) it is found that the energy depends on two finite arbitrary constants and that there exists a minimum of the energy for which the eccentricity of the confining well is nonzero. In fact, the spherical configuration is unstable and of higher energy. The model is applied to hadron spectroscopy for the low lying (mass
Author: Costas N. Papanicolas Publisher: American Inst. of Physics ISBN: 9780735404113 Category : Science Languages : en Pages : 320
Book Description
The workshop addressed the issue of the shape of hadrons by reviewing all relevant information both theoretical and experimental. The focus was on photo- and electro-excitation experiments on the nucleon, and on lattice and effective field theory, nucleon models, and phenomenological calculations.
Author: Florentin Smarandache Publisher: Infinite Study ISBN: 1599730421 Category : Science Languages : en Pages : 476
Book Description
The present book covers a wide-range of issues from alternative hadron models to their likely implications to New Energy research, including alternative interpretation of low-energy reaction (coldfusion) phenomena.The authors explored some new approaches to describe novel phenomena in particle physics. M Pitkanen introduces his nuclear string hypothesis derived from his Topological Geometrodynamics theory, while E. Goldfain discusses a number of nonlinear dynamics methods, including bifurcation, pattern formation (complex Ginzburg-Landau equation) to describe elementary particle masses. Fu Yuhua discusses a plausible method for prediction of phenomena related to New Energy development.F. Smarandache discusses his unmatter hypothesis, and A. Yefremov et al. discuss Yang-Mills field from Quaternion Space Geometry. Diego Rapoport discusses link between Torsion fields and Hadronic Mechanic.A.H. Phillips discusses semiconductor nanodevices, while V. and A. Boju discuss Digital Discrete and Combinatorial methods and their likely implications to New Energy research. Pavel Pintr et al. describe planetary orbit distance from modified Schrodinger equation, and M. Pereira discusses his new Hypergeometrical description of Standard Model of elementary particles.The present volume will be suitable for researchers interested in New Energy issues, in particular their link with alternative hadron models and interpretation.While some of these discussions may be found a bit too theoretical, our view is that once these phenomena can be put into rigorous theoretical framework, thereafter more 'open-minded' physicists may be more ready to consider these New Energy methods more seriously. Our basic proposition in the present book is that considering these new theoretical insights, one can expect there are new methods to generate New Energy technologies which are clearly within reach of human knowledge in the coming years.
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Author: Costas N. Papanicolas
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Author: Florentin Smarandache
Author: Peter Ring
Author: Joel Louis Lebowitz