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In this paper the G/sub E/ and G/sub M/ form factors of the proton and neutron are calculated in the geometrodynamical model of hadrons. The asymptotic behaviour and the gross features are correctly reproduced, but in fine details...
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In this paper the G/sub E/ and G/sub M/ form factors of the proton and neutron are calculated in the geometrodynamical model of hadrons. The asymptotic behaviour and the gross features are correctly reproduced, but in fine details there are deviations from the experimental data. (Atomindex citation 13:657997)
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The simplest physical system to have a non-trivial intrinsic structure in Minkowski space-time is a three-twistor particle. The authors investigate this structure and the two pictures of the particle as an extended object in space...
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The simplest physical system to have a non-trivial intrinsic structure in Minkowski space-time is a three-twistor particle. The authors investigate this structure and the two pictures of the particle as an extended object in space-time and as a point in unitary space. The effect of twistor translations on the mass triangle defined by the partial centre of mass points in space-time as well as the connections between twistor rotations and the spin are considered and the spin deficiency formula is established. (Atomindex citation 13:662325)
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After some disconnected comments on the MIT bag and string models for extended hadrons, I review current understanding of extended objects in classical conventional relativistic field theories and their quantum mechanical interpre...
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After some disconnected comments on the MIT bag and string models for extended hadrons, I review current understanding of extended objects in classical conventional relativistic field theories and their quantum mechanical interpretation. (ERA citation 02:023487)
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In the first part (Sections 1 and 2) of this paper - starting from the Pauli current, in the ordinary tensorial language - we obtain the decomposition of the non-relativistic field velocity into two orthogonal parts: the classical...
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In the first part (Sections 1 and 2) of this paper - starting from the Pauli current, in the ordinary tensorial language - we obtain the decomposition of the non-relativistic field velocity into two orthogonal parts: the classical part, that is the velocity w p/m of the center-of-mass (CM), and the so-called quantum part, that is, the velocity V of the motion in the CM frame (namely, the integral spin motion or Zitterbewegung). By inserting such a complete, composite expression of the velocity into the kinetic energy term of the non-relativistic classical (Newtonian) Lagrangian, we straightforwardly get the appearance of the so-called quantum potential associated, as it is know, with the Madelueng fluid. This result carries further evidence that the quantum behaviour of micro-systems can be a direct consequence of the fundamental existence of spin. In the second part (Sections 3 and 4), we fix our attention on the total velocity vector v vector w + vector V, being now necessary to pass to relativistic (classical) physics; and we show that the proper time entering the definition of the four-velocity v(sup (mu)) for spinning particles has to be the proper time (tau) of the CM frame. Inserting the correct Lorentz factor into the definition of v(sup (mu)) leads to completely new kinematical properties for v(sup 2). The important constraint p(mu) v(sup (mu)) identically true for scalar particles, but just assumed a priori in all previous spinning particle theories, is herein derived in a self-consistent way. (author). 24 refs. (Atomindex citation 27:054525)
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The Lorentz transformation property of the spherical extended object in 3 + 1 dimensions and the non-spherical extended object in 2 + 1 dimensions is investigated. In the latter case there appear new sets of quantum operators whic...
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The Lorentz transformation property of the spherical extended object in 3 + 1 dimensions and the non-spherical extended object in 2 + 1 dimensions is investigated. In the latter case there appear new sets of quantum operators which cause the rotational fluctuation. Also, for the translational fluctuation, the classical quantum position operators have to be replaced by relativistic operators. (Atomindex citation 14:753100)
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We argue, using the Gross-Neveu model as an example, for the following picture: a baryon of baryon number B occasionally looks like a configuration of 3(B-W) quarks bound to a soliton (of the pionic condensate) with an integer win...
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We argue, using the Gross-Neveu model as an example, for the following picture: a baryon of baryon number B occasionally looks like a configuration of 3(B-W) quarks bound to a soliton (of the pionic condensate) with an integer winding number W. The Skyrmion picture in the original form is relevant if the lowest lying level of baryon number B is dominantly a soliton instead of a configuration of 3B quarks. Our techniques do not depend upon semi-classical or adiabatic approximations. (Atomindex citation 16:059618)
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A quantum theory of intrinsically extended particles similar to de Broglie's theory of the Double Solution is proposed. A rational notion of the particle's extension is enthroned by realizing its internal structure via soliton-typ...
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A quantum theory of intrinsically extended particles similar to de Broglie's theory of the Double Solution is proposed. A rational notion of the particle's extension is enthroned by realizing its internal structure via soliton-type solutions of nonlinear, relativistic wave equations. These droplet-type waves have a quasi-objective character except for certain boundary conditions which may be subject to stochastic fluctuations. More precisely, this assumption amounts to a probabilistic description of the center of a soliton such that it would follow the conventional quantum-mechanical formalism in the limit of zero particle radius. At short interaction distances, however, a promising nonlinear and nonlocal theory emerges. This model is not only capable of achieving a conceptually satisfying synthesis of the particle-wave dualism, but may also lead to a rational resolution of epistemological problems in the quantum-theoretical measurement process. Within experimental errors the results for, e.g., the hydrogen atom can be reproduced by appropriately specifying the nature of the nonlinear self-interaction. It is speculated that field theoretical issues raised by such notions as identical particles, field quantization and renormalization are already incorporated or resolved by this nonlocal theory, at least in principle. (Atomindex citation 15:022782)
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We discuss the influence of divergences in the framework of classical field theory. The example of a point-like scalar particle interacting with a scalar field shows how a divergence changes the equation of motion of the particle....
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We discuss the influence of divergences in the framework of classical field theory. The example of a point-like scalar particle interacting with a scalar field shows how a divergence changes the equation of motion of the particle. Then we discuss extended particle models on a two-fold connected space-time. The ''particles'' have an inner boundary, the section of which with a space-like hypersurface shall be a two-dimensionally closed surface. The boundary is given by the requirement that the canonical energy-momentum tensor tsub(k)sup(l) fulfills the condition Tsub(k)sup(l)nsub(l)=0 (nsub(l)=normal vector to the boundary). Thirdly, we look for such a canonical energy-momentum tensor giving for a field configuration, which can only be supported on a space bounded region, a free boundary. All these considerations shall show that one obtains different answers to certain questions, if one starts from different canonical energy-momentum tensors. Only the field equations can tell one whether the objects considered here are stable or not. (Atomindex citation 14:747319)
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In contrast to most prevalent ideas that the mass of the hadron rises linearly with spin, we have identified a few rotational bands in N and lambda mass spectra. Each of these bands consists of a series of states of alternating pa...
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In contrast to most prevalent ideas that the mass of the hadron rises linearly with spin, we have identified a few rotational bands in N and lambda mass spectra. Each of these bands consists of a series of states of alternating parity, and thus differs from those of nuclear spectroscopy. This may indicate that hadrons appear as non-perturbative solutions such as the extended object. (ERA citation 10:001400)
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We give a simple proof, using the canonical formalism, that there are no extended physical states in the massless Schwinger model. (Atomindex citation 14:721209)
