Bulletin of the American Physical Society
2006 APS April Meeting
Saturday–Tuesday, April 22–25, 2006; Dallas, TX
Session W9: Nuclear Theory II |
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Sponsoring Units: DNP Chair: Vladimir Zelevinsky, Michigan State University Room: Hyatt Regency Dallas Cumberland B |
Tuesday, April 25, 2006 10:45AM - 10:57AM |
W9.00001: Spectroscopy of Medium to Heavy $\Lambda$-Hypernuclei Jeff McIntire We develop a method for calculating the doublet splittings of select ground-state $\Lambda$-hypernuclei. This hypernuclear spectroscopy is conducted by supplementing the self-consistent single-particle equations with an effective interaction, which follows directly from the underlying lagrangian, to simulate the residual particle-hole interaction. Our previous investigation, performed using only the leading-oreder contributions to the particle-hole interaction, was inadequate. In the present work, this method is improved upon by increasing the level of truncation in the residual interaction to include gradient couplings to the neutral vector meson. As a result, we obtain a realsitic description of the effect of these gradient couplings on the doublet orderings and splittings. [Preview Abstract] |
Tuesday, April 25, 2006 10:57AM - 11:09AM |
W9.00002: A Simple Five-Dimensional Wave Equation for a Dirac Particle N. Redington, M.A.K. Lodhi A first-order relativistic wave equation is constructed in five dimensions. Its solutions are eight-component spinors, which are interpreted as single-particle fermion wave functions in four-dimensional spacetime. Use of a ``cylinder condition'' (the removal of explicit dependence on the fifth coordinate) reduces each eight-component solution to a pair of degenerate four-component spinors obeying the Dirac equation. This five-dimensional method is used to obtain solutions for a free particle and for a particle moving in the Coulomb potential. It is shown that, under the cylinder condition, the results are the same as those from the Dirac equation. [Preview Abstract] |
Tuesday, April 25, 2006 11:09AM - 11:21AM |
W9.00003: Convergence of the Born Series with Low-Momentum Potentials Sunethra Ramanan, Scott K. Bogner, Richard J. Furnstahl, Achim Schwenk The nonperturbative nature of nucleon-nucleon potentials as a function of a momentum cutoff is studied using Weinberg eigenvalues as a diagnostic. This investigation extends an earlier investigation into the convergence of the Born series for scattering to partial waves beyond the $^3S_1$--$^3D_1$ channel and to positive energies. As the cutoff is lowered using renormalization-group or model-space techniques, the evolution of nonperturbative features at higher cutoffs from strong short-range repulsion and the iterated tensor interaction are monitored via the complex Weinberg eigenvalues. When these eigenvalues all lie within the unit circle, the $T$-matrix expansion in terms of the potential $V$ is perturbative, with the magnitude of the largest eigenvalues setting the rate of convergence. Major decreases in the magnitudes of repulsive eigenvalues are observed as the Argonne $v_{18}$ potential is evolved to low momentum, even though two-body observables are unchanged. The efficacy of separable approximations to the potential derived from the Weinberg analysis is studied as a function of cutoff. [Preview Abstract] |
Tuesday, April 25, 2006 11:21AM - 11:33AM |
W9.00004: Three-body model of the $^{12}\rm C$ nucleus with distortion of $\alpha$-clusters Igor Filikhin, Vladimir Suslov, Branislav Vlahovic The Faddeev equations in configuration space are used to study $^{12}$C nucleus considered as 3$\alpha$-cluster system. The model includes a phenomenological (Ali-Bodmer) pair potential, a three-body potential, and takes into account the Coulomb interaction. The range parameter of the three-body potential is fixed by adjusting the position of the diffraction minimum of the $^{12}$C elastic form factor. It is shown that the model must be supplemented by assumption of a distortion in the charge density of an $\alpha$ cluster inside the $^{12}$C nucleus. The model allows to reproduce well observed characteristics of the low-lying $0^{+}$ levels for $^{12}$C. [Preview Abstract] |
Tuesday, April 25, 2006 11:33AM - 11:45AM |
W9.00005: The Average Uncertainty of a Three Dimensional Nuclear Oscillator Stewart Brekke Consider a three dimensional nuclear oscillator in a solid. The position vector is r = ((A cos a))$^2$ +(B cos b)$^2$ +(C cos c)$^2$)$^{1/2}$, where A,B,C are amplitudes of oscillation. If A=B=C, $\Delta$ p $\geq$ h/2($\pi$)($\Delta$ r), p(av)is the average momentum of the oscillator, a=b=c, then $\Delta$ p(av)= h/2($\pi$)(3$\Delta$A cos$^2$)$^{1/2}$, if $\Delta$ A is the uncertainty in the amplitude. The maximum cos = 1, minimum cos = 0 and RMS cos =0.707(average) so max.uncertainty $\Delta$ p(av)= infinite, min uncertainty $\Delta$ p(av)$\geq$ h/10.83$\Delta$ A and average uncertainty $\Delta$ p (av)=h/3.45 $\Delta$A. This paper suggests the concept of average uncertainty. [Preview Abstract] |
Tuesday, April 25, 2006 11:45AM - 11:57AM |
W9.00006: Photon Acceleration Effect Konstantin Gridnev, Russell Moon, Victor Vasiliev Using the principles of the Vortex Theory, it was theorized that when a photon encounters an electromagnetic field, both the velocity and the frequency of the photon will change. To prove this idea an experiment was devised using a laser interferometer and electromagnets. The electromagnets were arranged so that when the beam splitter divided the initial beam of laser light into two secondary beams; one of the two secondary beams passed back and forth between the magnets. With the DC current to the electromagnets turned off, the two beams formed an interference pattern on the target screen. When the current to the electromagnets was suddenly turned on, the pattern fluctuated wildly until the two beams again reached a quiescent state creating a stable pattern on the screen; when the current to the electromagnets was suddenly turned off, again the pattern fluctuated wildly until it reached a quiescent state forming the initial stable pattern on the screen. It was determined that this new effect was a phenomenon created by the changing frequency of the laser light whose velocity is increasing as it passes between the expanding electromagnetic field of the magnets. Because it is a new phenomenon in science revealing that the speed of light is not a constant but indeed can be varied, it possesses great historical significance. [Preview Abstract] |
Tuesday, April 25, 2006 11:57AM - 12:09PM |
W9.00007: The Neutrino Mass Amagh Nduka We discuss the fundamental (elementary) particles scheme (FPS); and deduce therefrom the mass of the neutrino. [Preview Abstract] |
Tuesday, April 25, 2006 12:09PM - 12:21PM |
W9.00008: Checkerboard Theory of the Nucleus. Theodore Lach The Checker Board Model (CBM) is a 2D model of the nucleus that proposes that the synchronization of the 2 outer rotating quarks in the nucleons accounts for magnetic moment of the nucleons and that the magnetic flux from the nucleons couples (weaves) into the 2D checker board array structures and this magnetic coupling in addition to electrostatic forces of the rotating and stationary quarks accounts for the apparent strong nuclear force. The symmetry of the He nucleus helps explain why this 2D structure is so stable. This model explain the mass of the proton and neutron, along with their magnetic moments and their absolute and relative sizes in terms of the above structure and predict the masses of two newly proposed quarks $^{(1)}$: the ``up'' and the ``dn'' quarks. Since the masses of the ``up'' and ``dn'' quark determined by the CBM (237.31 MeV and 42.392 MeV respectively) did not fit within the standard model as candidates for u and d, a new model (New Physics) had to be invented. This new particle physics model predicts that nature has 5 generations not 3. (1). T.M. Lach, Checkerboard Structure of the Nucleus, Infinite Energy, Vol. 5, issue 30, (2000). (2). T.M. Lach, Masses of the Sub-Nuclear Particles, nucl-th/0008026, @http://xxx.lanl.gov/ [Preview Abstract] |
Tuesday, April 25, 2006 12:21PM - 12:33PM |
W9.00009: The Neutral Pentaquark Russell Moon, Fabian Calvo, Victor Vasiliev Using the principles of the Vortex Theory, it was discovered that when the gamma ray strikes a nucleon, the positively charged pentaquark [and the K$^{-}$ meson] had to be created by the collision with neutron. This discovery further reveals that if the gamma ray strikes a proton it can create a Neutral Pentaquark [and a D$^{+}$ meson]. The neutral pentaquark will consist of an up, up, down, down, and an anti-charm quark, while the D$^{+}$ meson will consist of a charm and an anti-down quark. The neutral pentaquark will later decay into a neutron and D$^{0 }$meson. Because the vortex theory also reveals that the strong force couples a proton to a neutron, the neutron that was coupled to the proton in the nucleus will also be found amid the debris particles. 1. R. G. Moon, The Vortex Theory, The Beginning. Gordons Publications of Fort Lauderdale Fla., 2003, 184 pp. 2. R. G. Moon, The Vortex Theory Explains the Quark Theory. Gordons Publications of Fort Lauderdale Fla., 2005, 205 pp. 3. R.G. Moon, V.V. Vasiliev, The bases of the vortex theory, Book of abstracts The 53 International Meeting on Nuclear Spectroscopy and Nuclear structure, NUCLEUS-2003, October 7-10, 2003, Moscow, St.-Petersburg, Russia, 2003, p.251 4. R.G. Moon, V.V. Vasiliev, The Vortex Theory and Some Interaction in Nuclear Physics, Book of abstracts The 54 International Meeting on Nuclear Spectroscopy and Nuclear Structure, NUCLEUS-2004, June 22-25, 2004, Belgorod, Russia, 2004, p.259 5. R.G. Moon, V.V. Vasiliev. Explanation of the Conservation of Lepton Number, Book of abstracts LV National Conference on Nuclear Physics, Frontiers in the Physics of Nucleus, June 28-July 1, 2005, Saint-Petersburg, Russia, 2005, p. 347 [Preview Abstract] |
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