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  • 1
    Electronic Resource
    Electronic Resource
    Angular reduction in multiparticle matrix elements (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 2797-2806 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A general method for reduction of coupled spherical harmonic products is presented. When the total angular coupling is zero, the reduction leads to an explicitly real expression in the scalar products of the unit vector arguments of the spherical harmonics. For nonscalar couplings, the reduction gives Cartesian tensor forms for the spherical harmonic products; tensors built from the physical vectors in the original expression. The reduction for arbitrary couplings is given in closed form, making it amenable to symbolic manipulation on a computer. The final expressions do not depend on a special choice of coordinate axes, nor do they contain azimuthal quantum number summations, or do they have complex tensor terms for couplings to a scalar; consequently, they are easily interpretable from the properties of the physical vectors they contain.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528515
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Manifestations of the D-State in Light Nuclei (1988)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Nuclear and Particle Science 38 (1988), S. 563-608 
    Details
    ISSN: 0163-8998
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1146/annurev.ns.38.120188.003023
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  • 3
    Electronic Resource
    Electronic Resource
    Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method (1991)
    Springer
    Few body systems 11 (1991), S. 89-98 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The numerical quality of the3H wave function obtained by the separable expansion method of Ernst, Shakin, and Thaler is examined. Separable approximations to the Paris potential with increasing accuracy are used in the1 S 0 and3 S 1-3 D 1 partial waves to calculate the binding energy, wave function, wave-function component percentages, and theS- andD-wave asymptotic normalization constants of3H. The results are compared with existing five-channel calculations obtained directly (without expansion) from the Paris potential to determine convergence. It is found that the results converge rapidly to the right values, indicating that the3H wave function thus obtained is of high quality and essentially indistinguishable from that obtained directly from the Paris interaction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01318554
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  • 4
    Electronic Resource
    Electronic Resource
    Accurate Three-Nucleon Bound-State Calculation with an Extended Separable Expansion of the Two-Body T-Matrix (1998)
    Springer
    Few body systems 23 (1998), S. 53-73 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. An accurate solution for the three-nucleon bound state is obtained within 1 keV in the binding energy and, on the whole, better than 1% in the wave function, using a new systematic and efficient method. The method is based on a recently developed separable expansion for any finite-range interaction, in which a rigorous separable series for the two-body t-matrix is obtained by expanding the wave function in terms of a complete set of basis functions inside the range of the potential. In order to treat a potential with a strong repulsive core, as in the case of the Argonne potential, we develop a two-potential formalism. The expansion starts with a few EST (Ernst, Shakin, and Thaler) terms in order to accelerate the convergence and continues with an orthogonal set of polynomials, avoiding the known difficulties of a pure EST expansion. Thus, several techniques are combined in the present extended separable expansion (ESE). In this way, the method opens a new systematic treatment for accurate few-body calculations resulting in a dramatic reduction in the CPU time required to solve few-body equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s006010050064
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  • 5
    Electronic Resource
    Electronic Resource
    Dynamical Study of Tensor Observables in the Energy Range of 80 keV to 95 MeV: Tests of Effective Two-Body Models (2000)
    Springer
    Few body systems 28 (2000), S. 189-229 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract.  Realistic interactions are used to study tensor observables in the energy range of 80 keV to 95 MeV deuteron laboratory energy, as well as the differential cross section for the two-body photodisintegration of . The Siegert form of the E1 multipole operator in the long-wavelength limit is taken as the sole component of the electromagnetic interaction. The three-body Faddeev equations for the bound-state and continuum wave functions are solved using the Paris, Argonne V14, Bonn-A, and Bonn-B potentials. The corresponding nucleon-nucleon t-matrices are represented in a separable form using the Ernst-Shakin-Thaler representation. The Coulomb force between protons is neglected and no three-nucleon force is included. The contribution of nucleon-nucleon P-wave components to the observables is carefully studied, not only in the angular distribution of the observables, but also as a function of the deuteron laboratory energy for fixed centre-of-mass angle. Comparison with data is shown wherever it exists. Results with simple Yamaguchi-type interactions with variable %D-state in the deuteron are compared with realistic interactions and one of these model potentials is used to study the results in terms of contributions from specific wave-function components or terms in the electromagnetic operator. Effective two-body models are examined by means of a derivation that is consistent with the underlying three-body calculation and that leads to an effective two-body t-matrix for neutron-deuteron elastic scattering carrying the same on-shell amplitudes as the original three-body equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s006010070021
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  • 6
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    Spectator influence on basketball officiating (1987)
    Worcester, Mass. : Periodicals Archive Online (PAO)
    Journal of Social Psychology. 127 (1987) 673-675 
    Details
    ISSN: 0022-4545
    Topics: Psychology , Sociology
    URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pao:&rft_dat=xri:pao:article:1143-1987-127-00-000059
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  • 7
    Electronic Resource
    Electronic Resource
    L-S coupling and the magnetic moment of6Li from three-body models (1986)
    Springer
    Few body systems 1 (1986), S. 193-201 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Recently, the shell structure of6Li was calculated from three-body models (αpn) where the only input is the required nucleon-nucleon and alpha-nucleon interactions. There it was learned, within the framework ofj-j coupling for the two valence nucleons with their coordinate's origin on the alpha particle, that orbitals beyond thep-shell, e.g. thes-d shell, play a significant role in the structure of6Li. In the present work, we extend these calculations to thef-shell. Thef-shell orbital probabilities add ∼4% to the normalization, thus bring all the models to within 3–5% of complete convergence. We then use thej-j coupling orbital amplitudes up to thef-shell to construct the corresponding amplitudes forL-S coupling. We find theL-S orbital probabilities, and compare them with theL-S component probabilities calculated directly by recoupling the three-body wave function from its “natural” Jacobi-coordinate form. The6Li magnetic moment is determined from the directL-S probabilities. The most realistic models yield magnetic moments about 2.5% higher than experiment.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01076711
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