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  • 1
    Electronic Resource
    Electronic Resource
    Effective Hamiltonian within the microscopic unitary nuclear model. I: Coherent-state restriction technique for microscopic Hamiltonian (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1683-1695 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A technique of projecting the microscopic nuclear Hamiltonian on the SU(3) group enveloping algebra is developed. The proposed approach is based on the effective Hamiltonian restoring from the matrix elements between the coherent states of the SU(3) irreducible representations. The technique is displayed for almost magic nuclei within the mixed representation basis, and for arbitrary nuclei within the single representation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529280
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  • 2
    Electronic Resource
    Electronic Resource
    Microscopic collective nuclear models with horizontal mixture (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 2419-2431 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: By accounting for the difference in the spin and isospin projection among nucleons, the Sp(6,R) dynamical symmetry of the nuclear collective model is amplified in parallel with a horizontal extension of the instrinic shell structure. The generating kernels for the extended symplectic model basis functions are constructed in the form of a shortened coherent state. Analytical expressions for the microscopic Hamiltonian matrix elements, including central and tensor interactions, are obtained between the coherent states indicated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528519
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  • 3
    Electronic Resource
    Electronic Resource
    Microscopic SUπ(3)⊗SUν(3) interpretation of a two triaxial rotor model (1998)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 39 (1998), S. 1350-1365 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A description of the relative motion of neutrons and protons in strongly deformed even-even nuclei is reduced to that of two coupled triaxial rotors, one representing the neutrons and the other the protons, by using generating function methods. The two rotor theory is interpreted as a generalization of the Elliott SU(3) model with a neutron–proton direct product SUν(3)×SUπ(3) substructure. The second order Casimir operator for this system is constructed and some of its eigenfunctions are found in explicit form in the Fock–Bargmann space representation. Analytical results for isovector M1 transitions probabilities are obtained and the results compared with experimental data and pseudo-SU(3) calculations. Graphs picturing the relative orientation of neutron-proton rotors in 22Ne are presented. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532383
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  • 4
    Electronic Resource
    Electronic Resource
    On the complete basis of Pauli-allowed states of three-cluster systems in the Fock–Bargmann space (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 4571-4589 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In the Fock–Bargmann space, the complete harmonic-oscillator basis for the three-cluster system is constructed. The indices of the reduction U(6)&supuline;U(2)×U(3) are chosen as the quantum numbers. The Pauli-forbidden states are eliminated by the orthogonal transformation of basis functions. The basis states are obtained in terms of hypergeometric functions and the spherical Wigner functions. Their simple form allows one to solve the problem of calculating the matrix elements of the microscopic Hamiltonian needed for the study of three-cluster systems within the algebraic version of RGM. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530909
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  • 5
    Electronic Resource
    Electronic Resource
    Multichannel features of the continuous spectrum of 6He (2000)
    Springer
    Physics of atomic nuclei 63 (2000), S. 179-190 
    Details
    ISSN: 1063-7788
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that the continuous spectrum of the 6He nucleus immediately above the threshold for its breakup into an alpha particle and two neutrons has some features that are not peculiar to the continuous spectrum of binary systems. This spectrum has an infinite degeneracy multiplicity; hence, there exist an infinite number of decay channels even if we fix the angular momentum and the parity of a channel. In states characterized by a fixed value of the grand orbital, the potential energy of the 6He nucleus decreases with increasing hyperradius in inverse proportion to its cube. This circumstance is reflected in the behavior of the S-matrix elements for 3 → 3 scattering at low above-threshold energies. Because of the effect of the Pauli exclusion principle, the grand orbital generally ceases to be an appropriate quantum number for classifying decay channels, and the resulting conventional situation requires invoking superpositions of states corresponding to different values of the grand orbital. Within the method of three-cluster hyperharmonics and the approximation of an asymptotic potential, we calculate the eigenphases of the scattering matrix and reveal regularities in the behavior of these phases as functions of energy.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1134/1.855619
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  • 6
    Electronic Resource
    Electronic Resource
    The equations of turbulent flow for an incompressible fluid (1968)
    Springer
    Journal of applied mechanics and technical physics 9 (1968), S. 114-115 
    Details
    ISSN: 1573-8620
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00923480
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  • 7
    Electronic Resource
    Electronic Resource
    Asymptotic spectrum of three-particle system with exchange potential (1976)
    Springer
    Theoretical and mathematical physics 26 (1976), S. 223-229 
    Details
    ISSN: 1573-9333
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01032092
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  • 8
    Electronic Resource
    Electronic Resource
    On the shape of light nuclei in the translationally invariant shell model (1978)
    Springer
    Theoretical and mathematical physics 34 (1978), S. 173-183 
    Details
    ISSN: 1573-9333
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01028037
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