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Nuclear Theory·nucl-th

Thursday·June 25, 2015

7 papers—4 primary·3 cross-listed

All7Primary4Cross-lists3
  1. 01

    Equally Spaced Levels with T=1 two-body Matrix elements

    Wesley Pereira · Ricardo Garcia · Larry Zamick · Alberto Escuderos

    If one examines two-body matrix elements from experiment one notices that not only J=0 T=1 lies low but also J=1T=0 and J=J_{max} =2j T=0. It is sometimes thought that one needs both T=1 and T=0 two-body matrix elements to get equally spaced spectra of even I states i.e. vibraitonal spectra. We here attempt to get equally spaced levels with only those that have T=1 (even J).As an example we perform single-j calculations (f_{7/2}) in ^{44} T and ^{46} Ti. We then shift gears and decide to play around with the input two particle matrix, elements (not worrying about experiment) to generate interesting spectra e.g. rotaional spectra with and then without T=0 two-body matrix element. Of special interest is a new partial dynamical symmetry found when the "123", the "1234" etc.,interactions are used.

    nucl-th1 citation
  2. 02

    Impurity effects of particle on the 2 cluster states of Be and Be

    Masahiro Isaka · Masaaki Kimura

    The low-lying structure of Be and Be are investigated within the framework of the antisymmetrized molecular dynamics. We focus on the modifications of the excitation spectra and dynamical changes of the 2 cluster structure caused by a particle as an impurity in these hypernuclei. It is found that the excitation energies of well-pronounced cluster states are largely shifted up by the addition of a particle. Furthermore, we also find that the 2 cluster structure is significantly changed in the excited states, whereas it is almost unchanged in the ground states.

    nucl-thPRC(2015)·27 citations
  3. 03

    Analytical solutions for the Bohr Hamiltonian with the Woods-Saxon potential

    M. Capak · D. Petrellis · B. Gonul · Dennis Bonatsos

    Approximate analytical solutions in closed form are obtained for the 5-dimensional Bohr Hamiltonian with the Woods-Saxon potential, taking advantage of the Pekeris approximation and the exactly soluble one-dimensional extended Woods-Saxon potential with a dip near its surface. Comparison to the data for several gamma-unstable and prolate deformed nuclei indicates that the potential can describe well the ground state and gamma-1 bands of many prolate deformed nuclei corresponding to large enough "well size" and diffuseness, while it fails in describing the beta-1 bands, due to its lack of a hard core, as well as in describing gamma-unstable nuclei, because of the small "well size" and diffuseness they exhibit.

    nucl-thJ.Phys.G(2015)·37 citations
  4. 04

    Bohr Hamiltonian with a deformation-dependent mass term: physical meaning of the free parameter

    Dennis Bonatsos · N. Minkov · D. Petrellis

    Embedding of the 5-dimensional (5D) space of the Bohr Hamiltonian with a deformation-dependent mass (DDM) into a 6-dimensional (6D) space shows that the free parameter in the dependence of the mass on the deformation is connected to the curvature of the 5D space, with the special case of constant mass corresponding to a flat 5D space. Comparison of the DDM Bohr Hamiltonian to the 5D classical limit of Hamiltonians of the 6D interacting boson model (IBM), shows that the DDM parameter is proportional to the strength of the pairing interaction in the U(5) (vibrational) symmetry limit, while it is proportional to the quadrupole-quadrupole interaction in the SU(3) (rotational) symmetry limit, and to the difference of the pairing interactions among s, d bosons and d bosons alone in the O(6) (gamma-soft) limit. The presence of these interactions leads to a curved 5D space in the classical limit of IBM, in contrast to the flat 5D space of the original Bohr Hamiltonian, which is made curved by the introduction of the deformation-dependent mass.

    nucl-thJ.Phys.G(2015)·17 citations

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first authorsco-authorsvia INSPIRE