Resonance scattering with modified continuum states

Micklinghoff, M.

doi:10.1016/0375-9474(78)90112-4

Cited by 12 publications

(2 citation statements)

References 3 publications

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“…halo) states poses a significant theoretical challenge. One possible way of tackling this problem is by means of the continuum shell model (CSM), in which the basis consists of both bound and unbound states, e.g., the eigenvectors of some finite shell-model potential [1][2][3][4][5][6][7]. An alternative approach is to discretize the continuum by means of Sturmian function expansions or resonant state expansions.…”

Section: Introductionmentioning

confidence: 99%

New discrete basis for nuclear structure studies

1998

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A complete discrete set of spherical single-particle wave functions for studies of weakly-bound many-body systems is proposed. The new basis is obtained by means of a local-scale point transformation of the spherical harmonic oscillator wave functions. Unlike the harmonic oscillator states, the new wave functions decay exponentially at large distances. Using the new basis, characteristics of weakly-bound orbitals are analyzed and the ground state properties of some spherical doubly-magic nuclei are studied. The basis of the transformed harmonic oscillator is a significant improvement over the harmonic oscillator basis, especially in studies of exotic nuclei where the coupling to the particle continuum is important.PACS number(s): 21.10. Pc, 21.60.Cs, 21.60.Jz, 71.15.Mb Typeset using REVT E X

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Section: Introductionmentioning

confidence: 99%

New discrete basis for nuclear structure studies

1998

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“…For this, it is enough to slightly shake the nucleus by providing it with a little bit of energy. This is an old problem which, in the context of excited states near or above the particle threshold, has been addressed by the continuum shell model (CSM) [21][22][23][24][25][26][27][28]. In the CSM, the continuum states (decay channels) and bound states are treated on equal footing.…”

Section: New Theoretical Aspects Of Physics With Exotic Beamsmentioning

confidence: 99%

Theoretical aspects of science with radioactive nuclear beams

Dobaczewski

Nazarewicz

1998

Philosophical Transactions of the Royal Society of London. Seri

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Physics of radioactive nuclear beams is one of the main frontiers of nuclear science today. Experimentally, thanks to technological developments, we are on the verge of invading the territory of extreme N/Z ratios in an unprecedented way. Theoretically, nuclear exotica represent a formidable challenge for the nuclear many-body theories and their power to predict nuclear properties in nuclear terra incognita. It is important to remember that the lesson learned by going to the limits of the nuclear binding is also important for "normal" nuclei from the neighborhood of the beta stability valley. And, of course, radioactive nuclei are crucial astrophysically; they pave the highway along which the nuclear material is transported up in the proton and neutron numbers during the complicated synthesis process in stars.

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Doorway Structures in the Radiative Capture of Fast Neutrons

Castel

Micklinghoff

1979

Neutron Capture Gamma-Ray Spectroscopy

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Resonance scattering with modified continuum states

Cited by 12 publications

References 3 publications

New discrete basis for nuclear structure studies

New discrete basis for nuclear structure studies

Theoretical aspects of science with radioactive nuclear beams

Doorway Structures in the Radiative Capture of Fast Neutrons

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