dorsal/arxiv
View SchemaResonance trapping and saturation of decay widths
| Authors | E. Persson, T. Gorin, I. Rotter |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9805029 |
| URL | https://arxiv.org/abs/nucl-th/9805029 |
| DOI | 10.1103/PhysRevE.58.1334 |
| Journal | Phys.Rev.E58:1334-1345,1998 |
Abstract
Resonance trapping appears in open many-particle quantum systems at high level density when the coupling to the continuum of decay channels reaches a critical strength. Here a reorganization of the system takes place and a separation of different time scales appears. We investigate it under the influence of additional weakly coupled channels as well as by taking into account the real part of the coupling term between system and continuum. We observe a saturation of the mean width of the trapped states. Also the decay rates saturate as a function of the coupling strength. The mechanism of the saturation is studied in detail. In any case, the critical region of reorganization is enlarged. When the transmission coefficients for the different channels are different, the width distribution is broadened as compared to a chi_K^2 distribution where K is the number of channels. Resonance trapping takes place before the broad state overlaps regions beyond the extension of the spectrum of the closed system.
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"abstract": "Resonance trapping appears in open many-particle quantum systems at high\nlevel density when the coupling to the continuum of decay channels reaches a\ncritical strength. Here a reorganization of the system takes place and a\nseparation of different time scales appears. We investigate it under the\ninfluence of additional weakly coupled channels as well as by taking into\naccount the real part of the coupling term between system and continuum. We\nobserve a saturation of the mean width of the trapped states. Also the decay\nrates saturate as a function of the coupling strength. The mechanism of the\nsaturation is studied in detail. In any case, the critical region of\nreorganization is enlarged. When the transmission coefficients for the\ndifferent channels are different, the width distribution is broadened as\ncompared to a chi_K^2 distribution where K is the number of channels. Resonance\ntrapping takes place before the broad state overlaps regions beyond the\nextension of the spectrum of the closed system.",
"arxiv_id": "nucl-th/9805029",
"authors": [
"E. Persson",
"T. Gorin",
"I. Rotter"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevE.58.1334",
"journal_ref": "Phys.Rev.E58:1334-1345,1998",
"title": "Resonance trapping and saturation of decay widths",
"url": "https://arxiv.org/abs/nucl-th/9805029"
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