S-MATRIX AND WAVE FUNCTION METHODS FOR THE CALCULATION OF SMALL DECAY WIDTHS
DSpace at IIT Bombay
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Title |
S-MATRIX AND WAVE FUNCTION METHODS FOR THE CALCULATION OF SMALL DECAY WIDTHS
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Creator |
SAHU, B
GAMBHIR, YK SHASTRY, CS |
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Subject |
superheavy nuclei
spontaneous fission resonances model scattering lifetimes proton s-matrix direct and distorted wave methods q-value decay width |
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Description |
Most of the decaying systems namely alpha-decay and proton radio activity have extremely narrow widths and hence are termed as quasi-bound states. There are three methods available for the computation of very narrow widths. First, the analytic S-matrix method which treats resonance as a pole in complex energy plane with its real part representing resonance energy and the imaginary part the half width. Another two methods namely (i) direct (D) method and (ii) distorted wave (DW) method are based on the property of the quasi-bound state wave function which is quite similar to a bound state wave function in the interior region and is matched with an out going spherical wave re presenting decaying behavior. We make a comparative study of these methods by applying them to the alpha-decay systems whose experimental results of Q-value and decay half-lives are known recently. It is observed that all the three methods give practically the same results for widths calculated at the same Q-value and explain the experimental results of Q-values and half-lives in several alpha-decaying nuclei quite well with a proper Coulomb nuclear interaction potential for the alpha+daughter nucleus system.
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Publisher |
WORLD SCIENTIFIC PUBL CO PTE LTD
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Date |
2011-09-02T02:08:12Z
2011-12-26T12:59:54Z 2011-12-27T05:53:03Z 2011-09-02T02:08:12Z 2011-12-26T12:59:54Z 2011-12-27T05:53:03Z 2010 |
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Type |
Article
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Identifier |
MODERN PHYSICS LETTERS A, 25(7), 535-547
0217-7323 http://dx.doi.org/10.1142/S0217732310032056 http://dspace.library.iitb.ac.in/xmlui/handle/10054/12937 http://hdl.handle.net/10054/12937 |
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Language |
en
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