### Abstract

The calculated Q values and half widths of α-decay of superheavy elements using both the S-matrix and the WKB methods are analyzed. The calculations are carried out using the microscopically derived α-daughter potentials for the parents appearing in the α-decay chain of super heavy element (A=277,Z=112). Both the S-matrix and the WKB methods though yield comparable results for smaller, in fact negative log τ1/2 values, the former is superior. However, for the case of positive log τ1/2 it is found that the S-matrix method though exact, runs into some numerical difficulties.

Original language | English |
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Article number | 057601 |

Journal | Physical Review C - Nuclear Physics |

Volume | 74 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2006 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*74*(5), [057601]. https://doi.org/10.1103/PhysRevC.74.057601

}

*Physical Review C - Nuclear Physics*, vol. 74, no. 5, 057601. https://doi.org/10.1103/PhysRevC.74.057601

**Comparison of S-matrix and WKB methods for half-width calculations.** / Mahadevan, S.; Prema, P.; Shastry, C. S.; Gambhir, Y. K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Comparison of S-matrix and WKB methods for half-width calculations

AU - Mahadevan, S.

AU - Prema, P.

AU - Shastry, C. S.

AU - Gambhir, Y. K.

PY - 2006

Y1 - 2006

N2 - The calculated Q values and half widths of α-decay of superheavy elements using both the S-matrix and the WKB methods are analyzed. The calculations are carried out using the microscopically derived α-daughter potentials for the parents appearing in the α-decay chain of super heavy element (A=277,Z=112). Both the S-matrix and the WKB methods though yield comparable results for smaller, in fact negative log τ1/2 values, the former is superior. However, for the case of positive log τ1/2 it is found that the S-matrix method though exact, runs into some numerical difficulties.

AB - The calculated Q values and half widths of α-decay of superheavy elements using both the S-matrix and the WKB methods are analyzed. The calculations are carried out using the microscopically derived α-daughter potentials for the parents appearing in the α-decay chain of super heavy element (A=277,Z=112). Both the S-matrix and the WKB methods though yield comparable results for smaller, in fact negative log τ1/2 values, the former is superior. However, for the case of positive log τ1/2 it is found that the S-matrix method though exact, runs into some numerical difficulties.

UR - http://www.scopus.com/inward/record.url?scp=33750856318&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750856318&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.74.057601

DO - 10.1103/PhysRevC.74.057601

M3 - Article

VL - 74

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 5

M1 - 057601

ER -