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

S. Mahadevan, P. Prema, C. S. Shastry, Y. K. Gambhir

Research output: Contribution to journalArticle

20 Citations (Scopus)

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 languageEnglish
Article number057601
JournalPhysical Review C - Nuclear Physics
Volume74
Issue number5
DOIs
Publication statusPublished - 2006

Fingerprint

matrix methods
decay
heavy elements
matrices

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

@article{8db7cd9c6f3c4fdcaed22aab892b1de6,
title = "Comparison of S-matrix and WKB methods for half-width calculations",
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.",
author = "S. Mahadevan and P. Prema and Shastry, {C. S.} and Gambhir, {Y. K.}",
year = "2006",
doi = "10.1103/PhysRevC.74.057601",
language = "English",
volume = "74",
journal = "Physical Review C - Nuclear Physics",
issn = "0556-2813",
publisher = "American Physical Society",
number = "5",

}

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

In: Physical Review C - Nuclear Physics, Vol. 74, No. 5, 057601, 2006.

Research output: Contribution to journalArticle

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 -