S-matrix and wave function methods for the calculation of small decay widths

Basudeb Sahu, Y. K. Gambhir, C. S. Shastry

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Most of the decaying systems namely α-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 outgoing spherical wave representing decaying behavior. We make a comparative study of these methods by applying them to the α-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 α-decaying nuclei quite well with a proper Coulomb nuclear interaction potential for the α+daughter nucleus system.

Original languageEnglish
Pages (from-to)535-547
Number of pages13
JournalModern Physics Letters A
Volume25
Issue number7
DOIs
Publication statusPublished - 07-03-2010

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wave functions
decay
matrices
half life
nuclei
spherical waves
nuclear interactions
radioactivity
matrix methods
poles
protons
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

Cite this

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S-matrix and wave function methods for the calculation of small decay widths. / Sahu, Basudeb; Gambhir, Y. K.; Shastry, C. S.

In: Modern Physics Letters A, Vol. 25, No. 7, 07.03.2010, p. 535-547.

Research output: Contribution to journalArticle

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