### 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 language | English |
---|---|

Pages (from-to) | 535-547 |

Number of pages | 13 |

Journal | Modern Physics Letters A |

Volume | 25 |

Issue number | 7 |

DOIs | |

Publication status | Published - 07-03-2010 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Astronomy and Astrophysics

### Cite this

*Modern Physics Letters A*,

*25*(7), 535-547. https://doi.org/10.1142/S0217732310032056

}

*Modern Physics Letters A*, vol. 25, no. 7, pp. 535-547. https://doi.org/10.1142/S0217732310032056

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - S-matrix and wave function methods for the calculation of small decay widths

AU - Sahu, Basudeb

AU - Gambhir, Y. K.

AU - Shastry, C. S.

PY - 2010/3/7

Y1 - 2010/3/7

N2 - 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.

AB - 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.

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U2 - 10.1142/S0217732310032056

DO - 10.1142/S0217732310032056

M3 - Article

VL - 25

SP - 535

EP - 547

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 7

ER -