Nuclear bound state wave function subroutine

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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Relativistic K shell ionisation of heavy atoms by electron impact: use of a relativistic helium-like bound state wave function

Zeitschrift für Physik D ◽

10.1007/s004600050113 ◽

1997 ◽

Vol 39 (2) ◽

pp. 85-91 ◽

Cited By ~ 2

Author(s):

B. Joulakian ◽

A. El Messaoudi

Keyword(s):

Wave Function ◽

Electron Impact ◽

Bound State ◽

Heavy Atoms ◽

State Wave ◽

Bound State Wave Function

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Photodetachment of the Positronium Negative Ion with Excitation in the Positronium Atom

Atoms ◽

10.3390/atoms7010002 ◽

2018 ◽

Vol 7 (1) ◽

pp. 2 ◽

Cited By ~ 4

Author(s):

Anand Bhatia

Keyword(s):

Wave Function ◽

Cross Sections ◽

Asymptotic Form ◽

Porous Silica ◽

Bound State ◽

Negative Ion ◽

Positronium Atom ◽

Final State ◽

State Wave ◽

Bound State Wave Function

Lyman-α radiation ( 2 P → 1 S ) has been seen from astrophysical sources and the sun. The line shape of this transition has been measured recently in Ps atoms both inside and outside a porous silica target. In the photodetachment of Ps−, the residual Ps atom can be left in the 2P state instead of the 1S state giving rise to positronium Lyman radiation at 2432 A0. Photodetachment cross sections of Ps− have been calculated when the Ps atom is left in nP states, n being 2, 3, 4, 5, 6 and 7, using the asymptotic form of the bound-state wave function and a plane wave for the final state wave function, following the approach of Ohmura and Ohmura [Phys. Rev. 1960, 118, 154] in the photodetachment of H−.

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