Simple functional-differential equations for the bound-state wave-function components

1986 ◽  
Vol 1 (2) ◽  
pp. 91-109 ◽  
Author(s):  
G. P. Kamuntavi?ius
Keyword(s):  
Wave Function ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Bound State ◽  
State Wave ◽  
Bound State Wave Function ◽  
Functional Differential

Quality of the three-nucleon bound-state wave function from a two-nucleon separable expansion method

1991 ◽  
Vol 11 (2-3) ◽  
pp. 89-98 ◽  
Author(s):  
W. C. Parke ◽  
Y. Koike ◽  
D. R. Lehman ◽  
L. C. Maximon
Keyword(s):  
Wave Function ◽  
Expansion Method ◽  
Bound State ◽  
State Wave ◽  
Bound State Wave Function ◽  
Separable Expansion

Variational Calculation of the Bound-State Wave Function in:λ(φ6−φ4)2:

1985 ◽  
Vol 54 (20) ◽  
pp. 2188-2190 ◽  
Author(s):  
Jurij W. Darewych ◽  
Marko Horbatsch ◽  
Roman Koniuk
Keyword(s):  
Wave Function ◽  
Bound State ◽  
Variational Calculation ◽  
State Wave ◽  
Bound State Wave Function

S-MATRIX AND WAVE FUNCTION METHODS FOR THE CALCULATION OF SMALL DECAY WIDTHS

2010 ◽  
Vol 25 (07) ◽  
pp. 535-547 ◽  
Author(s):  
BASUDEB SAHU ◽  
Y. K. GAMBHIR ◽  
C. S. SHASTRY
Keyword(s):  
Wave Function ◽  
Bound States ◽  
Spherical Wave ◽  
Bound State ◽  
Experimental Results ◽  
Q Value ◽  
Α Decay ◽  
State Wave ◽  
Bound State Wave Function ◽  
S Matrix

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.

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

Atoms ◽  
2018 ◽  
Vol 7 (1) ◽  
pp. 2 ◽  
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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