Unitary pole approximations and expansions in few-body systems

1982 ◽  
Vol 25 (4) ◽  
pp. 1738-1750 ◽  
Author(s):  
A. Casel ◽  
H. Haberzettl ◽  
W. Sandhas
Keyword(s):  
Approximations And Expansions ◽  
Unitary Pole

Test of the Unitary Pole Approximation to the Malfliet-Tjon Potential for Elastic Neutron-Deuteron Scattering

1975 ◽  
Vol 30 (4) ◽  
pp. 434-436
Author(s):  
H. Ziegelmann
Keyword(s):  
Soft Core ◽  
Breakup Threshold ◽  
Pole Approximation ◽  
Elastic Neutron ◽  
Deuteron Scattering ◽  
Unitary Pole

Abstract The quality of the unitary pole approximation to the soft-core Malfliet-Tjon potential is demon-strated for elastic neutron-deuteron scattering above breakup threshold.

Investigation of the accuracy of the unitary pole approximation

1973 ◽  
Vol 207 (3) ◽  
pp. 527-537 ◽  
Author(s):  
M.K. Srivastava ◽  
A.P.S. Sirohi
Keyword(s):  
Pole Approximation ◽  
Unitary Pole

Multi-channel unitary pole resonance form of the collision matrix

1968 ◽  
Vol 26 (9) ◽  
pp. 556-558 ◽  
Author(s):  
N. Ullah ◽  
C.S. Warke
Keyword(s):  
Unitary Pole

Comments on the validity of the unitary pole approximation

1975 ◽  
Vol 25 (3) ◽  
pp. 259-263 ◽  
Author(s):  
B. L. G. Bakker ◽  
W. Sandhas
Keyword(s):  
Pole Approximation ◽  
Unitary Pole

Conical functions of purely imaginary order and argument

2013 ◽  
Vol 143 (5) ◽  
pp. 929-955
Author(s):  
T. M. Dunster
Keyword(s):  
Closed Geodesic ◽  
Asymptotic Approximations ◽  
Parabolic Cylinder ◽  
Legendre Functions ◽  
Associated Legendre Functions ◽  
Approximations And Expansions ◽  
Fourier Expansions ◽  
Parabolic Cylinder Functions ◽  
Conical Form

Associated Legendre functions are studied for the case where the degree is in conical form −½ + iτ (τ real), and the order iμ and argument ix are purely imaginary (μ and x real). Conical functions in this form have applications to Fourier expansions of the eigenfunctions on a closed geodesic. Real-valued numerically satisfactory solutions are introduced which are continuous for all real x. Uniform asymptotic approximations and expansions are then derived for the cases where one or both of μ and τ are large; these results (which involve elementary, Airy, Bessel and parabolic cylinder functions) are uniformly valid for unbounded x.

Quality of the three - body wave function obtained with the unitary pole approximation

1972 ◽  
Vol 40 (1) ◽  
pp. 61-64 ◽  
Author(s):  
E. Hadjimichael ◽  
E. Harms ◽  
V. Newton
Keyword(s):  
Wave Function ◽  
Body Wave ◽  
Pole Approximation ◽  
Unitary Pole ◽  
Three Body

The unitary pole approximation for the binding energy of 4He

1978 ◽  
Vol 294 (1-2) ◽  
pp. 49-65 ◽  
Author(s):  
S. Sofianos ◽  
H. Fiedeldey ◽  
N.J. McGurk
Keyword(s):  
Binding Energy ◽  
Pole Approximation ◽  
Unitary Pole

The tensor force and the accuracy of the unitary pole approximation

1976 ◽  
Vol 26 (6) ◽  
pp. 626-637 ◽  
Author(s):  
M. L. Sharma ◽  
A. P. S. Sirohi ◽  
J. S. Verma
Keyword(s):  
Tensor Force ◽  
Pole Approximation ◽  
Unitary Pole
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