Two-body binding energy calculation using homogeneous and inhomogeneous Lippmann-Schwinger equations within three-dimensional approach

Tahamipour Zarandi, F; Hassanvand, M

doi:10.47176/ijpr.21.4.41241

Two-body binding energy calculation using homogeneous and inhomogeneous Lippmann-Schwinger equations within three-dimensional approach

Document Type : Original Article

Authors

F Tahamipour Zarandi

M Hassanvand

Department of Physics, Isfahan University of Technology, Isfahan, Iran

https://doi.org/10.47176/ijpr.21.4.41241

Abstract

Bound state equations are mostly solved in partial-wave truncated basis. In partial-wave method, we need to consider many partial waves to reach the accurate results. In this paper, we avoid partial-wave decompositions and directly work with vector variables to solve homogeneous and inhomogeneous Lippmann-Schwinger equations. We study binding energies of deuteron and atomic hydrogen using three-dimensional approach.

Keywords

Lippmann-Schwinger equation

homogeneous

inhomogeneous

three-dimensional approach

deuteron

atomic hydrogen

20.1001.1.16826957.1400.21.4.18.7

A Picklesimer, R A Rice, and R Brandenburg, Rev. C 45 (1992) 2045.

A Stadler, W Glöckle, P U Sauer, Rev. C 44 (1991)2319.

A Nogga, D. Hüber, H Kamada, W Glöckle, lett. B 409 (1997)19.

J L Fariar, B F Gibson, and G L Payne, Z Physik A 301 (1981) 309.

N W Schellingerhout, L P Kok, and G D Bosveld, Rev. A 40 (1989) 5568.

Y Wu, S Ishikawa, T Sasakawa, Few- Body Systems 15 (1993) 145.

A Arriaga, V R pandharipande, R B Wiringa, Rev. C 52 (1995)2362.

J Carlson, Rev. C 36 (1987)2026.

M Viviani and A Kievsky, S Rosati, Nuovo Cim. 105 A (1992) 1473.

A Kievsky, L E Marcucci, S Rosati, and M Viviani, Few- Body Syst. 22 (1997)1.

H Kameyama, M Kamimura, and Y Fukushima, Rev. C 40 (1989) 974.

O Kalusch, and W Glöckle, Few- Body Syst. 5 (1988) 79.

M R Hadizadeh, “Three Body Binding Energy Calculation Within Three Dimensional Scheme(Without Angular Momentum Decomposition) ”, Master thesis, University of Tehran, (2003).

R. Hadizadeh, “The Study and Investigation of the Three- and Four-Body Bound States in a Three-Dimensional Approach”, Ph. D. thesis, University of Tehran, (2008).