Prog. Theor. Phys. Vol. 109 No. 5 (2003) pp. 869-874

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Letters

Complex Energy Method for Scattering Processes

Hiroyuki Kamada,^1,^* Yasuro Koike^2,3,^** and Walter Glöckle^4,^***

¹Department of Physics, Faculty of Engineering, Kyushu Institute of Technology, Kitakyushu 804-8550, Japan
²Science Research Center, Hosei University, Tokyo 102-8160, Japan
³Center for Nuclear Study, University of Tokyo, Wako 351-0198, Japan
⁴Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany

(Received October 22, 2002)

Abstract:

A method for solving few-body scattering equations is proposed and examined. The solution of the scattering equations at complex energies is analytically continued to get scattering t-matrix with real positive energy. Numerical examples document that the method works well for two-nucleon scattering and three-nucleon scattering, if the set of complex energies is properly chosen.

URL : http://ptp.ipap.jp/link?PTP/109/869/
DOI : 10.1143/PTP.109.869

^*E-mail: kamada@mns.kyutech.ac.jp
^**E-mail: koike@i.hosei.ac.jp
^***E-mail: walter.gloeckle@tp2.ruhr-uni-bochum.de

References:

E. W. Schmid and H. Ziegelmann, The Quantum Mechanical Three-Body Problem (Pergamon Press, Oxford, 1974).
D. Hüber, H. Kamada, H. Witała and W. Glöckle, Few-Body Systems 16 (1994), 165.
W. Glöckle, H. Witała, D. Hüber, H. Kamada and J. Golak, Phys. Rep. 274 (1996), 107[CrossRef].
C. Lovelace, Phys. Rev. C 135 (1964), 1125[APS].
R. T. Cahill and I. H. Sloan, Nucl. Phys. A 165 (1971), 161[CrossRef].
W. Ebenhöh, Nucl. Phys. A 191 (1972), 97[CrossRef].
Y. Koike, Nucl. Phys. A 301 (1978), 411[CrossRef].
L. Schlessinger, Phys. Rev. 167 (1968), 1411[APS].
F. A. McDonald and J. Nuttall, Phys. Rev. A 4 (1971), 1821[APS].
W. P. Reinhardt, D. W. Oxtoby and T. N. Resicgno, Phys. Rev. Lett. 28 (1972), 401[APS].
G. Doolen, G. McCartor, F. A. McDonald and J. Nuttall, Phys. Rev. A 4 (1971), 108[APS].
V. D. Efros, W. Leidemann and G. Orlandini, Phys. Lett. B 338 (1994), 130[CrossRef].
V. D. Efros, Yadern. Fiz. 41 (1985), 1498 [Sov. J. Nucl. Phys. 41 (1985), 949].
S. Martinelli, H. Kamada, G. Orlandini and W. Glöckle, Phys. Rev. C 52 (1995), 2906[APS].
Y. Yamaguchi, Phys. Rev. 95 (1954), 1628[APS].
R. Machleidt, F. Sammarruca and Y. Song, Phys. Rev. C 53 (1996), R1483[APS].
L. D. Faddeev, Sov. Phys. -JETP 12 (1961), 1014.
E. O. Alt, P. Grassberger and W. Sandhas, Nucl. Phys. B 2 (1967), 167[CrossRef].
W. Glöckle, The Quantum-Mechanical Few-Body Problem (Springer Verlag, Berlin, Heiderberg, 1983).
Y. Koike, Phys. Rev. C 42 (1990), R2286[APS].
Y. Koike, W. C. Parke, L. C. Maxmon and D. R. Lehman, Few-Body Systems 23 (1997), 53.
W. C. Parke, Y. Koike, D. R. Lehman and L. C. Maxmon, Few-Body Systems 11 (1991), 89.
R. B. Wiringa, R. A. Smith and T. L. Ainsworth, Phys. Rev. C 29 (1984), 1207[APS].

Citing Article(s) :

Progress of Theoretical Physics Vol. 113 No. 4 (2005) pp. 809-820 :
Does Σ- Σ- α Form a Quasi-Bound State?

Htun Htun Oo, Khin Swe Myint, Hiroyuki Kamada and Walter Glöckle
Progress of Theoretical Physics Vol. 115 No. 2 (2006) pp. 309-323 :
Four-Body Faddeev-Yakubovsky Calculation Using the Finite Range Expansion Method

Eizo Uzu and Yasuro Koike
Progress of Theoretical Physics Vol. 115 No. 4 (2006) pp. 839-844 :
Separability of a Low-Momentum Effective Nucleon-Nucleon Potential

Hiroyuki Kamada, Shinichiro Fujii, Eizo Uzu, Masahiro Yamaguchi, Ryoji Okamoto and Yasuro Koike
Progress of Theoretical Physics Vol. 127 No. 6 (2012) pp. 1033-1039 :
The Complex Energy Method Applied to the Nd Scattering with a Model Three-Body Force

Aye Mya Phyu, Hiroyuki Kamada, Jacek Golak, Htun Htun Oo, Henryk Witała and Walter Glöckle