Abstract.
We have extended the complex scaled Green's function method to the relativistic framework describing deformed nuclei with the theoretical formalism presented in detail. We have checked the applicability and validity of the present formalism for exploration of the resonances in deformed nuclei. Furthermore, we have studied the dependences of resonances on nuclear deformations and the shape of potential, which are helpful to recognize the evolution of resonant levels from stable nuclei to exotic nuclei with axially quadruple deformations.
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J. Dobaczewski, W. Nazarewicz, T.R. Werner, J.-F. Berger, C.R. Chinn, J. Dechargé, Phys. Rev. C 53, 2809 (1996)
J. Meng, P. Ring, Phys. Rev. Lett. 77, 3963 (1996)
W. Pöschl, D. Vretenar, G.A. Lalazissis, P. Ring, Phys. Rev. Lett. 79, 3841 (1997)
I. Hamamoto, Phys. Rev. C 81, 021304(R) (2010)
J. Meng, S.G. Zhou, J. Phys. G: Nucl. Part. Phys. 42, 093101 (2015)
E.P. Wigner, L. Eisenbud, Phys. Rev. 72, 29 (1947)
G.M. Hale, R.E. Brown, N. Jarmie, Phys. Rev. Lett. 59, 763 (1987)
J. Humblet, B.W. Filippone, S.E. Koonin, Phys. Rev. C 44, 2530 (1991)
J.R. Taylor, Scattering Theory: The Quantum Theory on Nonrelativistic Collisions (John Wiley & Sons, New York, 1972)
L.G. Cao, Z.Y. Ma, Phys. Rev. C 66, 024311 (2002)
B.N. Lu, E.G. Zhao, S.G. Zhou, Phys. Rev. Lett. 109, 072501 (2012)
B.N. Lu, E.G. Zhao, S.G. Zhou, Phys. Rev. C 88, 024323 (2013)
E.N. Economou, Green's Function in Quantum Physics (Springer-Verlag, Berlin, 2006)
T.T. Sun, S.Q. Zhang, Y. Zhang, J.N. Hu, J. Meng, Phys. Rev. C 90, 054321 (2014)
T.T. Sun, Z.M. Niu, S.Q. Zhang, J. Phys. G: Nucl. Part. Phys. 43, 045107 (2016)
N. Moiseyev, Phys. Rep. 302, 211 (1998)
N. Moiseyev, Non-Hermitian Quantum Mechanics (Cambridge University Press, 2011)
V.I. Kukulin, V.M. Krasnopl'sky, J. Horáček, Theory of Resonances: Principles and Applications (Kluwer, Dordrecht, 1989).
S.S. Zhang, J. Meng, S.G. Zhou, G.C. Hillhouse, Phys. Rev. C 70, 034308 (2004)
L. Zhang, S.G. Zhou, J. Meng, E.G. Zhao, Phys. Rev. C 77, 014312 (2008)
J.Y. Guo, X.Z. Fang, P. Jiao, J. Wang, B.M. Yao, Phys. Rev. C 82, 034318 (2010)
Z.L. Zhu, Z.M. Niu, D.P. Li, Q. Liu, J.Y. Guo, Phys. Rev. C 89, 034307 (2014)
Q. Liu, J.Y. Guo, Z.M. Niu, S.W. Chen, Phys. Rev. C 86, 054312 (2012)
M. Shi, Q. Liu, Z.M. Niu, J.Y. Guo, Phys. Rev. C 90, 034319 (2014)
A.T. Kruppa, Phys. Lett. B 431, 237 (1998)
A.T. Kruppa, K. Arai, Phys. Rev. A 59, 3556 (1999)
R. Suzuki, T. Myo, K. Katō, Prog. Theor. Phys. 113, 1273 (2005)
T. Myo, Y. Kikuchi, H. Masui, K. Katō, Prog. Part. Nucl. Phys. 79, 1 (2014)
J. Carbonell, A. Deltuva, A.C. Fonseca, R. Lazauskas, Prog. Part. Nucl. Phys. 74, 55 (2014)
P. Ring, Prog. Part. Nucl. Phys. 37, 193 (1996)
D. Vretenar, A.V. Afanasjev, G.A. Lalazissis, P. Ring, Phys. Rep. 409, 101 (2005)
J. Meng, H. Toki, S.G. Zhou, S.Q. Zhang, W.H. Long, L.S. Geng, Prog. Part. Nucl. Phys. 57, 470 (2006)
B. Sun, F. Montes, L.S. Geng, H. Geissel, Yu.A. Litvinov, J. Meng, Phys. Rev. C 78, 025806 (2008)
Z.M. Niu, B. Sun, J. Meng, Phys. Rev. C 80, 065806 (2009)
X.D. Xu, B. Sun, Z.M. Niu, Z. Li, Y.-Z. Qian, J. Meng, Phys. Rev. C 87, 015805 (2013)
Z.M. Niu, Y.F. Niu, H.Z. Liang, W.H. Long, T. Nikšić, D. Vretenar, J. Meng, Phys. Lett. B 723, 172 (2013)
J.S. Zheng, N.Y. Wang, Z.Y. Wang, Z.M. Niu, Y.F. Niu, B. Sun, Phys. Rev. C 90, 014303 (2014)
M. Shi, J.Y. Guo, Q. Liu, Z.M. Niu, T.H. Heng, Phys. Rev. C 92, 054313 (2015)
X.X. Shi, M. Shi, Z.M. Niu, T.H. Heng, J.Y. Guo, Phys. Rev. C 94, 024302 (2016)
I. Hamamoto, Phys. Rev. C 79, 014307 (2009)
Z.P. Li, J. Meng, Y. Zhang, S.G. Zhou, L.N. Savushkin, Phys. Rev. C 81, 034311 (2010)
T. Berggren, Nucl. Phys. A 109, 265 (1968)
T. Myo, A. Ohnishi, K. Katō, Prog. Theor. Phys. 99, 801 (1998)
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Shi, M., Shi, XX., Niu, ZM. et al. Relativistic extension of the complex scaled Green's function method for resonances in deformed nuclei. Eur. Phys. J. A 53, 40 (2017). https://doi.org/10.1140/epja/i2017-12241-6
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DOI: https://doi.org/10.1140/epja/i2017-12241-6