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In the framework of the relativistic mean field (RMF) theory, the single-particle resonant states for spherical nuclei are studied by the complex scaling method. Taking 122Zr for example, we demonstrae the calculated details, and the obtained energies, widths, and wave functions for all the possiable resonant states. The results are in good agreement with those from the analytic continuation in the coupling constant method and the scattering phase shift method. Furthermore, we investigate the resonant states for all the Zr isotopes. The results are in satisfactory agreement with those from the scattering phase-shift method.
[1] Tanihata I, Hamagaki H, Hashimoto O, Shida Y 1985 Phys. Rev. Lett. 55 2676
[2] Vretenar D, Afanasjev A V, Lalazissis G A, Ring P 2005 Phys. Rep. 409 101
[3] [4] Meng J, Toki H, Zhou S G, Zhang S Q, Long W H, Geng L S 2006 Prog. Part. Nucl. Phys. 57 470
[5] [6] [7] Zhi Q J 2011 Acta Phys. Sin. 60 052101 (in Chinese) [支启军 2011 60 052101]
[8] Curutchet P, Vertse T, Liotta R J 1989 Phys. Rev. C 39 1020
[9] [10] Cao L G, Ma Z Y 2002 Phys. Rev. C 66 024311
[11] [12] [13] Brgers A, Wintgen D, Rost J M 1995 J. Phys. B: At. Mol. Opt. Phys. 28 3163
[14] Wigner E P, Eisenbud L 1947 Phys. Rev. 72 29
[15] [16] [17] Taylor J R 1972 Scattering Theory: The Quantum Theory on Nonrelativistic Collisions (New York: John Wiley and Son) p240
[18] Hazi A U, Taylor H S 1970 Phys. Rev. A 1 1109
[19] [20] [21] Kukulin V I, Krasnopl'sky V M, Horcek J 1989 Theory of Resonances: Principlesand Applications (Dordrecht: Kluwer Academic Publishers) p219
[22] [23] Ho Y K 1983 Phys. Rep. 99 1
[24] [25] eba P 1988 Lett. Math. Phys. 16 51
[26] Moiseyev N 1998 Phys. Rep. 302 211
[27] [28] Ivanov I A, Ho Y K 2004 Phys. Rev. A 69 023407
[29] [30] Pestka G, Bylicki M, Karwowski J 2006 J. Phys. B 39 2979
[31] [32] [33] Alhaidari A D 2007 Phys. Rev. A 75 042707
[34] [35] Bylicki M, Pestka G, Karwowski J 2008 Phys. Rev. A 77 044501
[36] Guo J Y, Fang X Z, Jiao P, Wang J, Yao B M 2010 Phys. Rev. C 82 034318
[37] [38] Zhang S S, Meng J, Zhou S G, Hillhouse G C 2004 Phys. Rev. C 70 034308
[39] [40] [41] Sandulescu N, Geng L S, Toki H, Hillhouse G C 2003 Phys. Rev. C 68 054323
[42] [43] Lalazissis G A, Konig J, Ring P 2004 Phys. Rev. C 55 540
[44] Ginocchio J N, Leviatan A 2001 Phys. Rev. Lett. 87 072502
[45] [46] [47] Liang H Z, Zhao P W, Zhang Y, Meng J, Gia N V 2011 Phys. Rev. C 83 041301
[48] [49] Zhang S S, Zhang W, Zhou S G, Meng J 2007 Eur. Phys. J. A 32 43
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[1] Tanihata I, Hamagaki H, Hashimoto O, Shida Y 1985 Phys. Rev. Lett. 55 2676
[2] Vretenar D, Afanasjev A V, Lalazissis G A, Ring P 2005 Phys. Rep. 409 101
[3] [4] Meng J, Toki H, Zhou S G, Zhang S Q, Long W H, Geng L S 2006 Prog. Part. Nucl. Phys. 57 470
[5] [6] [7] Zhi Q J 2011 Acta Phys. Sin. 60 052101 (in Chinese) [支启军 2011 60 052101]
[8] Curutchet P, Vertse T, Liotta R J 1989 Phys. Rev. C 39 1020
[9] [10] Cao L G, Ma Z Y 2002 Phys. Rev. C 66 024311
[11] [12] [13] Brgers A, Wintgen D, Rost J M 1995 J. Phys. B: At. Mol. Opt. Phys. 28 3163
[14] Wigner E P, Eisenbud L 1947 Phys. Rev. 72 29
[15] [16] [17] Taylor J R 1972 Scattering Theory: The Quantum Theory on Nonrelativistic Collisions (New York: John Wiley and Son) p240
[18] Hazi A U, Taylor H S 1970 Phys. Rev. A 1 1109
[19] [20] [21] Kukulin V I, Krasnopl'sky V M, Horcek J 1989 Theory of Resonances: Principlesand Applications (Dordrecht: Kluwer Academic Publishers) p219
[22] [23] Ho Y K 1983 Phys. Rep. 99 1
[24] [25] eba P 1988 Lett. Math. Phys. 16 51
[26] Moiseyev N 1998 Phys. Rep. 302 211
[27] [28] Ivanov I A, Ho Y K 2004 Phys. Rev. A 69 023407
[29] [30] Pestka G, Bylicki M, Karwowski J 2006 J. Phys. B 39 2979
[31] [32] [33] Alhaidari A D 2007 Phys. Rev. A 75 042707
[34] [35] Bylicki M, Pestka G, Karwowski J 2008 Phys. Rev. A 77 044501
[36] Guo J Y, Fang X Z, Jiao P, Wang J, Yao B M 2010 Phys. Rev. C 82 034318
[37] [38] Zhang S S, Meng J, Zhou S G, Hillhouse G C 2004 Phys. Rev. C 70 034308
[39] [40] [41] Sandulescu N, Geng L S, Toki H, Hillhouse G C 2003 Phys. Rev. C 68 054323
[42] [43] Lalazissis G A, Konig J, Ring P 2004 Phys. Rev. C 55 540
[44] Ginocchio J N, Leviatan A 2001 Phys. Rev. Lett. 87 072502
[45] [46] [47] Liang H Z, Zhao P W, Zhang Y, Meng J, Gia N V 2011 Phys. Rev. C 83 041301
[48] [49] Zhang S S, Zhang W, Zhou S G, Meng J 2007 Eur. Phys. J. A 32 43
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