A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential

  • By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter (SS) equation with the Woods-Saxon interaction potential for an arbitrary l-state. The analytical semi-relativistic bound-state energy eigenvalues and the corresponding wave functions are calculated. Two special cases from our solution are studied: the approximated Schrödinger-Woods-Saxon problem for an arbitrary l-state and the exact s-wave (l=0).
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  • [1] Bethe H, Salpeter E. Phys. Rev., 1951, 84: 1232[2] Nambu Y. Prog. Theor. Phys., 1950, 5: 614[3] Wick G C. Phys. Rev., 1954, 96: 1124[4] Nakanishi N. Prog. Theor. Phys. Suppl., 1969, 43: 1[5] Roberts C D, Williams A G. Prog. Part. Nucl. Phys., 1994, 33: 477[6] Maris P, Roberts C D. Phys. Rev. C, 1997, 56: 3369[7] Roberts C D, Schmidt S M. Prog. Part. Nucl. Phys., 2000, 45: 1[8] Maris P, Roberts C D. Int. J. Mod. Phys. E, 2003, 12: 297[9] LI Z F, Lucha W, Schberl F F. J. Phys. G: Nucl. Part. Phys., 2008, 35: 115002[10] CHANG L, Roberts C D. Phys. Rev. Lett., 2009, 103: 081601[11] Lucha W. Mod. Phys. Lett. A, 1990, 5: 2473[12] Lucha W, Schberl F F, Gromes D. Phys. Rep., 1991, 200: 127[13] Lucha W, Schberl F F. Phys. Rev. A, 1999, 60: 5091[14] Lucha W, Schberl F F. Phys. Rev. A, 1996, 54: 3790[15] Lucha W, Schberl F F. Int. J. Mod. Phys. A, 1999, 14: 2309[16] Lucha W, Schberl F F. Fizika B, 1999, 8: 193[17] Lucha W, Schberl F F. Int. J. Mod. Phys. A, 2000, 15: 3221[18] Hall R, Lucha W, Schberl F F. J. Phys. A: Math. Gen., 2001, 34: 5059[19] Hall R, Lucha W, Schberl F F. Int. J. Mod. Phys. A, 2002, 17: 1931[20] Lucha W, Schberl F F. Int. J. Mod. Phys. A, 2002, 17: 2233[21] Hall R, Lucha W, Schberl F F. Int. J. Mod. Phys. A, 2003, 18: 2657[22] Hall R, Lucha W. J. Phys. A: Math. Gen., 2005, 38: 7997[23] Hall R, Lucha W. Int. J. Mod. Phys. A, 2007, 22: 1899[24] Hall R, Lucha W. J. Phys. A: Math. Theor., 2008, 41: 355202[25] Hall R, Lucha W. Phys. Lett. A, 2010, 374: 1980[26] Ikhdair S M, Sever R. Z. Phys. C, 1992, 56: 155[27] Ikhdair S M, Sever R. Z. Phys. C, 1993, 58: 153[28] Jaczko G, Durand L. Phys. Rev. D, 1998, 58: 114017[29] Ikhdair S M, Sever R. Int. J. Mod. Phys. A, 2004, 19: 1771; Ikhdair S M, Sever R. Int. J. Mod. Phys. A, 2005, 20: 6509; Ikhdair S M, Sever R. Int. J. Mod. Phys. E, 2008, 17: 669; Ikhdair S M, Sever R. Int. J. Mod. Phys. E, 2008, 17: 1107[30] Tokunaga Y. 77th Annual Meeting of the South Eastern Section of the APS (20-23 October 2010) BAPS.2010.SES.CD.3[31] Woods R D, Saxon D S. Phys. Rev., 1954, 95: 577[32] Williams W S C. Nuclear and Particle Physics, Clarendon: Oxford, 1996[33] Garcia F, Garrote E, Yoneama M L et al. Eur. Phys. J. A, 1999, 6: 49[34] Goldberg V Z, Chubarian G G, Tabacaru G et al. Phys. Rev. C, 2004, 69: 031302(R)[35] Syntfeld A, March H, Plciennik W et al. Eur. Phys. J. A, 2004, 20: 359[36] Diaz-Torres A, Scheid W. Nucl. Phys. A, 2005, 757: 373[37] GUO J Y, SHENG Q. Phys. Lett. A, 2005, 338: 90[38] Badalov V H, Ahmadov H I, Ahmadov A I. Int. J. Mod. Phys. E, 2009, 18: 631[39] Badalov V H, Ahmadov H I, Badalov S V. Int. J. Mod. Phys. E, 2010, 18: 1463[40] Chepurnov V A, Nemirovsky P E. Nucl. Phys., 1963, 49: 90[41] Chasman R R, Wilkins B D. Phys. Lett. B, 1984, 149: 433[42] Dudek J, Wemer T. J. Phys. G: Nuclear Phys., 1978, 4: 1543[43] Nikiforov A F, Uvarov V B. Special Functions of Mathematical Physics. Birkhausr: Berlin, 1988[44] Ikhdair S M. Int. J. Mod. Phys. C, 2009, 20: 1563[45] Greene R L, Aldrich C. Phys. Rev. A, 1976, 14: 2363[46] Aydo#287;du O, Sever R. Eur. Phys. J. A, 2010, 43: 73
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S. M. Ikhdair and A. A. Rajabi. A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential[J]. Chinese Physics C, 2013, 37(6): 063101. doi: 10.1088/1674-1137/37/6/063101
S. M. Ikhdair and A. A. Rajabi. A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential[J]. Chinese Physics C, 2013, 37(6): 063101.  doi: 10.1088/1674-1137/37/6/063101 shu
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Received: 2012-07-09
Revised: 2012-08-16
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A semi-relativistic treatment of spinless particles subjectto the nuclear Woods-Saxon potential

Abstract: By applying an appropriate Pekeris approximation to deal with the centrifugal term, we present an approximate systematic solution of the two-body spinless Salpeter (SS) equation with the Woods-Saxon interaction potential for an arbitrary l-state. The analytical semi-relativistic bound-state energy eigenvalues and the corresponding wave functions are calculated. Two special cases from our solution are studied: the approximated Schrödinger-Woods-Saxon problem for an arbitrary l-state and the exact s-wave (l=0).

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