The Dirac-Yukawa problem in view of pseudospin symmetry

被引:37
作者
Aydogdu, Oktay [1 ]
Sever, Ramazan [2 ]
机构
[1] Mersin Univ, Dept Phys, TR-33343 Mersin, Turkey
[2] Middle E Tech Univ, Dept Phys, TR-06531 Ankara, Turkey
关键词
ASYMPTOTIC ITERATION METHOD; ORBIT-COUPLING TERM; DEFORMED-NUCLEI; EIGENVALUE PROBLEMS; NILSSON MODEL; SPIN SYMMETRY; WOODS-SAXON; STATES; POTENTIALS; EQUATIONS;
D O I
10.1088/0031-8949/84/02/025005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An approximate analytical solution of the Dirac equation for the Yukawa potential under the pseudospin symmetry condition is obtained using the asymptotic iteration method. We discover the energy eigenvalue equation and some of the numerical results are listed. Wave functions are obtained in terms of hypergeometric functions. Extra degeneracies are removed by adding a new term, A/r(2), to the Yukawa potential. The effects of tensor interaction on the two states in the pseudospin doublet are also investigated.
引用
收藏
页数:7
相关论文
共 49 条
[1]   Dirac equation with scalar and vector quadratic potentials and Coulomb-like tensor potential [J].
Akcay, H. .
PHYSICS LETTERS A, 2009, 373 (06) :616-620
[2]  
AKCAY H, 2009, INT J MOD PHYS C, V20, P930
[3]   Tensor coupling and pseudospin symmetry in nuclei [J].
Alberto, P ;
Lisboa, R ;
Malheiro, M ;
de Castro, AS .
PHYSICAL REVIEW C, 2005, 71 (03)
[4]   PSEUDO LS COUPLING AND PSEUDO SU3 COUPLING SCHEMES [J].
ARIMA, A ;
HARVEY, M ;
SHIMIZU, K .
PHYSICS LETTERS B, 1969, B 30 (08) :517-&
[5]   Pseudospin and spin symmetry in the Dirac equation with Woods-Saxon potential and tensor potential [J].
Aydogdu, O. ;
Sever, R. .
EUROPEAN PHYSICAL JOURNAL A, 2010, 43 (01) :73-81
[6]   PSEUDOSPIN AND SPIN SYMMETRY FOR THE RING-SHAPED GENERALIZED HULTHEN POTENTIAL [J].
Aydogdu, Oktay ;
Sever, Ramazan .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2010, 25 (21) :4067-4079
[7]   Exact Pseudospin Symmetric Solution of the Dirac Equation for Pseudoharmonic Potential in the Presence of Tensor Potential [J].
Aydogdu, Oktay ;
Sever, Ramazan .
FEW-BODY SYSTEMS, 2010, 47 (03) :193-200
[8]   Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit [J].
Aydogdu, Oktay ;
Sever, Ramazan .
ANNALS OF PHYSICS, 2010, 325 (02) :373-383
[9]   Solution of the Dirac equation for pseudoharmonic potential by using the Nikiforov-Uvarov method [J].
Aydogdu, Oktay ;
Sever, Ramazan .
PHYSICA SCRIPTA, 2009, 80 (01)
[10]   The pseudospin symmetric solution of the Morse potential for any κ state [J].
Bayrak, O. ;
Boztosun, I. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (36) :11119-11127