SMALL EFFECTS IN THEORY OF MUONIC ATOMS .I. EXACT CALCULATION OF EIGENVALUES FOR ATOMS WITH DEFORMED NUCLEI

被引:14
作者
MCKINLEY, JM
机构
[1] Oakland University, Rochester
来源
PHYSICAL REVIEW | 1969年 / 183卷 / 01期
关键词
D O I
10.1103/PhysRev.183.106
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Exact numerical solutions of the coupled Dirac equations for a muon moving in the electrostatic field of a permanently deformed nucleus were obtained and compared with the solutions obtained by the perturbation technique previously employed. Expressions are given for the boundary and continuity conditions upon the exact coupled solutions. For U238 as represented by a reasonable charge distribution, the exact energy eigenvalues were shifted by the following amounts from the perturbation values: 1s binding increased by 7.46 keV, 2p increased by various amounts between 1.94 and 6.91 keV, and 3d increased by less than 1 keV. The effect upon 2p eigenvalues cannot be duplicated by the perturbation technique by merely changing the parameters of the charge distribution. © 1969 The American Physical Society.
引用
收藏
页码:106 / &
相关论文
共 9 条
[1]   MYONENATOME UND LADUNGSVERTEILUNG DEFORMIERTER KERNE [J].
ACKER, HL ;
MARSHALL, H .
PHYSICS LETTERS, 1965, 19 (02) :127-&
[2]   STUDY OF CHARGE DISTRIBUTION IN DEFORMED NUCLEI BY MUONIC HYPERFINE STRUCTURE [J].
ACKER, HL .
NUCLEAR PHYSICS, 1966, 87 (02) :153-&
[3]  
BOHR A, 1953, KGL DANSKE VIDEN MFM, V27
[4]  
COTE RA, TO BE PUBLISHED
[5]   MEASUREMENT AND ANALYSIS OF MUONIC X-RAY SPECTRA IN DEFORMED NUCLEI [J].
DEWIT, SA ;
BACKENSTOSS, G ;
DAUM, C ;
SENS, JC ;
ACKER, HL .
NUCLEAR PHYSICS, 1967, 87 (07) :657-+
[6]   NUCLEAR FINE STRUCTURE IN THE MU-MESONIC ATOM [J].
JACOBSOHN, BA .
PHYSICAL REVIEW, 1954, 96 (06) :1637-1643
[7]   EXPERIMENTAL OBSERVATIONS OF ELECTRIC QUADRUPOLE EFFECTS IN MUONIC SPECTRA OF 235U 181TA AND 239PU [J].
RABOY, S ;
TRAIL, CC ;
BJORKLAND, JA ;
EHRLICH, RD ;
POWERS, RJ ;
TELEGDI, VL .
NUCLEAR PHYSICS, 1965, 73 (02) :353-+
[8]  
WENESER J, PRIVATE COMMUNICATIO
[9]  
WILETS L, 1954, KGL DANSKE VIDEN MFM, V29