Magnetic-dipole-to-electric-quadrupole cross-susceptibilities for relativistic hydrogenlike atoms in some low-lying discrete energy eigenstates

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• 作者：Patrycja Stefańska ^{pstefanska@mif.pg.gda.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hydrogenlike atom ; Electromagnetic moments ; Quadrupole moment ; Magnetic field
• 刊名：Atomic Data and Nuclear Data Tables
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：113
• 期：Complete
• 页码：316-349
• 全文大小：516 K

文摘

In this paper we present tabulated data for magnetic-dipole-to-electric-quadrupole cross-susceptibilities (mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300110&_mathId=si1.gif&_user=111111111&_pii=S0092640X16300110&_rdoc=1&_issn=0092640X&md5=038d8ac5e35c6c7b0308b1bd6a610a6e" title="Click to view the MathML source">χ_M1→E2mathContainer hidden">mathCode"><math altimg="si1.gif" overflow="scroll">χM1→E2math>) for Dirac one-electron atoms with a pointlike, spinless and motionless nucleus of charge mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300110&_mathId=si326.gif&_user=111111111&_pii=S0092640X16300110&_rdoc=1&_issn=0092640X&md5=e26f23291228842087088201ef84048c" title="Click to view the MathML source">ZemathContainer hidden">mathCode"><math altimg="si326.gif" overflow="scroll">Zemath>. Numerical values of this susceptibility for the hydrogen atom (mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300110&_mathId=si327.gif&_user=111111111&_pii=S0092640X16300110&_rdoc=1&_issn=0092640X&md5=6baaf1bfce88246b25fe7a9e795d416d" title="Click to view the MathML source">Z=1mathContainer hidden">mathCode"><math altimg="si327.gif" overflow="scroll">Z=1math>) and for hydrogenic ions with mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300110&_mathId=si328.gif&_user=111111111&_pii=S0092640X16300110&_rdoc=1&_issn=0092640X&md5=30226b17c12246766462c6fd501938a4" title="Click to view the MathML source">2⩽Z⩽137mathContainer hidden">mathCode"><math altimg="si328.gif" overflow="scroll">2⩽Z⩽137math> are computed from the general analytical formula, recently derived by us (Stefanska, 2016), valid for an arbitrary discrete energy eigenstate. In this work we provide 30 tables with the values of mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300110&_mathId=si1.gif&_user=111111111&_pii=S0092640X16300110&_rdoc=1&_issn=0092640X&md5=038d8ac5e35c6c7b0308b1bd6a610a6e" title="Click to view the MathML source">χ_M1→E2mathContainer hidden">mathCode"><math altimg="si1.gif" overflow="scroll">χM1→E2math> for the ground state, and also for the first, the second and the third set of excited states (i.e.: 2s_1/2, 2p_1/2, 2p_3/2, 3s_1/2, 3p_1/2, 3p_3/2, 3d_3/2, 3d_5/2, 4s_1/2, 4p_1/2, 4p_3/2, 4d_3/2, 4d_5/2, 4f_5/2 and 4f_7/2) of the relativistic hydrogenlike atoms. The value of the inverse of the fine-structure constant used in the calculations is mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16300110&_mathId=si4.gif&_user=111111111&_pii=S0092640X16300110&_rdoc=1&_issn=0092640X&md5=709aaadd10bbf5e27edac9241baf8149" title="Click to view the MathML source">α⁻¹=137.035999139mathContainer hidden">mathCode"><math altimg="si4.gif" overflow="scroll">α−1=137.035999139math>, and was taken from CODATA 2014.