Static electric and magnetic multipole susceptibilities for Dirac one-electron atoms in the ground state

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• 作者：Radosław Szmytkowski ; ^{radek@mif.pg.gda.pl" class="auth_mail" title="E-mail the corresponding author} ; Grzegorz Łukasik
• 关键词：Multipole polarizabilities ; Multipole magnetizabilities ; Multipole cross-susceptibilities ; Multipole moments ; Hydrogen atom ; Hydrogen-like ions
• 刊名：Atomic Data and Nuclear Data Tables
• 出版年：2016
• 出版时间：September-November 2016
• 年：2016
• 卷：111-112
• 期：Complete
• 页码：41-66
• 全文大小：467 K

文摘

We present tabulated data for several families of static electric and magnetic multipole susceptibilities for hydrogenic atoms with nuclear charge numbers from the range mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16000243&_mathId=si3110.gif&_user=111111111&_pii=S0092640X16000243&_rdoc=1&_issn=0092640X&md5=59dc102b83bb6e106a9d3ac6ef3fa022" title="Click to view the MathML source">1⩽Z⩽137mathContainer hidden">mathCode"><math altimg="si3110.gif" overflow="scroll">1⩽Z⩽137math>. Atomic nuclei are assumed to be point-like and spinless. 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altimg="si3113.gif" overflow="scroll">1⩽L⩽4math>, the magnetic-to-electric cross-susceptibilities mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16000243&_mathId=si3118.gif&_user=111111111&_pii=S0092640X16000243&_rdoc=1&_issn=0092640X&md5=489e403d68ef858b1326b397e4b6b2ee">mathContainer hidden">mathCode"><math altimg="si3118.gif" overflow="scroll">χmathvariant="normal">ML→mathvariant="normal">E(L−1)math> with mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16000243&_mathId=si3115.gif&_user=111111111&_pii=S0092640X16000243&_rdoc=1&_issn=0092640X&md5=3874b3efd287ceb092471209d0b52673" title="Click to view the MathML source">2⩽L⩽5mathContainer hidden">mathCode"><math altimg="si3115.gif" overflow="scroll">2⩽L⩽5math> and mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16000243&_mathId=si3120.gif&_user=111111111&_pii=S0092640X16000243&_rdoc=1&_issn=0092640X&md5=91d8952f23dc488392c8500e92f26277">mathContainer hidden">mathCode"><math altimg="si3120.gif" overflow="scroll">χmathvariant="normal">ML→mathvariant="normal">E(L+1)math> with mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16000243&_mathId=si3113.gif&_user=111111111&_pii=S0092640X16000243&_rdoc=1&_issn=0092640X&md5=7a10bfa3dc8724d3db26a5bee9acc49d" title="Click to view the MathML source">1⩽L⩽4mathContainer hidden">mathCode"><math altimg="si3113.gif" overflow="scroll">1⩽L⩽4math> (it holds that mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16000243&_mathId=si3122.gif&_user=111111111&_pii=S0092640X16000243&_rdoc=1&_issn=0092640X&md5=cf88af6bdde45f73a20487163a571da2">mathContainer hidden">mathCode"><math altimg="si3122.gif" overflow="scroll">χmathvariant="normal">ML→mathvariant="normal">E(L∓1)=αmathvariant="normal">E(L∓1)→mathvariant="normal">MLmath>), and the electric-to-toroidal-magnetic cross-susceptibilities mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16000243&_mathId=si3123.gif&_user=111111111&_pii=S0092640X16000243&_rdoc=1&_issn=0092640X&md5=d3cb7cdaeebf9fa596824c47ffffeaa3">mathContainer hidden">mathCode"><math altimg="si3123.gif" overflow="scroll">αmathvariant="normal">EL→mathvariant="normal">TLmath> with mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16000243&_mathId=si3113.gif&_user=111111111&_pii=S0092640X16000243&_rdoc=1&_issn=0092640X&md5=7a10bfa3dc8724d3db26a5bee9acc49d" title="Click to view the MathML source">1⩽L⩽4mathContainer hidden">mathCode"><math altimg="si3113.gif" overflow="scroll">1⩽L⩽4math>. Numerical values are computed from general exact analytical formulas, derived by us elsewhere within the framework of the Dirac relativistic quantum mechanics, and involving generalized hypergeometric functions mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0092640X16000243&_mathId=si3125.gif&_user=111111111&_pii=S0092640X16000243&_rdoc=1&_issn=0092640X&md5=0bedc290f9c8d69988e476ad4c1d938e" title="Click to view the MathML source">₃F₂mathContainer hidden">mathCode"><math altimg="si3125.gif" overflow="scroll">3F2math> of the unit argument.