Light by light scattering contribution to Lamb shift in hydrogen

Michael I. Eides; Howard Grotch; Peter Pebler

doi:10.1016/0370-2693(94)91214-9

Light by light scattering contribution to Lamb shift in hydrogen

Michael I. Eides
, Howard Grotch
, Peter Pebler

Producción científica: Article › revisión exhaustiva

16 Citas (Scopus)

Resumen

A radiative correction to the Lamb shift of order α²(Zα)⁵m induced by the light by light scattering insertion in external photons is obtained. This new contribution turns out to be equal to -0.122(2)α²(Zα)⁵/(πn³)(m_r/m)³m. Combining this contribution with our previous results we obtain the complete correction of order α²(Zα)⁵m induced by all diagrams with closed electron loops. This correction is 37.3(1) kHz and 4.67(1) kHz for the 1S- and 2S-states in hydrogen, respectively.

Idioma original	English
Páginas (desde-hasta)	197-206
Número de páginas	10
Publicación	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volumen	326
N.º	1-2
DOI	https://doi.org/10.1016/0370-2693(94)91214-9
Estado	Published - abr 28 1994

Nota bibliográfica

Funding Information:
We are deeply grateful to Dr. K. Pachucki for informing us about his results prior to publication. It is a pleasure for us to acknowledge the help of Dr. Shoudan Liang with numerical calculations. This work was partially fulfilled during the visit one of the authors (M.E.) to the Penn State University. He is deeply grateful to the Physics Department of the Penn State University for kind hospitality. This research was supported by the National Science Foundation under grant #NSF-PHY-9120102. P.P received support from NSF through funds provided by the site REU program at Penn State. Work of M.E. was also partially supported by the Russian Foundation for Fundamental Research under grant #93-02-3853.

Financiación

We are deeply grateful to Dr. K. Pachucki for informing us about his results prior to publication. It is a pleasure for us to acknowledge the help of Dr. Shoudan Liang with numerical calculations. This work was partially fulfilled during the visit one of the authors (M.E.) to the Penn State University. He is deeply grateful to the Physics Department of the Penn State University for kind hospitality. This research was supported by the National Science Foundation under grant #NSF-PHY-9120102. P.P received support from NSF through funds provided by the site REU program at Penn State. Work of M.E. was also partially supported by the Russian Foundation for Fundamental Research under grant #93-02-3853.

Financiadores	Número del financiador
National Science Foundation (NSF)	#NSF-PHY-9120102
The Pennsylvania State University
Russian Foundation for Fundamental Investigations	93-02-3853

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(94)91214-9

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@article{e5a567f4125040eea2866ef3ff8eba86,

title = "Light by light scattering contribution to Lamb shift in hydrogen",

abstract = "A radiative correction to the Lamb shift of order α2(Zα)5m induced by the light by light scattering insertion in external photons is obtained. This new contribution turns out to be equal to -0.122(2)α2(Zα)5/(πn3)(mr/m)3m. Combining this contribution with our previous results we obtain the complete correction of order α2(Zα)5m induced by all diagrams with closed electron loops. This correction is 37.3(1) kHz and 4.67(1) kHz for the 1S- and 2S-states in hydrogen, respectively.",

author = "Eides, \{Michael I.\} and Howard Grotch and Peter Pebler",

note = "Funding Information: We are deeply grateful to Dr. K. Pachucki for informing us about his results prior to publication. It is a pleasure for us to acknowledge the help of Dr. Shoudan Liang with numerical calculations. This work was partially fulfilled during the visit one of the authors (M.E.) to the Penn State University. He is deeply grateful to the Physics Department of the Penn State University for kind hospitality. This research was supported by the National Science Foundation under grant \#NSF-PHY-9120102. P.P received support from NSF through funds provided by the site REU program at Penn State. Work of M.E. was also partially supported by the Russian Foundation for Fundamental Research under grant \#93-02-3853.",

year = "1994",

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doi = "10.1016/0370-2693(94)91214-9",

language = "English",

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TY - JOUR

T1 - Light by light scattering contribution to Lamb shift in hydrogen

AU - Eides, Michael I.

AU - Grotch, Howard

AU - Pebler, Peter

N1 - Funding Information: We are deeply grateful to Dr. K. Pachucki for informing us about his results prior to publication. It is a pleasure for us to acknowledge the help of Dr. Shoudan Liang with numerical calculations. This work was partially fulfilled during the visit one of the authors (M.E.) to the Penn State University. He is deeply grateful to the Physics Department of the Penn State University for kind hospitality. This research was supported by the National Science Foundation under grant #NSF-PHY-9120102. P.P received support from NSF through funds provided by the site REU program at Penn State. Work of M.E. was also partially supported by the Russian Foundation for Fundamental Research under grant #93-02-3853.

PY - 1994/4/28

Y1 - 1994/4/28

N2 - A radiative correction to the Lamb shift of order α2(Zα)5m induced by the light by light scattering insertion in external photons is obtained. This new contribution turns out to be equal to -0.122(2)α2(Zα)5/(πn3)(mr/m)3m. Combining this contribution with our previous results we obtain the complete correction of order α2(Zα)5m induced by all diagrams with closed electron loops. This correction is 37.3(1) kHz and 4.67(1) kHz for the 1S- and 2S-states in hydrogen, respectively.

AB - A radiative correction to the Lamb shift of order α2(Zα)5m induced by the light by light scattering insertion in external photons is obtained. This new contribution turns out to be equal to -0.122(2)α2(Zα)5/(πn3)(mr/m)3m. Combining this contribution with our previous results we obtain the complete correction of order α2(Zα)5m induced by all diagrams with closed electron loops. This correction is 37.3(1) kHz and 4.67(1) kHz for the 1S- and 2S-states in hydrogen, respectively.

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U2 - 10.1016/0370-2693(94)91214-9

DO - 10.1016/0370-2693(94)91214-9

M3 - Article

AN - SCOPUS:0007269809

SN - 0370-2693

VL - 326

SP - 197

EP - 206

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Light by light scattering contribution to Lamb shift in hydrogen

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