STANDARD MODEL;
PERTURBATIVE ANALYSIS;
NON-COMMUTATIVITY;
LAMB-SHIFT;
SPECTROSCOPY;
D O I:
10.1140/epjc/s10052-014-3235-2
中图分类号:
O412 [相对论、场论];
O572.2 [粒子物理学];
学科分类号:
摘要:
Comparing electronic hydrogen with muonic hydrogen shows that the discrepancy in measurement of the Lamb shift in the both systems are relatively of order of (m(mu)/m(e))(4-5). We explore the spectrum of hydrogen atom in non-commutative QED to compare the non-commutative effects on the both bound states. We showthat in the Lorentzviolating non-commutative QED the ratio of NC-corrections is (m(mu)/m(e))(3) while in the Lorentz-conserving NCQED is (m(mu)/m(e))(5). An uncertainty about 1 Hz << 3 kHz in the Lamb shift of hydrogen atom leads to an NC correction of about 10 MHz in the Lorentz-violating non-commutative QED and about 400 GHz in the Lorentz-conserving non-commutative QED.