An effective quantum defect theory for the diamagnetic spectrum of barium Rydberg atom

doi:10.1088/1674-1056/22/1/013203

Abstract A theoretical calculation is carried out for the spectrum of barium Rydberg atom in an external magnetic field. Using an effective approach incorporating quantum defect into the centrifugal term in the Hamiltonian, we reexamine the reported spectrum of barium Rydberg atom at a magnetic field of 2.89 T [J. Phys. B 28 L537 (1995)]. Our calculation employs B-spline basis expansion and complex coordinate rotation techniques. For single photon absorption from the ground 6s² to 6snp Rydberg states, the spectrum is not influenced by quantum defects of channels ns and nd. The calculation is in agreement with the experimental observation until the energy reaches E=-60 cm^-1. Up beyond in energy, closer to the threshold, the calculated and experimental results do not agree with each other, possible reasons for their discrepancies are discussed. Our study affirms an energy range where the diamagnetic spectrum of barium atom can be explained thoroughly using a hydrogen model potential.

Keywords: diamagnetic spectrum quantum defect barium Rydberg atom

Received: 18 June 2012
Revised: 26 July 2012
Accepted manuscript online:

PACS:	32.60.+i	(Zeeman and Stark effects)
	32.30.Jc	(Visible and ultraviolet spectra)
	31.15.-p	(Calculations and mathematical techniques in atomic and molecular physics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11174329 and 91121005) and the National Basic Research Program of China (Grant Nos. 2012CB922101 and 2013CB922003).

Corresponding Authors: Liu Hong-Ping
E-mail: liuhongping@wipm.ac.cn

Cite this article:

Li Bo (李波), Liu Hong-Ping (刘红平) An effective quantum defect theory for the diamagnetic spectrum of barium Rydberg atom 2013 Chin. Phys. B 22 013203

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An effective quantum defect theory for the diamagnetic spectrum of barium Rydberg atom

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