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

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

中国物理B ›› 2013, Vol. 22 ›› Issue (1): 13203-013203.doi: 10.1088/1674-1056/22/1/013203

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

李波^a, 刘红平^b

a Department of Physics, Tsinghua University, Beijing 100084, China;
b State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

收稿日期:2012-06-18 修回日期:2012-07-26 出版日期:2012-12-01 发布日期:2012-12-01
基金资助:
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).

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

Li Bo (李波)^a, Liu Hong-Ping (刘红平)^b

a Department of Physics, Tsinghua University, Beijing 100084, China;
b State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

Received:2012-06-18 Revised:2012-07-26 Online:2012-12-01 Published:2012-12-01
Contact: Liu Hong-Ping E-mail:liuhongping@wipm.ac.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: diamagnetic spectrum, quantum defect, barium Rydberg atom

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.

Key words: diamagnetic spectrum, quantum defect, barium Rydberg atom

中图分类号: (Zeeman and Stark effects)

32.60.+i

32.30.Jc (Visible and ultraviolet spectra) 31.15.-p (Calculations and mathematical techniques in atomic and molecular physics)

李波, 刘红平. An effective quantum defect theory for the diamagnetic spectrum of barium Rydberg atom[J]. 中国物理B, 2013, 22(1): 13203-013203.

Li Bo (李波), Liu Hong-Ping (刘红平). An effective quantum defect theory for the diamagnetic spectrum of barium Rydberg atom[J]. Chin. Phys. B, 2013, 22(1): 13203-013203.

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

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

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