The role of the Debye screening of circular Rydberg states of hydrogenic systems in collinear electric and magnetic fiel
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THE EUROPEAN PHYSICAL JOURNAL D
Regular Article
The role of the Debye screening of circular Rydberg states of hydrogenic systems in collinear electric and magnetic fields of arbitrary strengths Nikolay Kryukov1 and Eugene Oks2,a 1
2
Universidad Nacional Aut´ onoma de M´exico, Av. Universidad 3000, col. Ciudad Universitaria, del. Coyoac´ an, M´exico, DF 04510, M´exico Physics Department, 380 Duncan Drive, Auburn University, Auburn, AL 36849, USA Received 8 March 2020 / Received in final form 21 April 2020 Published online 18 June 2020 c EDP Sciences / Societ`
a Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2020 Abstract. We consider classical circular Rydberg states of a hydrogenic atom/ion under collinear electric and magnetic fields of arbitrary strengths, the entire system being immersed into a plasma with the Debye screening. In this way we add a “new dimension” to the results of the previous paper of one of us, where the screening was not taken into account. We show in detail how the screening decreases the value of the critical electric field required for the ionization at different values of the magnetic field. Our results should have a fundamental importance because hydrogenic atoms/ions under external fields remain a test-bench for atomic physics. Also our results could motivate experiments on the magnetic control of the “continuum lowering” in cold Rydberg plasmas, this being of practical importance.
1 Introduction In paper [1] there was a study of a hydrogen-like system with the stationary nucleus of charge Z at the origin subjected to collinear electric (F) and magnetic (B) fields, the z-axis being chosen along the direction of F (Fz > 0). The Circular Rydberg States (CRS) of the electron were considered: the orbit, whose plane is perpendicular to Oz, has radius ρ and its center is on Oz at some point z. In paper [1] the author derived analytical expressions for the energy E of classical CRS of hydrogenlike systems in collinear electric (F) and magnetic (B) fields of arbitrary strengths. He also offered formulas for the dependence of the classical ionization threshold Fc (B) and of the energy at this threshold Ec (B) valid for the magnetic field B of an arbitrary strength. In addition, for two important particular cases – classical CRS in a magnetic field only and classical CRS in an electric field only – some new results were presented in paper [1] as well1 .
a 1
e-mail: [email protected]
There have been lots of theoretical and experimental studies of CRS (see, e.g., papers [2–5] and references therein) because: 1) their properties facilitated works on inhibited spontaneous emission and cold Rydberg gases (see, e.g., papers [6–8]; 2) classical CRS are counterparts of quantal coherent states; 3) in the quantal method using the expansion in terms of the inverse value of the principal quantum number, classical CRS are the primary term (see, e.g. paper [8] and references therein).
In the present study, the same configuration as in paper [1] is considered to be s
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