Modification of Coulomb law and energy levels of the hydrogen atom in a superstrong magnetic field

Machet, B.; Vysotsky, M. I.

doi:10.1103/physrevd.83.025022

Cited by 46 publications

(95 citation statements)

References 19 publications

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“…This effect arises in higher-order perturbation theory and becomes important at field strengths of order B ∼ 3πm 2 /e 3 [40]. This is 3π/α times stronger than the critical Schwinger field.…”

Section: Introductionmentioning

confidence: 98%

Quarkonium dissociation in quark-gluon plasma via ionization in a magnetic field

Marasinghe

Tuchin

2011

Phys. Rev. C

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We study the impact of a magnetic field, generated in collisions of relativistic heavy ions, on the decay probability of a quarkonium produced in the central rapidity region. The quark and antiquark components are subject to mutually orthogonal electric and magnetic fields in the quarkonium comoving frame. In the presence of an electric field, the quarkonium has a finite dissociation probability.We use theWKB approximation to derive the dissociation probability. We find that the quarkonium dissociation energy, i.e., the binding energy at which the dissociation probability is of order unity, increases with the magnetic field strength. It also increases with quarkonium momentum in the laboratory frame owing to the Lorentz boost of the electric field in the comoving frame. We argue that J/ψ's produced in heavy-ion collisions at the Large Hadron Collider with P⊥ > 9 GeV would dissociate even in vacuum. In plasma, the J/ψ dissociation in a magnetic field is much stronger because of the decrease of its binding energy with temperature.We discuss phenomenological implications of our results. Disciplines Astrophysics and Astronomy | Physics CommentsThis article is from Physical Review C 84 (2011) We study the impact of a magnetic field, generated in collisions of relativistic heavy ions, on the decay probability of a quarkonium produced in the central rapidity region. The quark and antiquark components are subject to mutually orthogonal electric and magnetic fields in the quarkonium comoving frame. In the presence of an electric field, the quarkonium has a finite dissociation probability. We use the WKB approximation to derive the dissociation probability. We find that the quarkonium dissociation energy, i.e., the binding energy at which the dissociation probability is of order unity, increases with the magnetic field strength. It also increases with quarkonium momentum in the laboratory frame owing to the Lorentz boost of the electric field in the comoving frame. We argue that J/ψ's produced in heavy-ion collisions at the Large Hadron Collider with P ⊥ > 9 GeV would dissociate even in vacuum. In plasma, the J/ψ dissociation in a magnetic field is much stronger because of the decrease of its binding energy with temperature. We discuss phenomenological implications of our results.

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Section: Introductionmentioning

confidence: 98%

Quarkonium dissociation in quark-gluon plasma via ionization in a magnetic field

Marasinghe

Tuchin

2011

Phys. Rev. C

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“…With the help of this formula the potential for 2 z = 0 with arbitrary ρ and for ρ = 0 with arbitrary z was calculated analytically [11,12]. It was found [7,8,12] that for z 1/m the equipotential lines are ellipses, though the potential in the mid-range distances, r = ρ 2 + z 2 1/m, was still unknown.…”

Section: Epj Web Of Conferences 182mentioning

confidence: 99%

“…It is rather simple and allows to perform analytical calculations, but at the same time it provides a very good accuracy (see [11] for details). Using formula (5) the analytical expressions for Φ (0, z) and Φ (ρ, 0) were found [11,12] (see also asymptotics in [7,8]):…”

Section: Modification Of the Coulomb Potential By External Superstronmentioning

confidence: 99%

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Critical nucleus charge in a superstrong magnetic field

et al. 2018

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Abstract. Due to strong enhancement of loop effects in a superstrong magnetic field (B m 2 /e 3 ) the Coulomb potential becomes screened. This phenomenon dramatically changes the dependence of the electron energy levels on magnetic field. In particular, the freezing of energy levels occurs so the ground energy level of light ions can never reach the lower continuum (become critical), no matter how strong the field is. Therefore, the magnetic field affects the critical nucleus charge Z cr in two ways: i. it makes the electron movement essentially one-dimensional diminishing the value of Z cr ; ii. it makes the potential weaker increasing the value of critical charge. The phenomenon of critical charge itself is also discussed.

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“…In those works the varying electromagnetic fields are treated as small perturbations of the background, and only the effects linear in their amplitudes are taken into account, such as birefringence, photon capture by a magnetic field [12][13][14][15], modification of the Coulomb law [16][17][18][19][20], magnetic shift of the critical charge value [21,22],-and even the positronium collapse [23,24] may be placed among the effects of this class. The arena of applicability of these results is mostly the study of pulsars and magnetars, possessing sufficiently large magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

Magnetic response to applied electrostatic field in external magnetic field

2014

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We show, within QED and other possible nonlinear theories, that a static charge localized in a finite domain of space becomes a magnetic dipole, if it is placed in an external (constant and homogeneous) magnetic field in the vacuum. The magnetic moment is quadratic in the charge, depends on its size and is parallel to the external field, provided the charge distribution is at least cylindrically symmetric. This magnetoelectric effect is a nonlinear response of the magnetized vacuum to an applied electrostatic field. Referring to the simple example of a spherically symmetric applied field, the nonlinearly induced current and its magnetic field are found explicitly throughout the space; the pattern of the lines of force is depicted, both inside and outside the charge, which resembles that of a standard solenoid of classical magnetostatics.

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Modification of Coulomb law and energy levels of the hydrogen atom in a superstrong magnetic field

Abstract: The screening of a Coulomb potential by superstrong magnetic field is studied. Its influence on the spectrum of a hydrogen atom is determined.

Cited by 46 publications

References 19 publications

Quarkonium dissociation in quark-gluon plasma via ionization in a magnetic field

Quarkonium dissociation in quark-gluon plasma via ionization in a magnetic field

Critical nucleus charge in a superstrong magnetic field

Magnetic response to applied electrostatic field in external magnetic field

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