Observation of correlated narrow-peak structures in positron and electron spectra from superheavy collision systems

Cowan, T. E.; Backe, H.; Bethge, Κ.; Bokemeyer, H.; Folger, H.; Greenberg, Jay; Sakaguchi, Kaori; Schwalm, D.; Schweppe, John E.; Stiebing, K. E.; Vincent, P.

doi:10.1103/physrevlett.56.444

Cited by 346 publications

(97 citation statements)

References 9 publications

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“…Recently, there has also been a computation which claims the existence of BICs in QED in three dimensions [230]. These authors have also speculated that the BIC energies they compute in e + e − scattering in QED are in fact in reasonable agreement with unusual peaks observed in recent heavy ion experiments [231].…”

Section: Bound States In the Continuumsupporting

confidence: 64%

Parasupersymmetry in quantum mechanics

Khare

1993

Journal of Mathematical Physics

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In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a much deeper understanding of why certain potentials are analytically solvable and an array of powerful new approximation methods for handling potentials which are not exactly solvable. In this report, we review the theoretical formulation of supersymmetric quantum mechanics and discuss many applications. Exactly solvable potentials can be understood in terms of a few basic ideas which include supersymmetric partner potentials, shape invariance and operator transformations. Familiar solvable potentials all 1 have the property of shape invariance. We describe new exactly solvable shape invariant potentials which include the recently discovered self-similar potentials as a special case. The connection between inverse scattering, isospectral potentials and supersymmetric quantum mechanics is discussed and multi-soliton solutions of the KdV equation are constructed. Approximation methods are also discussed within the framework of supersymmetric quantum mechanics and in particular it is shown that a supersymmetry inspired WKB approximation is exact for a class of shape invariant potentials. Supersymmetry ideas give particularly nice results for the tunneling rate in a double well potential and for improving large N expansions. We also discuss the problem of a charged Dirac particle in an external magnetic field and other potentials in terms of supersymmetric quantum mechanics. Finally, we discuss structures more general than supersymmetric quantum mechanics such as parasupersymmetric quantum mechanics in which there is a symmetry between a boson and a para-fermion of order p.

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Section: Bound States In the Continuumsupporting

confidence: 64%

Parasupersymmetry in quantum mechanics

Khare

1993

Journal of Mathematical Physics

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“…However for special cases one has an invertible function. Let us for simplicity n o w c hoose f = r; z = r 2 =2 : (230) As discussed earlier, the energy eigenvalues of the three dimensional harmonic oscillator are give b y E n = 4 n ; (231) so that the condition we w ant to satify is V 4n + n f 2 = G = D r 2 + Er 2 +F:…”

Section: Shape Invariance and 3-body Solvable Potentialsmentioning

confidence: 99%

Supersymmetry and quantum mechanics

1995

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In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a m uch deeper understanding of why certain potentials are analytically solvable and an array o f p o w erful new approximation methods for handling potentials which are not exactly solvable. In this report, we review the theoretical formulation of supersymmetric quantum mechanics and discuss many applications. Exactly solvable potentials can be understood in terms of a few basic ideas which include supersymmetric partner potentials, shape invariance and operator transformations. Familiar solvable potentials all 1 have the property of shape invariance. We describe new exactly solvable shape invariant potentials which include the recently discovered self-similar potentials as a special case. The connection between inverse scattering, isospectral potentials and supersymmetric quantum mechanics is discussed and multi-soliton solutions of the KdV equation are constructed. Approximation methods are also discussed within the framework of supersymmetric quantum mechanics and in particular it is shown that a supersymmetry inspired WKB approximation is exact for a class of shape invariant potentials. Supersymmetry ideas give particularly nice results for the tunneling rate in a double well potential and for improving large N expansions. We also discuss the problem of a charged Dirac particle in an external magnetic eld and other potentials in terms of supersymmetric quantum mechanics. Finally, w e discuss structures more general than supersymmetric quantum mechanics such as parasupersymmetric quantum mechanics in which there is a symmetry between a boson and a para-fermion of order p.

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“…First attempts were made to interpret these lines in the context of the e + e − -decay of a previously unknown neutral particle with a mass around 1.8 MeV/c 2 [7]. But soon this hypothesis was definitively ruled out by subsequent Bhabha-scattering experiments [11].…”

Section: Introductionmentioning

confidence: 99%

“…In follow-up extended e + e − -coincidence experiments electrons were measured in coincidence with positrons, and the measured e + e − -sum-energy spectra revealed even narrower lines [7][8][9][10]. First attempts were made to interpret these lines in the context of the e + e − -decay of a previously unknown neutral particle with a mass around 1.8 MeV/c 2 [7].…”

Section: Introductionmentioning

confidence: 99%

Positron spectra from internal pair conversion observed in 238U + 181Ta collisions

Heinz

Berdermann²,

Heine

et al. 2000

Eur Phys J A

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Abstract. We present new results from measurements and simulations of positron spectra, originating from 238 U + 181 Ta collisions at beam energies close to the Coulomb barrier. The measurements were performed using an improved experimental setup at the double-Orange spectrometer of GSI. Particular emphasis is put on the signature of positrons from Internal-Pair-Conversion (IPC) processes in the measured e + -energy spectra, following the de-excitation of electromagnetic transitions in the moving Ta

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Observation of correlated narrow-peak structures in positron and electron spectra from superheavy collision systems

Cited by 346 publications

References 9 publications

Parasupersymmetry in quantum mechanics

Parasupersymmetry in quantum mechanics

Supersymmetry and quantum mechanics

Positron spectra from internal pair conversion observed in 238U + 181Ta collisions

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