Thermodynamic properties of the mono-atomic linear chain

Pirenne, Jean; Renson, Pierre

doi:10.1016/0031-8914(62)90042-3

Cited by 16 publications

(10 citation statements)

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“…This suggestion was either unappreciated, or unknown (opinions vary [10,11]), but in any case was not mentioned in several later works that independently predict the existence of what we now call positronium, and describe in more detail some of its properties. The first of these is the Ph.D. thesis of Pirenne [12,13]. As mentioned by Beck in 1946 [14], Pirenne performed calculations of Ps decay rates in Paris in 1942, but this work was not widely known at the time because of war in Europe.…”

Section: Introductionmentioning

confidence: 99%

Experimental progress in positronium laser physics

2018

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Abstract. The field of experimental positronium physics has advanced significantly in the last few decades, with new areas of research driven by the development of techniques for trapping and manipulating positrons using Surko-type buffer gas traps. Large numbers of positrons (typically ≥10 6 ) accumulated in such a device may be ejected all at once, so as to generate an intense pulse. Standard bunching techniques can produce pulses with ns (mm) temporal (spatial) beam profiles. These pulses can be converted into a dilute Ps gas in vacuum with densities on the order of 10 7 cm −3 which can be probed by standard ns pulsed laser systems. This allows for the efficient production of excited Ps states, including long-lived Rydberg states, which in turn facilitates numerous experimental programs, such as precision optical and microwave spectroscopy of Ps, the application of Stark deceleration methods to guide, decelerate and focus Rydberg Ps beams, and studies of the interactions of such beams with other atomic and molecular species. These methods are also applicable to antihydrogen production and spectroscopic studies of energy levels and resonances in positronium ions and molecules. A summary of recent progress in this area will be given, with the objective of providing an overview of the field as it currently exists, and a brief discussion of some future directions.

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Section: Introductionmentioning

confidence: 99%

Experimental progress in positronium laser physics

2018

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“…A(1 'So) =Au(1'So) 1 -(5 --'sr2) 4 +2a, lna, '+0(a, ) =(0.7987+0.0001)X 10' sec (2) where a, stands for the fine-structure constant. The uncalculated second-order term 8(a, ) causes the error indicated in Eq.…”

Section: Introductionmentioning

confidence: 99%

“…The lowest-order decay rate Az(1'Sz -+2y) of singlet positroniums was first calculated by Pirenne [2], and the first-order radiative corrections were performed by Harris and Brown [3]. In addition, Caswell [4], which was modified by Khriplovich and Yelkhovsky [5], leading to the following formulation for the singlet positronium decay rate:…”

Section: Introductionmentioning

confidence: 99%

Precise measurements ofe+e−annihilation at

et al. 1994

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“…The possibility of a µ + µ − bound state, denoted here as (µ + µ − ), was surely realized not long after the clarification [1] of the leptonic nature of the muon, since the first positronium calculations [2] and its observation [3] occurred in the same era. The term "muonium" for the µ + e − bound state and its first theoretical discussion appeared in Ref.…”

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confidence: 99%

“…As discussed below [Eq. (2) and following], the SSS correction ∼ πα/β cancels the factor of β, the velocity of either of µ ± in their common center-of-momentum (c.m.) frame, that arises from phase space.…”

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confidence: 99%

Production of the Smallest QED Atom: True Muonium (μ+μ−)

2009

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The "true muonium" (µ + µ − ) and "true tauonium" (τ + τ − ) bound states are not only the heaviest, but also the most compact pure QED systems. The rapid weak decay of the τ makes the observation of true tauonium difficult. However, as we show, the production and study of true muonium is possible at modern electron-positron colliders. The true muonium (µ + µ − ) and true tauonium (τ + τ − ) [and the much more difficult to produce "mu-tauonium" (µ ± τ ∓ )] bound states are not only the heaviest, but also the most compact pure QED systems [the (µ + µ − ) Bohr radius is 512 fm]. The relatively rapid weak decay of the τ unfortunately makes the observation and study of true tauonium more difficult, as quantified below. In the case of true muonium the proposed production mecha- 14], and e + e − → (µ + µ − ) [15]. In addition, the properties of true muonium have been studied in a number of papers [9,16,17]. The e + e − → (µ + µ − ) production mechanism is particularly interesting because it contains no hadrons, whose concomitant decays would need to be disentangled in the reconstruction process. If the beam energies of the collider are set near threshold √ s ∼ 2m µ , the typical beam spread is so large compared to bound-state energy level spacings that every nS state is produced, with relative probability ∼ 1/n 3 [i.e., scaling with the (µ + µ − ) squared wave functions |ψ n00 (0)| 2 at the interaction point, r = 0] and carrying the Bohr binding energy −m µ α 2 /4n 2 . The high-n states are so densely spaced that the total cross section is indistinguishable [18] from the rate just above threshold, after including the SommerfeldSchwinger-Sakharov (SSS) threshold enhancement factor [19] from Coulomb rescattering. As discussed below [Eq. (2) and following], the SSS correction ∼ πα/β cancels the factor of β, the velocity of either of µ ± in their common center-of-momentum (c.m.) frame, that arises from phase space.The spectrum and decay channels for true muonium are summarized in Fig. 1, using well-known quantum mechanical expressions [20] collected in Table I. In most cases, the spectrum and decay widths of (µ + µ − ) mimic the spectrum of positronium scaled by the mass ratio

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Thermodynamic properties of the mono-atomic linear chain

Cited by 16 publications

References 2 publications

Experimental progress in positronium laser physics

Experimental progress in positronium laser physics

Precise measurements ofe+e−annihilation at

Production of the Smallest QED Atom: True Muonium (μ+μ−)

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