Pionic hydrogen and deuterium

Gotta, D.; Simons, L. M.

doi:10.21468/scipostphysproc.5.014

Cited by 4 publications

(4 citation statements)

References 21 publications

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“…For the light muonic atoms, not only the proton polarizability enters, but also the polarizabilities of the neutron and the nucleus as a whole. Similar complications arise when going from pionic hydrogen to pionic deuterium 14 or helium. 15 The nuclear polarizabilities are typically several orders of magnitude larger than the nucleon polarizabilities, and thus, more important.…”

Section: Nucleons and Nucleimentioning

confidence: 88%

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2021

SciPost Phys. Proc.

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Section: Nucleons and Nucleimentioning

confidence: 88%

“…The most precise measurements of pionic hydrogen and deuterium have been performed at PSI. 14 The S-wave scattering lengths enter as important constraints in a dispersive Roy-Steiner analysis of the πN scattering amplitude [119].…”

Section: The Pionmentioning

confidence: 99%

Untitled

2021

SciPost Phys. Proc.

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“…Although the results here are only at a single pion mass, it is interesting to compare our scattering lengths to those extracted phenomenologically [86,87] from pionic atoms [88][89][90], as well as to those obtained from chiral perturbation theory. A pion mass of m π = 200 MeV is close to the physical pion mass and perhaps within the regime that SU (2) baryon χPT is converging.…”

Section: Comparison With Phenomenology and Chiral Perturbation Theorymentioning

confidence: 90%

Elastic nucleon-pion scattering at $m_π = 200~{\rm MeV}$ from lattice QCD

Bulava¹,

Hanlon²,

Hörz³

et al. 2022

Preprint

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Elastic nucleon-pion scattering amplitudes are computed using lattice QCD on a single ensemble of gauge field configurations with N f = 2 + 1 dynamical quark flavors and m π = 200 MeV. The s-wave scattering lengths with both total isospins I = 1/2 and I = 3/2 are inferred from the finite-volume spectrum below the inelastic threshold together with the I = 3/2 p-wave containing the ∆(1232) resonance. The amplitudes are well-described by the effective range expansion with parameters constrained by fits to the finite-volume energy levels, enabling a determination of the I = 3/2 scattering length with statistical errors below 5%, while the I = 1/2 scattering length is somewhat less precisely evaluated. Systematic errors due to excited states and the influence of higher partial waves are controlled, providing a step toward future computations down to physical light quark masses with multiple lattice spacings and volumes.

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“…For muon beams, this number is about one order of magnitude higher. This led to a successful series of measurements in muonic hydrogen and in both pionic hydrogen and deuterium, reducing typical measuring times to a month (Section 14 [14]). The line shape of the muonic hydrogen Kβ transition was determined with high precision as a prerequisite for later experiments in pionic hydrogen [15].…”

Section: Muonic and Pionic Atomsmentioning

confidence: 99%

Cyclotron trap

Gotta

Simons

2021

SciPost Phys. Proc.

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The cyclotron trap was developed at SIN/PSI to increase the stopping density of negatively charged particle beams for the formation of exotic atoms in low pressure gases. A weak focusing magnetic field, produced by superconducting solenoids, is used. Particles are injected radially through the fringe field to a moderator, which decelerates them into orbits bound by the field. Further deceleration by moderators and/or low-pressure gases leads the particles to the centre of the device, where they can be stopped or eventually extracted. Experiments became feasible with this technique, such as those dealing with pionic hydrogen/deuterium at SIN/PSI. Muonic hydrogen laser experiments also became possible with the extraction of muons from the cyclotron trap. The formation of antiprotonic hydrogen in low pressure targets led to successful experiments at LEAR/CERN.

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Pionic hydrogen and deuterium

Cited by 4 publications

References 21 publications

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Elastic nucleon-pion scattering at $m_π = 200~{\rm MeV}$ from lattice QCD

Cyclotron trap

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