Heavy Hydrogen: Proton, Muon/Tauon - Stability?

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SUMMARY

The discussion centers on the existence of heavier forms of hydrogen, specifically those involving muons or tauons and quark combinations like ccs or ttb. It is established that no nucleons based on these combinations have been produced, and muons decay too quickly to form stable atoms for investigation. However, muonic hydrogen, consisting of a proton and a negative muon, has been successfully created in laboratories, with its atomic transition energies measured. The binding energy of the muon in this configuration is approximately (105.658/0.511) times 13.6 eV, and it can undergo atomic transitions, emitting mu-mesic x-rays during de-excitation.

PREREQUISITES
  • Understanding of muonic hydrogen and its properties
  • Familiarity with quark compositions (uud, ccs, ttb)
  • Knowledge of atomic transitions and binding energy concepts
  • Basic principles of particle physics, including muon decay
NEXT STEPS
  • Research the properties and applications of muonic hydrogen in particle physics
  • Explore the concept of hypernuclei and their significance in nuclear physics
  • Study the mechanisms of muon capture in high-Z nuclei
  • Investigate the implications of mu-mesic x-rays on nuclear charge distribution
USEFUL FOR

Particle physicists, nuclear physicists, and researchers interested in advanced atomic structures and the behavior of muons in various environments.

scupydog
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A hydrogen atom is consists of a proton (uud quarks) and an electron.

Is there a heavier atom of hydrogen that consists of a type of proton (ccs or ttb quarks) and a muon or tauon respectively?

Are these
 
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To my knowledge, no nucleons based on combinations (ccs or ttb quarks) have been produced in this part of the universe. Muons don't exist long enough to produce an atom that could be investigated.
 
Astronuc said:
To my knowledge, no nucleons based on combinations (ccs or ttb quarks) have been produced in this part of the universe. Muons don't exist long enough to produce an atom that could be investigated.

ccs has never been observed, and it would be extremely short lived. ttb does not exist, because top quark is too unstable to form composite particles.

It is possible to form an "atom" out of a proton and a muon. It would only last a couple of microseconds before muon decays.
 
Astronuc said:
To my knowledge, no nucleons based on combinations (ccs or ttb quarks) have been produced in this part of the universe.

True, although there are "hypernuclei", where one of the nucleons has been replaced by a hyperon, most often a \Lambda^0, but a\Sigma hypernuclei have also been produced and studied. There are people who dedicate their entire careers to the study of hypernuclei.

This field has some surprises: {\rm ^5_{\Lambda}He} should look a lot like {\rm ^4He}, but in fact, unlike the alpha particle, is not very tightly bound at all.

The problem with (css) is that it's pretty much at our limit of abilities to produce a hypernucleus with one strange quark, let alone two, let alone charm. But this is a practical problem, not a fundamental one.

Astronuc said:
Muons don't exist long enough to produce an atom that could be investigated.

That's not the case. A negative muon can be captured by a nucleus, and it can live long enough to undergo atomic transitions, giving off x-rays as it de-excites. These mu-mesic x-rays (as they were called when they were discovered by Val Fitch and Jim Rainwater in the early 1950's) provide a lot of information on the charge distribution of the nucleus - because a muon is 200x heavier than an electron, it's Bohr radius is 200 times smaller, so the effect of the nuclear charge distribution (e.g. quadrupole deformations) is orders of magnitude larger.

Indeed, the lifetime of the muon is about 20 trillion times longer than the classical orbit period. Microseconds seems like a short time to us, but compared to typical atomic transition times, it's huge.
 
scupydog said:
A hydrogen atom is consists of a proton (uud quarks) and an electron.

Is there a heavier atom of hydrogen that consists of a type of proton (ccs or ttb quarks) and a muon or tauon respectively?
Muonic hydrogen (proton plus negative muon) has been made in the laboratory, and its atomic transition energies have been measured. The binding energy of the muon is about (105.658/0.511) times 13.6 eV*. The bound muon does not interact with the proton**, and decays while in the ground state of the muonic hydrogen atom.
Bob S
* does not include significant reduced mass correction.
** protons do absorb muons in high-Z atoms.
 
Last edited:
Bob S said:
Muonic hydrogen (proton plus negative muon) has been made in the laboratory, and its atomic transition energies have been measured. The binding energy of the muon is about (105.658/0.511) times 13.6 eV*. The bound muon does not interact with the proton**, and decays while in the ground state of the muonic hydrogen atom.
Bob S
* does not include significant reduced mass correction.
** protons do absorb muons in high-Z atoms.

Hi bob, If the muon decays whilst in the ground state where does the energy come from to keep the atom in the ground state
 
Vanadium 50 said:
That's not the case. A negative muon can be captured by a nucleus, and it can live long enough to undergo atomic transitions, giving off x-rays as it de-excites.

Is the energy of the x-ray equal to the transition from muon to electron or is there some energy taken from the nucleus..as in ccs to uud
 
scupydog said:
Is the energy of the x-ray equal to the transition from muon to electron or is there some energy taken from the nucleus..as in ccs to uud

Neither. It's an ordinary atomic transition.
 
scupydog said:
Hi bob, If the muon decays whilst in the ground state where does the energy come from to keep the atom in the ground state
In muonic hydrogen, the muon cascades down to the 1S state in a few picoseconds, and usually decays into a muon neutrino, an electron anti-neutrino, and a high energy electron (up to 52 MeV), leaving a free proton to find a free electron. The muon absorption rate in nuclei varies as Z4, and in high Z nuclei the muon spends most of its time in nuclear matter, and is captured by a proton in 60-80 nanoseconds, decaying to a neutron and a muon neutrino.
Bob S

[added] muon lifetime is about 2.2 microseconds.
 
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