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While reading about the island of stability of superheavy elements[0], experimental approaches and related difficulties[1], an idea has formed in my head. Since I cannot find considerations of such approach in literature or principal physical flaws in it, I’ve decided to ask here.
Disclaimer: Since I’m not a specialist in the field, it’s quite possible that I am simply missing some well known information.
So the question is: Can muons be used for creating new superheavy isotopes near the island of stability?
Some information about contemporary muon beam sources[2], [3].
Consider following variants:
1) The process of muon capture by the nucleus (analog to electron capture, but with muon) becomes the main decay channel for muons in atoms with Z>20.[4], [5]. The resulting nucleus is typically excited to energies in the range of 10–20 MeV[6], because most of the mass energy of the bound muon (-100 MeV) is converted to the kinetic energy of the neutrino. Investigations of muon capture by the nucleus in different materials show, that the fraction of resulting isotopes, which lose excitation without neutron emission is of the order of percent to tens of percent[6], [7]. This suggests that there is hope to use muon capture mechanism for adjusting proton/neutron ratio in desired direction for creating more stable superheavy isotopes. For example, starting from element 117 isotope 294Ts, we can “move” diagonally down-right on p-n diagram https://en.wikipedia.org/wiki/Island_of_stability#/media/File:Island_of_Stability_derived_from_Zagrebaev.svg
Although deexcitation without neutron emission seems unlikely for superheavy nuclei, one-neutron channel (which is the main de-excitation channel) although allows creation of new isotopes (for example 293Lv+µ->292Mc+n).
There are obvious problems:
- We don’t know the fraction of neutron-less and single-neutron de-excitation for superheavy isotopes, in best case it will be some percent, and fission will severely decrease the number of surviving nuclei but with facilities like Superheavy Element Factory[8], [9] this might be feasible.
- How to force a single short-living atom to capture a muon. I don’t have expertise to tell if this is very hard or totally impossible for current technology level.
But here we can, for example, align muon beam with ions of superheavy elements while they are flying from magnetic separator to detector.
In this case, we don't have to hit a single atom in a medium, we have to force a highly ionized isotope to catch a charged muon on an orbital. And it can be in vacuum (though I know that current experiment is gas filled). This seems difficult, but not outright crazy.
2) Yet another approach may be using of muonic hydrogen, deuterium and tritium or, maybe even muonic helium, instead of neutrons for irradiating targets and “jump” over short lifetime isotopes, like 258Fm ("fermium gap")[10]. Like in Muon-catalyzed fusion, hydrogen isotope shielded with muon can be used instead of neutron https://en.wikipedia.org/wiki/Muon-catalyzed_fusion For example we can move from long living 257Fm to long living 260Md by capturing a triton.
- I don’t know how feasible is this, but since using thermonuclear explosives[11] was proposed as a way to “jump” Fermium gap...
3) Maybe by synchronizing ion beam with muon beam, we can create by muon capture a beam of radioactive isotopes “on the fly”.
- I highly doubt if this is possible and intensity of the beam will drop by the orders anyway…
[1] V. Zagrebaev, A. Karpov, and W. Greiner, “Future of superheavy element research: Which nuclei could be synthesized within the next few years?,” J. Phys. Conf. Ser., vol. 420, p. 012001, Mar. 2013, doi: 10.1088/1742-6596/420/1/012001.
[2] S. Cook et al., “Delivering the world’s most intense muon beam,” Phys. Rev. Accel. Beams, vol. 20, no. 3, p. 030101, Mar. 2017, doi: 10.1103/PhysRevAccelBeams.20.030101.
[3] MICE collaboration, “Demonstration of cooling by the Muon Ionization Cooling Experiment,” Nature, vol. 578, no. 7793, pp. 53–59, Feb. 2020, doi: 10.1038/s41586-020-1958-9.
[4] I. H. Hashim et al., “Nuclear Isotope Production by Ordinary Muon Capture Reaction,” Nucl. Instrum. Methods Phys. Res. Sect. Accel. Spectrometers Detect. Assoc. Equip., vol. 963, p. 163749, May 2020, doi: 10.1016/j.nima.2020.163749.
[5] K. Nagamine, Introductory muon science. Cambridge ; New York: Cambridge University Press, 2003.
[6] D. F. Measday, “The nuclear physics of muon capture,” Phys. Rep., vol. 354, no. 4–5, pp. 243–409, Nov. 2001, doi: 10.1016/S0370-1573(01)00012-6.
[7] D. F. Measday, T. J. Stocki, R. Alarcon, P. L. Cole, C. Djalali, and F. Umeres, “Comparison of Muon Capture in Light and in Heavy Nuclei,” in AIP Conference Proceedings, 2007, vol. 947, pp. 253–257, doi: 10.1063/1.2813812.
[8] S. Dmitriev, M. Itkis, and Y. Oganessian, “Status and perspectives of the Dubna superheavy element factory,” EPJ Web Conf., vol. 131, p. 08001, 2016, doi: 10.1051/epjconf/201613108001.
[9] Y. T. Oganessian and S. N. Dmitriev, “Synthesis and study of properties of superheavy atoms. Factory of Superheavy Elements,” Russ. Chem. Rev., vol. 85, no. 9, pp. 901–916, Sep. 2016, doi: 10.1070/RCR4607.
[10] V. I. Zagrebaev, A. V. Karpov, I. N. Mishustin, and W. Greiner, “Production of heavy and superheavy neutron-rich nuclei in neutron capture processes,” Phys. Rev. C, vol. 84, no. 4, p. 044617, Oct. 2011, doi: 10.1103/PhysRevC.84.044617.
[11] H. W. Meldner, “Superheavy Element Synthesis,” Phys. Rev. Lett., vol. 28, no. 15, p. 4, 1972.
As this is my first year in post graduation working on Nuclear Shell Model, reading articles such as "The shell model as a unified view of nuclear structure" by E. Caurier et al. REVIEWS OF MODERN PHYSICS, VOLUME 77, APRIL 2005, makes me facing many subtleties to recognize. Kindly, if there are resources (articles, books) to remake my background, it would be appreciated.
its atomic number is not too high. So what kind of mathematical or physical constraint on its nuclear structure breaks it so easily? Why doesn't it have any natural stable isotope?
If it's one isotope with nearly equal neutron and proton number be produced, why that would not be stable?
For any expected quadrupole deformation value; what are the values to be set for deformation of the h.o. basis and deformation of the initial W.S. potential in the code? should they set to the same value of the expected beta value?
The shell model treats the motion of nucleons within the nucleus as non-relativistic; I'm looking for models that treat the motion of nucleons as relativistic.
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Hello everyone
Does one of you ever tried to vizualize RNAs by immunofluorescence? I have tried an RNAse treatment to check the integrity of some nuclear structures but I am unable to find a way to show that my RNAse indeed enter the cells to degrade the RNA.
Thank you very much
I wish to perform CC calculations using CCFULL for 6Li/7Li. I'm able to include target inelastic states but stuck up while including the projectile ground state spin and projectile excited states. I'm using the modified version CCFULL2. In which lines of the code should I include the aforementioned couplings?
Hello everybody,
I'm interested to understand about the effects of isotopes on properties of a molecule. For example in hydrogen, helium or oxygen (which have isotopes) what is the general expectation on some properties like critical temperature, critical pressure, critical volume and normal boiling point and ideal liquid density of isotopes?
I mean as an example is it true to say that we should expect higher value in volume and density in heavier isotopes? or higher normal boiling point in heavier isotopes like D2 rather than H2?
As an example the normal boiling point of 16O16O is -182.95 C, is it true to consider the normal boiling point of 16O18O (which is heavier) a value like -182.5 C?
So if I conclude my question, what is the value of heavier isotopes against lighter isotopes in following properties: (answer by bigger or lower):
Normal boiling point?
Ideal liquid density?
Critical temperature?
Critical Pressure?
Critical volume?
and Acentric factor?
Thanks in advance.
Meysam.
Hello, every friend!
I know that B(E1) spectrum can be obtained by using virtual photon method, experimentally. But how do you get it through any theory approach? Is there any code to do that?
Many thanks!
what is meant by the band termination for particular given Nucleus let say 52Cr?
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Nphmax,mult, pair ,ell,qq,chq,oct,bfe,bfq ,bfm ,chi ,beta,betad,bfqj,bfmj, ippar1,ippar2,ippi, ippm , ilev,iai ,iam, neig , pen , vsq and ipr
Is it possible to find the geologic time of an original nucleus (radioactive-parent) based on the given:
Half life of the original nuclei.
Activity, half life, decay constant, nuclei of the Radiogenic (daughter).
Assumption:ß0
The parent is unstable while daughter is stable.
A hydrogen nucleus consists of a single proton. A 2-hydrogen (deuterium) nucleus consists of a proton and a neutron. A tritium nucleus consists of a proton and two neutrons.
This makes me wonder how an atomic nucleus made of a proton and a "minus one neutron" would look like, and the closest thing to a "minus one neutron" I can imagine is an antineutron.
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are they same. If yes then all excited bands are side bands in nuclei.
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So has anyone ever seen such star-shaped nucleus in macrophages or any other cell types? And does anyone know what is going on in these cells?
Thanks in advance!
What is the average energy of the light fragments (neutrons, protons, alpha etc.) produced in multifragmentation reactions?
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relativistic mean field theory. The counter plotting of these densities gives a
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I want practical thesis for work it out. E.g modified fuel rod.
Why 2 neutron and 2 proton should combine in nucleus and decay by alpha? They can decay as n and p itself.
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