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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.
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I am not a specialist in Nuclear Physics, but your question seems to be very interesting.
I found the following related link * and I hope some specialists will address your inquiry, meanwhile, it is a good research final question for students in atomic physics/modern physics II.
Best Regards.
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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.
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New good paper in shell model and Strutinsky method is
"Better insight into the Strutinsky method "
Also, The new vision for papering is comment:
"Remarks on the nuclear shell-correction method"
Search them in google scholar
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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?
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The detailed answer is complicated. Basically, the stability of nuclides depends on their number of protons/neutrons and some configuration are more stable then others (analogue to electronic configurations in the atom). So it turns out that all configurations with 43 protons either decay in Mo (42) or Ru (44) because both these elements have a lot of stable isotopes.
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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?
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Yes, From my experience it is best to set them equal. it will give you faster convergence.
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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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There are three main models for nuclear structure research at present :droplet model, shell model and collective model.They all have their own limitations.If you want to look for models that treat the motion of nucleons as relativistic.The key issue is what is the formula of strong interaction?Then using the formula to creat a dirac function to explain p-n structure.
Well,It would be very successful! if your theory could solve the problems of binding energy, abnormal magnetic moment, lifetime, isotope number and neutron/nucleon number ratio of 118 elements.
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I want to determine the cellular localization of a protein, hence looking for a protocol to fractionate cell extracts, i.e. cytoplasmic, soluble nuclear extract and chromatin bound fraction. I have been using CSK buffer with 0.1% Triton-X but I'm not sure if it's stringent enough to distinguish between the two possibilities of being bound to chromatin and associated with some other nuclear structure. 
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Thank you Florian, Vicente and Chantal. 
I have thought about trying ChIP-Seq and microscopy, however this particular protein is low in abundance and a good enough antibody isn't available. But yeah, haven't given up these approaches. I just wanted to try out a crude method before getting into those two. Didn't think about using a dye to tag. Thanks!
Thanks for the link, Chantal. I have been trying a similar protocol but this seems more detailed. Thanks!
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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
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Hi Fanny, I use the Click-iT® RNA Alexa Fluor® 594 Imaging Kit, you can find it here: https://www.thermofisher.com/order/catalog/product/C10330
The Click-iT® RNA Alexa Fluor® 594 Imaging Kit enables detection of global RNA transcription temporally and spatially in cells and tissues. Utilizing an alkyne-modified nucleoside, 5-ethynyl uridine (EU), (you need to incubate previously your cells with EU for 24 h) and powerful click chemistry, newly synthesized RNA can be detected without the use of radioactivity or antibodies with a simple, two-step procedure.  Detection utilizes the chemoselective ligation reaction between an azide and an alkyne where the modified RNA (with EU) is detected with a corresponding azide-containing dye.
Hope this helps,
Daniela.
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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?
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There is a special version so-called "ccfull-li" for 6,7Li CC calculations. I think you can download it from Hagino-san's homepage, or you can ask him for the code.
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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.
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Physical propetrties of D2O vs. H2O
after Brodskij, Chemistry of Isotopes, Moscow 1952:
Density at 25oC 1.10469 vs. 0.99704
Normal boiling point 101.42oC vs. 100.00
Critical temperature 371.5oC vs. 374.2oC
Critical Pressure   218.6 at vs. 218.5 at
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Hi! I might be able to answer some questions. I have used it for some simple things, but maybe I can help.
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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!
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Dear Mr. Falih Al_khudair, thank you very much for your answer. I will study this model.
Best wishes!
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what is meant by the band termination for particular given Nucleus let say 52Cr?
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It's been more than 20 years since my PhD in nuclear structure, but I think I remember correctly that as a nucleus increases spin the valence nucleon pairs break, with the nucleon orbits re-aligning with angular momentum along the rotational axis. This turns the nucleus into a prolate (flattened sphere) shape. Eventually, no more nucleon pairs are available to be broken, limiting the total angular momentum available and blocking further excitation along the band. This is the point at which band termination is reached.
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I am making nuclear and cytoplasmic fractions and I need to assess if it is working. I see that some use Histone H3 as a nuclear marker/control, what antibody would you recommend?
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Be careful with nuclear markers like lamins and histones as western blot control for the purity of your nuclear and cytoplasmic fractions. Both are largely part of insoluble nuclear components (nuclear matrix and chromatin) and therefore easily remain in the nuclear pellet during fractionation. However, some fractionation protocols, especially those using detergents, lead to significant leakage of soluble nuclear components into the cytosolic fraction. In this case, lamin/histone controls make you misleadingly believe that your fractions are clean.
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Recently we have synthesized some perovskite oxide structures which crystallize in Pnma space group at room temperature and low temperature. The reported magnetic space group is also same as nuclear structure for such kind of materials. However there are some misfits in peaks, Moreover some peaks are missing. I want to refine magnetic structure carefully. But I do not know how to do this scientifically. Can anyone help me how to do this?
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Dear Alfred can you send me your email? I can share more information about my questions.
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Any information for proton pickup reaction data for the 151,153 Eu isotopes, with 152,154 Gd isotopes as a target?
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There is no data in the international experimental nuclear reaction database (EXFOR), but evaluated cross sections based on model predictions are available, see examples below. For this kind of cross-sections, I would trust those models, which are adjusted on experimental data of neighboring isotopes.
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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
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sorry, i cannot help
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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.
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dN1/dt=-C1N1..........................(1)
dN2/dt=C1N1-C2N2......................(2)
dN3/dt=-C2N2.............................(3)
C1 and C2 are the decay constants and N1 is the number of Parent nuclei at time t, N2 is the number of Daughter nuclei at time t, and N3 is the number of stable nuclei. Solvong the above equations you get the results:
N1=N10e-C1t ...................................(4)
N2=N10C1(e-C1t - e-C2t)/(C1-C2) ...............(5)
N3=N10C1C2[(1 - e-C1t)/C1 -(1 - e-C2t)/C2]/(C2 - C1)............ (6)
Equations (4), (5) and (6) are the required. Those are clearly derived in many nuclear physics textbooks. One of them: Elements of Nuclear Physics by Meyerhof. Hope this answers your question.
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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.
If the proton and antineutron annihilate, is it still possible that the thing they annihilate to remains somehow stable enough to behave like an atomic nucleus?
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Well, a proton is two ups and a down.
An anti-neutron is two anti-downs and an anti-up.
So the downs and ups go off in a blaze of glory, leaving an up and an anti-down.
Which is a positive pion. I guess one *could* build an atom-like thing with it - but its lifetime isn't very long.
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are they same. If yes then all excited bands are side bands in nuclei.
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Excited bands can be based on the ground state of a nucleus. In this case they are excited bands, but no side bands. Side bands are excited bands based on an excited state (e.g. a rotational band based on an excited vibrational state). Exited bands exist were at least a certain degree of collectivity is involved in the structure of the nucleus. There are no excited bands based on a pure single-particle state. Howevr excited bands can also be based on an excited atate, which differs in shape from the ground-state (ii.e. intruder staes).
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What is vibrational enhancement factor and how the vibrational energy levels come into play in Nilsson and Cranked Nilsson models
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Hello!
The attached paper may be useful to you. The vibrational enhancement factor of the nuclear level density results from combining the collective and single-particle model of nuclear structure (Bohr-Mottelson model), for instance, the single-particle motion of valence nucleon(s) coupled to vibrational phonon(s) of the nuclear surface.
Cheers, 
Alexis
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I'm doing my undergraduate research now on macrophages (RAW264.7) and microglia (Bv2). Just recently I realised that some macrophages, after long time of LPS stimulation, have acquired a star-shaped morphology. I first though they were undergoing cell division in prophase cause the star-shape looks like some packed chromatins being anchored in the centre and radiating outwards, but I couldn't be sure of that cause macrophages don't really divide under stress. However, i'm not sure if they're dying by necrosis either because I haven't found any paper that describe cells having exactly the same shape during LPS or other types of stimulation. As I am working on finding ion channels on the nuclear envelope with immunofluorescence, those star-shaped nuclei haven't any antibody stainings colocalising with DAPI.
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!
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Hello Yang Li. Interesting finding there. Maybe you will find this article helpful for the interpretation of your findings. The article claims that it is the first to demonstrate that RAW264.7 macrophages would undergo morphological, ultrastructural and bio-mechanical changes after LPS stimulation. All the best!
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What is the average energy of the light fragments (neutrons, protons, alpha etc.) produced in multifragmentation reactions?
What is the average multiplicities?
What is the common yields of the multifragmentation reactions?
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As answer on last question, try to use the empirical models, like EPAX. Here is the links: http://www-alt.gsi.de/documents/FRS-reference-2012-001.html
and the Internet realization http://nrv.jinr.ru/nrv/webnrv/epax3/
Another possible code is LISE: http://lise.nscl.msu.edu/lise.html
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In coordinate space it is the limit the ratio of the radial function for l=2 to that of l=0 as r goes to infinity. I'm hoping there is a similar formalism in momentum space. If so, I'd appreciate it if some one can direct me to a relevant paper or so.
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One merely propogates the derpity operator in herp derp space
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Is there any term exist named "Transfer barrier" for transfer reactions? If yes, then kindly provide me formalism for transfer barrier also.
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Hello!
In low-energy heavy-ion fusion, the term 'Coulomb barrier' commonly refers to the barrier formed by the repulsive 'Coulomb' and the attractive 'nuclear' (nucleus-nucleus) interactions in a central (s-wave) collision. This barrier is frequently called fusion barrier (for light and medium mass heavy-ion systems) or capture barrier (heavy systems). In general, there is a centrifugal component to such a barrier (non central collisions). Experimenters may use the term 'Coulomb barrier' to the nominal value of the 'Coulomb barrier distribution' when either coupled-channel effects operate or (at least) a collision partner is deformed as the barrier features depend on orientation. To my knowledge, the terminology 'transfer barrier' has not been used much. In my view, it could be applied to the transfer of charged particles/clusters.
There is a vast literature on methods for calculating Coulomb barriers. For instance, the double-folding method is broadly used in the low-energy nuclear physics community. Based on this technique, there is a potential called 'Sao-Paulo potential' because it has been developed by theorists in Sao Paulo city in Brazil.
Hope this info is useful.
Cheers,
Alexis
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Currently I am using this formalism, but it is giving me incorrect values compared to available literature.
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Hello!
It can be determined from the quarter-point of the elastic scattering angular distribution. It is the angle where the elastic differential cross section relative to the Coulomb-point (or Rutherford) one is 0.25. This angle relates to the grazing trajectory. The grazing angle can be calculated using the formula for the distance of the closest approach in the Rutherford scattering. When this distance is equal to the sum of the radius of the projectile and the radius of the target, the projectile trajectory corresponding to the grazing angle touches the surface of the target nucleus.
Cheers,
Alexis
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For example: for Nd electric quadrupole moment is -0.78.
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You can find the Q's in this review. Yuri
Atomic Data and Nuclear Data Tables 90(2005) www.sciencedirect.com
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I have performed the theoretical calculations for finding the island of stability at superheavy valley. Here, we have used relativistic mean field (RMF) and Skyrme
Hartree Fock (SHF) with various forces for these calculation. Based on the average pairing gap for proton and neutron, nucleon separation energy, paring energy, shell correction energy and single particle energy for nucleons, we have predicted Z=120
with N=182/184 as nest magic number after Pb. Here, I like to know, is there any other observable for strengthen our predictions.
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Dear Prof. Tuomas,
I have downloaded all the reference from you. I will go through this soon. I like a personal touch to you by email. Kindly forward your email for further communication. Thank you
Mrutunjaya
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I want to calculate the magnetic moments according to shell model for the first excited state in 24Mg
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Pls. find it in continuation with the above answer as this paragraph was left unsent due to typographical error.
After having calculated the spin quantum for Mg24 in its first excited state having one proton and neurton present in two shells, apply:
Total mu= mu (proton) +mu (neutron)
= nuclear magneton [g (p).spin (p) + g (n).spin (n)]
=3.1525.10^-8 eV/T [5.5858.1/2-3.8263.1/2].
= 3.1525.10^-8.1/2[5.5858-3.8263] eV/T.
= 2.7734.10^-8 eV/T.
g (gyromagnetic splitting values) of proton and neurton are reported in the literature.
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For the last few years, I have been using relativistic mean field theory for determination
of clustering in atomic nuclei. The method of determining the cluster is directly
connected with the density distribution of the nucleus, which obtains from the
relativistic mean field theory. The counter plotting of these densities gives a
clear picture of clusters inside the nucleus.
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From last few year I am using Relativistic mean field theory in determination
of clustering in atomic nuclei. The method to determine the cluster directly
connected with the density distribution of the nucleus, which obtain from the
relativistic mean field theory. The counter plotting of these density gives a
clear picture of clusters inside the nucleus.
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I want practical thesis for work it out. E.g modified fuel rod.
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An example of a master's thesis that you can easily realize is to measure the natural and artificial radioactivity in the soil in your area by gamma spectrometry
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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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In Heavy nucleous alpha particle is pre-formed,during the formation of alpha particle high KE(BE of alpha particle is less than its constituent nucleons) is released.This KE is sufficient to escape from the Nucleous.where as For Neutron and Protan we have to supply KE from out side the nucleous,which is not possible.Hence Nuclides with higher mass no decay through alpha and not through neutron or protan.
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Can anyone help me in find energy values required for the nuclear fusion of some light elements of the periodic table, example: N+N -> CO?
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Any nuclear chemistry or nuclear physics text will help you with this. N+N has a mass of 14.00307+14.00307 mass units. Going to C+O (ignoring minor chemical bond energies) gives a final mass of 12 + 15.99491 mass units. The reactants are 0.01123 mass units heavier. From E=mc^2 this is identical to an energy release that works out to be 10.5 million eV. There is an electrostatic barrier keeping two Ns apart that is roughly equal to a 12 MeV input requirement (corresponding to a temperature of about 140 billion kelvin). Isotopic masses can be found on-line at a variety of sources.