Florian sandbox#5
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Created a new notebook to assemble and plot different parts of the internuclear potential in the D2 case.
mklilley
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Dec 7, 2020
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| ```python | ||
| A = 4 # 4 nucleons in two deuterium atoms | ||
| V0 = 28.5e6 #50 # ground state energy see for He-4 https://pdfs.semanticscholar.org/4c24/b2d33f3b3ca2f288897967dc3a6fdb51f1a0.pdf |
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A few comments here
- I see why you chose 28.5, but I don't think it is as simple as putting in the ground state energy - see http://www.uprh.edu/rbaretti/WoodsSaxonPotential25may2012.htm
- The link you reference, the paper seems to be suggesting a novel way to look at nuclear levels including gravity. Is there are more mainstream reference we can use?
- In general I think we are mixing up potential and potential energy. Morse, KW and coulomb seem to be potential energy, but WS is potential.
mklilley
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Dec 7, 2020
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| ```python | ||
| def morsepot_au(r): # in atomic units | ||
| a = 0.4 |
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From what I can tell from the Koonin paper, a = 1.04.
| ```python | ||
| def morsepot_au(r): # in atomic units | ||
| a = 0.4 | ||
| return (1+0.1745)*(np.exp(-2*a*(r-1.4))-2*np.exp(-a*(r-1.4))) |
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From reading the Koonin paper, it looks like the entire potential needs to be shifted down by -1, i.e.
(0.1745)*(np.exp(-2*a*(r-1.4))-2*np.exp(-a*(r-1.4))) - 1
If I use a=1.04 as in the above comment I get a much better fit to the KW potential energy
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I added some more detailed comments on Slack, as they require more discussion |
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