Parameters in Bohr-Mottelson Collective Hamiltonian

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The discussion revolves around calculating the mass parameter "B" in the context of the Bohr-Mottelson Hamiltonian for a five-dimensional square well potential. The user seeks guidance on determining the width of the potential well in this framework. Suggestions for relevant papers or books that address these calculations are requested. Participants emphasize the importance of understanding the underlying physics and mathematical formulations involved. The conversation highlights a need for resources that clarify these specific aspects of nuclear physics.
patric44
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Homework Statement
how do I find the value of the mass parameter and the width of the potential well present in the Bohr-Mottelson Hamiltonian?
Relevant Equations
-hbar^2/2B
Hi all
I was reading a certain paper that involves solving the Bohr-Mottelson Hamiltonian for a 5dimential square well potential, the B-M Hamiltoian reads:
1676748237636.png

my question is just how do I calculate the mass parameter "B" for a certain nuclei, and with a 5D infinite potential well how do I get the width of the potential well?
I will appreciate any help, thanks in advance.
 
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can any one suggest a paper or a book that address these points
 

Thread 'Help needed with Elliptic Integrals'

I want to find the solution to the integral ##\theta = \int_0^{\theta}\frac{du}{\sqrt{(c-u^2 +2u^3)}}## I can see that ##\frac{d^2u}{d\theta^2} = A +Bu+Cu^2## is a Weierstrass elliptic function, which can be generated from ##\Large(\normalsize\frac{du}{d\theta}\Large)\normalsize^2 = c-u^2 +2u^3## (A = 0, B=-1, C=3) So does this make my integral an elliptic integral? I haven't been able to find a table of integrals anywhere which contains an integral of this form so I'm a bit stuck. TerryW
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