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23 lines
540 B
Plaintext
23 lines
540 B
Plaintext
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Finite Spherical Well and Deuterium Nucleus
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Attractive potential exists between proton and neutron
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(pic) step function potential
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Assume l=0 then S.E. for radial function is
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−͟ħ͟²͟ ⎛∂͟²͟ R + 2͟ ∂͟ R⎞V R = E R
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2m ⎝∂r² r ∂r ⎠
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K² ≡ (E͟_͟−͟_͟V͟)2m ⇒ ∂͟²͟ R + 2͟ ∂͟ R + K² R = E R
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ħ² ∂r² r ∂r
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R(r) = U(r)/r ⇒ ∂͟²͟ U = - K² R
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∂r²
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For r<a
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K₀ = 2͟m͟(E+V₀) ⇒
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ħ²
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