ph135c_hw2

ph135c_hw2 - Physics 135c H. W. Assignment 2 1.) Show that...

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Physics 135c H. W. Assignment 2 1.) Show that the deuteron binding energy ( E b = 2 . 22 MeV) and n p triplet scattering length ( a t = +5 . 4 fm) can be reproduced by a simple square well [ V ( r ) = V 0 , r r 0 , V ( r ) = 0 , r > r 0 ] by determining the parameters V 0 and r 0 . Use these parameters to estimate the eFective range in n p triplet scattering, where the eFective range ( r e ) is de±ned from the expansion: k cot( δ 0 ) = 1 /a t + r e k 2 / 2 + . . . 2.) In molecular hydrogen two types of states are discussed: ortho- and para- hydrogen. The ortho is the state that is symmetric with respect to spin exchange, while para is antisymmetric. The same nomenclature is applied to molecular deuterium, with ortho again being the spin symmetric state. (a) Use the fact that protons are spin 1/2 and deuterons are spin 1 to explain why (equations are OK) parahydrogen is the ground state of the hydrogen molecule while orthodeuterium is the ground state of the deuterium molecule. (b) What are the allowed values of the orbital angular momentum quantum number
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ph135c_hw2 - Physics 135c H. W. Assignment 2 1.) Show that...

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