Analytical Solution for the Lineshape of PHIP Spectra Without Exchange

Analytical Solution for the Lineshape of PHIP Spectra Without Exchange 

In the case of a simple reaction from the para-H2 state to the product state it is possible to derive analytical solution of the lineshape of PHIP spectra [65]. In the following an alternative derivation of the lineshape is given. For simplicity the reaction is assumed as a one-way reaction, i.e. no back reaction ky O, a, b denote the two different sites). 

For the para-H2 state, the Hamiltonian is given as a pure A2 spin system. 

For the end product of the reaction a general liquid Hamiltonian is assumed 

The initial condition of the problem is that at the beginning all hydrogen atoms are in the singlet Sg state of the para-H2- 

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