Combining electric and magnetic static field for the tuning of the lifetime of zero energy Feshbach resonances: Application to 3He+NH collisions

TL;DR

This paper investigates how combined electric and magnetic fields influence zero energy Feshbach resonances in 3He+NH collisions, providing analytical laws to predict their position and lifetime modifications, with potential experimental applications.

Contribution

It introduces a simple analytical model for predicting the shifts and lifetimes of Feshbach resonances under combined electric and magnetic fields in 3He+NH collisions.

Findings

Resonance positions follow a predictable analytical law with electric field.

Resonance lifetimes can be maximized by tuning electric and magnetic fields.

Good agreement between analytical predictions and close coupling calculations.

Abstract

We study the variation of the positions of two magnetically tuned Zero energy Feshbach resonances when a parallel superimposed electric field is applied. We show that their variation as a function of the electric field follows a simple analytical law and is then predictable. We find that depending on the initial state of the diatomic molecule the resonance is either shifted to higher or to lower values of the magnetic field when the electric field is applied. We calculate the Close Coupling lifetimes of these resonances and show that they also follow a simple law as a function of both the magnetic and the electric field. We demonstrate using this expression that the lifetime of the resonances can be maximised by choosing an appropriate value of the applied electric and found a good agreement with the results of our Close Coupling calculations. These results could be checked in future experiments dedicated to the 3He + NH collisions