NO₂ Excited State Properties Revisited: An Effect of Extra Compactified Dimensions

摘要

Experiments on NO₂ reveal a substructure underlying the optically excited isolated hyperfine structure (hfs) levels of the molecule. This substructure is seen in a change of the symmetry of the excited molecule and is represented by the two “states” src="Edit_4e233604-dbc8-46c0-8e32-b7398f8e14b8.bmp" alt="" /> and src="Edit_27ded9f4-8625-4c60-9ea4-1ba7cc667e63.bmp" alt="" /> of a hfs-level. Optical excitation induces a transition from the ground state src="Edit_b1834bd6-548b-4fe0-8888-7a15df67a51e.bmp" alt="" /> of the molecule to the excited state . However, the molecule evolves from src="Edit_2bca5e71-f6fb-45e1-8a1a-376443566ba1.bmp" alt="" /> to src="Edit_4f3fa107-e203-48c1-92a0-1ecc3e1dfddb.bmp" alt="" /> in a time τ₀ ≈ 3 style="white-space:nowrap;"> style="white-space:nowrap;">μs. Both src="Edit_2bca5e71-f6fb-45e1-8a1a-376443566ba1.bmp" alt="" style="white-space:normal;" /> and src="Edit_4f3fa107-e203-48c1-92a0-1ecc3e1dfddb.bmp" alt="" style="white-space:normal;" /> have the radiative lifetime τ_R ≈ 40 style="white-space:nowrap;"> style="white-space:nowrap;">μs, but src="Edit_4e233604-dbc8-46c0-8e32-b7398f8e14b8.bmp" alt="" style="white-space:normal;" /> and src="Edit_27ded9f4-8625-4c60-9ea4-1ba7cc667e63.bmp" alt="" style="white-space:normal;" /> differ in the degree of polarization of the fluorescence light. Zeeman coherence in the magnetic sublevels is conserved in the transition src="Edit_2bca5e71-f6fb-45e1-8a1a-376443566ba1.bmp" alt="" style="white-space:normal;" /> style="white-space:nowrap;"> style="white-space:nowrap;"> style="white-space:nowrap;"> style="white-space:nowrap;"> style="white-space:nowrap;">→ src="Edit_4f3fa107-e203-48c1-92a0-1ecc3e1dfddb.bmp" alt="" style="white-space:normal;" />, and optical coherence of src="Edit_b1834bd6-548b-4fe0-8888-7a15df67a51e.bmp" alt="" style="white-space:normal;" /> and src="Edit_4e233604-dbc8-46c0-8e32-b7398f8e14b8.bmp" alt="" style="white-space:normal;" /> is able to affect (inversion effect) the transition src="Edit_2bca5e71-f6fb-45e1-8a1a-376443566ba1.bmp" alt="" style="white-space:normal;" /> style="white-space:nowrap;"> style="white-space:nowrap;"> style="white-space:nowrap;"> style="white-space:nowrap;"> style="white-space:nowrap;">→ src="Edit_27ded9f4-8625-4c60-9ea4-1ba7cc667e63.bmp" alt="" style="white-space:normal;" />. This substructure, which is not caused by collisions with baryonic matter or by intramolecular dynamics in the molecule, contradicts our knowledge on an isolated hfs-level. We describe the experimental results using the assumption of extra dimensions with a compactification space of the size of the molecule, in which dark matter affects the nuclei by gravity. In src="Edit_b1834bd6-548b-4fe0-8888-7a15df67a51e.bmp" alt="" style="white-space:normal;" />, all nuclei of NO₂ are confined in a single compactification space, and in src="Edit_27ded9f4-8625-4c60-9ea4-1ba7cc667e63.bmp" alt="" style="white-space:normal;" />, the two O nuclei of NO₂ are in two different compactification spaces. Whereas src="Edit_b1834bd6-548b-4fe0-8888-7a15df67a51e.bmp" alt="" style="white-space:normal;" /> and src="Edit_27ded9f4-8625-4c60-9ea4-1ba7cc667e63.bmp" alt="" style="white-space:normal;" />represent stable configurations of the nuclei, src="Edit_2bca5e71-f6fb-45e1-8a1a-376443566ba1.bmp" alt="" style="white-space:normal;" />represents an unstable configuration because the vibrational motion in src="Edit_2bca5e71-f6fb-45e1-8a1a-376443566ba1.bmp" alt="" style="white-space:normal;" /> shifts one of the two O nuclei periodically off the common compactification space, enabling dark matter interaction to stimu