Photonuclear sum rules and the tetrahedral configuration of ${}^4$He

Abstract

Three well known photonuclear sum rules (SR), i.e. the Thomas-Reiche-Kuhn, the bremsstrahlungs and the polarizability SR are calculated for 4He with the realistic nucleon-nucleon potential Argonne V18 and the three-nucleon force Urbana IX. The relation between these sum rules and the corresponding energy weighted integrals of the cross section is discussed. Two additional equivalences for the bremsstrahlungs SR are given, which connect it to the proton-neutron and neutron-neutron distances. Using them, together with our result for the bremsstrahlungs SR, we find a deviation from the tetrahedral symmetry of the spatial configuration of 4He. The possibility to access this deviation experimentally is discussed.

arXiv comment13 pages, 1 table

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• Ab initio study of the photoabsorption of ${}^4$He
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• An efficient method for evaluating energy-dependent sum rules
• New Constraints on Radiative Decay of Long-Lived Particles in Big Bang Nucleosynthesis with New ${}^4$He Photodisintegration Data
• Benchmark calculations of electromagnetic sum rules with a symmetry-adapted basis and hyperspherical harmonics
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• Electric Dipole Polarizabilities of Hydrogen and Helium Isotopes
• Is the first excited state of the $\alpha$-particle a breathing mode?
• Photodisintegration of light nuclei for testing a correlated realistic interaction in the continuum
• The nuclear electric polarizability of 6He
• Long Range Tensor Correlations in Charge and Parity Projected Fermionic Molecular Dynamics
• Direct ab initio calculation of the ${}^4$He nuclear electric dipole polarizability