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New Sum Rule for the Nuclear Magnetic Polarizability

2015/08/31 by Mikhail Gorchtein · 8 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Atomic physics #Deuterium #Dipole #Excited state #Giant resonance #Magnetic dipole #Nuclear physics #Nuclear physics research studies #Nuclear reaction #Nucleon #Nucleus #Particle physics #Photoexcitation #Photon #Physics #Polarizability #Quantum mechanics #Sum rule in quantum mechanics #Virtual particle #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevlett.115.222503

published in Physical Review Letters 115(22), 222503 (American Physical Society) · 5 pages, 2 figures, 1 table. Revised version submitted to Phys. Rev. Lett. Fig.1 changed, references added, acknowledgments expanded

arxiv created 2015/10/04 · openalex publication_date 2015/11/25 · arxiv updated 2015/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The well-known Levinger-Bethe photonuclear sum rule relates the strength of the photoexcitation of the giant dipole resonance in a nucleus to the number of nucleons in that nucleus. I extend this sum rule to the case of virtual photons and relate the size of the magnetic polarizability of a nucleus to the Q2 slope of the transverse virtual photoabsorption cross section integrated over the energy in the nuclear range. I check this sum rule for the deuteron where necessary data is available, discuss possible applications and connection with other sum rules postulated in the literature.

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