Relation between (e, e′) sum rules in 6, 7Li and 4He nuclei: Experiment and cluster model

• Published in: The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2016, Vol.52 (9), p.1-7, Article 275
• Main Authors: Efros, V. D., Timchenko, I. S., Buki, A. Yu
• Format: Article
• Language: English
• Subjects: Clusters; Hadrons; Heavy Ions; Isotopes; Lithium isotopes; Mathematical models; Nuclear Fusion; Nuclear Physics; Nuclei; Nucleons; Particle and Nuclear Physics; Physics; Physics and Astronomy; Q values (nuclear physics); Qualitative analysis; Regular Article - Theoretical Physics; Sum rules; Sums
• ISSN: 1434-6001; 1434-601X
• DOI: 10.1140/epja/i2016-16275-x

. The sums over ( e , e′ ) spectra of 6 Li and 7 Li nuclei which correspond to the longitudinal sum rule are studied. It is suggested that due to the cluster structure of the lithium isotopes these sums may approximately be expressed in terms of such a sum pertaining to the -particle. Calculation of these sums is performed in the framework of cluster models with antisymmetrization done with respect to all the nucleons. At momentum transfers higher than 0.8 fm -1 the relations expressing the A = 6 or 7 sum in terms of the A = 4 sum prove to be valid with rather high accuracy. In the region of momentum transfers around 1 fm -1 the longitudinal correlation functions of 6 Li and 7 Li nuclei are found to be close to that of the -particle. Basing on this, the difference between the q values at which the high- q limit of the inelastic sum rule is reached in the 6, 7 Li cases and the 4 He case is explained. The experimental longitudinal sums in the range between 0.450 and 1.625 fm -1 are employed to perform comparison with the theoretical sum rule calculated in the framework of cluster models. Out of the experimental sums, those in the range between 0.750 and 1.000 fm -1 in the 6 Li case and between 0.750 and 1.125 fm -1 in the 7 Li case are obtained in the present work. In the 6 Li case a complete agreement between experiment and the calculated sum rule is found while in the 7 Li case an agreement only at a qualitative level is observed.