6533b7d4fe1ef96bd1263501
RESEARCH PRODUCT
Non-symmetrized Hyperspherical Harmonics Method for Non-equal Mass Three-Body Systems
Alessia NanniniAlessia NanniniLaura Elisa MarcucciLaura Elisa Marcuccisubject
3HeProtonMaterials Science (miscellaneous)hypertritonBinding energyBiophysicsGeneral Physics and AstronomyLambda01 natural sciencesthree-body systemstriton0103 physical sciencesNeutronhypersperical harmonics methodPhysical and Theoretical Chemistry010306 general physicsMathematical PhysicsMathematical physicsPhysics010308 nuclear & particles physicslight nucleiOrder (ring theory)Hypernucleuslcsh:QC1-999Harmonicslcsh:PhysicsHypertritondescription
The non-symmetrized hyperspherical harmonics method for a three-body system, composed by two particles having equal masses, but different from the mass of the third particle, is reviewed and applied to the $^3$H, $^3$He nuclei and $^3_{\Lambda}$H hyper-nucleus, seen respectively as $nnp$, $ppn$ and $NN\Lambda$ three-body systems. The convergence of the method is first tested in order to estimate its accuracy. Then, the difference of binding energy between $^3$H and $^3$He due to the difference of the proton and the neutron masses is studied using several central spin-independent and spin-dependent potentials. Finally, the $^3_{\Lambda}$H hypernucleus binding energy is calculated using different $NN$ and $\Lambda N$ potential models. The results have been compared with those present in the literature, finding a very nice agreement.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-11-08 | Frontiers in Physics |