Abstract
The effect of the Pauli exclusion principle on the nucleus-nucleus bare potential is studied using a new density-constrained extension of the Frozen-Hartree-Fock (DCFHF) technique. The resulting potentials exhibit a repulsion at short distance. The charge product dependence of this Pauli repulsion is investigated. Dynamical effects are then included in the potential with the density-constrained time-dependent Hartree-Fock (DCTDHF) method. In particular, isovector contributions to this potential are used to investigate the role of transfer on fusion, resulting in a lowering of the inner part of the potential for systems with positive Q-value transfer channels.
Highlights
A dream 16O+16OA dream shared by many theorists working on the quantum many-body problem is to find a way to describe the tunnelling this would oefnaabmleaanyfu-blloydmy iwcraovsec-ofupnicctdioesnc.riFpotiroFninuosltflaysnucmbe,icroscopic barrier fusion, without other parameters than thoaspeporfotahceh to energy density functional describing the interatcutinonebllei-ng!E ~ VB L=0 tween the nucleons
Microscopic descriptions of fusion reactions are based on mean-field approximations, such as the time-dependent Hartree-Fock (TDHF) theory, which do not account for tunnelling of the many-body wave function
Inter-nucleaRr(dfmis)tance R taking into account the Pauli exclusion principle exactly. It can be seen as the static counterpart of the well established density-constrained time-dependent Hartree-Fock (DCTDHF) method to compute instantaneous dynamical potentials in heavy-ion collisions [23]
Summary
A dream shared by many theorists working on the quantum many-body problem is to find a way to describe the tunnelling this would oefnaabmleaanyfu-blloydmy iwcraovsec-ofupnicctdioesnc.riFpotiroFninuosltflaysnucmbe-,icroscopic barrier fusion, without other parameters than thoaspeporfotahceh to energy density functional describing the interatcutinonebllei-ng!. Microscopic descriptions of fusion reactions are based on mean-field approximations, such as the time-dependent Hartree-Fock (TDHF) theory, which do not account for tunnelling of the many-body wave function This is because more than one mean-field is required to describe the outcome of a near-barrier reaction (one for the fused system and one for the outgoing fragments). .,FowritinhstanGcer,aaml-oSwcehrminigdtofalthgeorpitrhe-m), haseqbueielinbrciounmsiGdDerReden[1er9g–y2i1n].coTmhpeaprirsobnlwemithwthitehGthDiRs tienchniqauespihserthicaatl intuccalenuspcooteunldtibaellryelraetdeductoe athlaergneedckefodremnastiitoyninducoifntghetocoomlaproguendPasuyslitermep[u5l2s]i.on [22] Another traditional method is to increase the kinetic density ⌧(r) (e.g., via the Tho3m.2.a2s-FFeursmioin mhinoddrealn) c[e20a,nd21q]u.asTi-hfisissiomneitnhohde,avhyowever, neglects tshyestee↵mesct of the Pauli exclusion principle on other terms of the functional, such as the spin-orbit term which hasAbsemenenstihoonwednetaorlaiebr,sothreb paatlhartgoefupsaiortn osftrothneglyPaduelpiernedpsulscoiofomtnostehhyxnpee[shl2ttiinehrbc2emeuia]atc.tsmcefl,teuTaadfossnohisentrous↵santsh.nie,sehdctitcfhnculehtdesharaiPaaorrgnlnanyecuoejlonufifodshetuttehxesiaecnuvtlcffinoyuruscestcihiyaoleeessnniti.etqn.pmuIgnrasIistnnfihca-dcoeficeintpse,ktsdlauiie,conntnehtlhbitakmieescetewlalaecietnghmteheaenr-trogrye nuclei are still well separated when the fusion barrier is nism. Taking into account the Pauli exclusion principle exactly It can be seen as the static counterpart of the well established density-constrained time-dependent Hartree-Fock (DCTDHF) method to compute instantaneous dynamical potentials in heavy-ion collisions [23] (see section 5). A Pauli repulsion is observed inside the barrier, increasing its width
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
