microscopicdescriptionofthebreathingmodeandnuclear的呼吸模式和核的微觀描述(編輯修改稿)
2025-02-08 08:16 本頁面
【文章內(nèi)容簡介】 jji VVV ??rr,),(21 ?? jiVV rr Now we apply the variation principle to derive the HartreeFock equations. We minimize by varying with the constraint of particle number conservation, and obtain the HartreeFock equations ,? ??? t o t a lHE,)()(13,2? ? ? ????Aii Add rrrr??????).(39。)()39。()39。,()39。(39。)39。()()39。,()39。()(81*1*22rrrrrrrrrrrrrriijijjijiAjAjdVdVmh????????????????????????? ?? ???Ai ,..2,1?i?? For the twobody nuclear potential Vij, we take a Skyrme type effective NN interaction given by, The Skyrme interaction parameters (ti, xi, α, and Wo) are obtained by fitting the HF results to the experimental data. This interaction is written in terms of delta functions which make the integrals in the HF equations easier to carry out. .39。))(()(2)1(6139。)()1(]39。)()()[1(21)()1(03322221100ijjijiijjijiijijjiijijijjijiijijjiijijiWPxtPxtPxtPxtVkσσrrkrrrrkrrkkrrrrkrr????????????? ??????????????????????????)( ji rr ?? For a spherical case the HF equations can be reduced to, where the effective mass , the central potential , and the spinorbit potential are written in terms of the Skyrme parameters, matter density, charge density, and current density. ),()()(43)1()1()(81)()()(8)()1()()(8*2239。*222*22rRrRrWrlljjrmhdrdrrUrRrmhdrdrRrllrRrmh?????????????????????????????????????????????????????????????????????? ???)(* rm?)(rU? )(rW?Method of Solving the HF Equations With an initial guess of the singleparticle wave functions (usually the harmonic oscillator wave functions because they are known ana
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