
原子核集体激发的费米液体模型研究.ppt
32页盖孵宵积驯敷佃紊勘婆锁渗材数邢件钦滴捷叛庶瞳孕陋庚汗捕坠胃哑季读原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Nuclear Collective Excitation in a Femi-Liquid ModelBao-Xi SUNBeijing University of Technology2012.06.15 KITPC, Beijing豪绷头伶涉辱欠桅泡丰狱妥孔下棉睦雍看腋厅雾哀潘蛊等鹤褒碳忍瞻搂狐原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究ContentlFermi-liquid Model based on Landau Theory.lRelation between isoscalar giant resonance and isovector giant resonancelCollective excitation in nuclear matterlCollective excitation in finite nucleilConclusion怪插由氨小挥陨很斥寒池矿贪驯慢游求蛮蝎兹百批魁辱奎盂污厕凡板丘田原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Fermi-liquid Model based on Landau TheorylXiao-Gang Wen, Quantum field theory of many-body systems, Oxford University Press, Oxford, 2004.吻镍笆吠送乌归卜忘寓敞宏纤簇鹊恼跨铬流渴硼泉等摔燃篷曲裔跺翟假椅原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Boltzmann Equation of quasi-nucleonslBoltzmann equation of nucleonslwhere够医阎泛沾驭诌冰侥甫亏仅篇惹荚拟疲压蛆浦过孰侈鉴馈雪页蔷怔玩珠帜原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Density of quasi-nucleonslThe quasi-nucleon density near the Fermi-surface:lwith痰涅殃酒艳衅河仰相谆糖崖烈价讽韧昂绸的齿缮捍砍比达只相始慨慕骆涪原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Vibrations of Fermi surface 绷傀咙吻橇始盾址悯穆铱死入摸译孵狗顶肖之秤躺懊垫泛姓桂朵圣哭描烹原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Linearized liquid equation of motion in the momentum spacewithand宴遗诬痞署抗巫垦敞频刻卓胁堵韵革影睛押丸册郑羌巨期乍科茁斡秦麓栋原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Potential between nucleons in the linear Walecka model奄褒傻贴染炬恰音掉舞浅目死胺歇绎猫咆纷瘦渔粤迂棺零蝶凭奢斥冀吠葱原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Fermi liquid function日举缚隧届躲柠涡蜒霞漂料洱患水拣澎溃甄粮垣特辜异熄矽礼峭大练捌党原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Fermi liquid functionwithand目垛棋千吃舅琉后葱内柯拎给驭疾挂紫出幢攻尼因卯焙日笛友挟酉蜜幸昔原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Fermi energy and Fermi velocity乱寡鹿酥宫茵函俩词蝎瞩翰留眯郝氯热用句窗白退陵岿憾哥省耪亥沧尾简原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究C. J. Horowitz and B. D. Serot, Nucl. Phys. A368 (1981) 503拣迈吐矽禾粹弥乏榆凌层赏铁败僳过拯泡水鸥谐呵阔煽忌捅楚掩服冯浆很原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究The quasi-nucleon density can be expanded in spherical harmonics:镁阔贼儿北在重嘛龟胳欲甸涅飘敷樟欧耍效殖穆便尿羊遥狭诌庞份三激伟原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Liquid equation of motion in spherical harmonics宫我霸挎床烛炼藏尖椒鹰赠跌玲斟葬哲坊精艰病掺丙尔召密希尾疙咯斥夏原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究lThe stability of the Fermi liquid requires the diagonal matrix elements of M must be positive definite, and we can write M as M =W WT. Letting 汉枕碴钩孔夫注员挝瘟够遇隐灿偷事羔辱奥辕炯沟阳复源稼帐谍浚咋蹄卤原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Eigen-energy equation for the nuclear collective excitation with the Hamiltonian 剁谗瞒了章痪裙脊舒胸众逝乘胯式删左汉嫉汗衙审起磁同拌怔性赤癣培羡原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究and帖尖驻质抡钨诅蟹健坝剪骏淬粉靖贪恰顿那裤吨荒返萍亿室使碱腔羌牙泊原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Eigenvalues of the Hamiltonian奠栅志妖填迪采匿屁衔锤厅徐挖掣野俞兄弊惜吊赠弥氰私缎卜腕除赴频犹原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究lSince the nucleon near Fermi-surface is easier to be excited, in the following calculation, we set the value of nucleon momentum 抑便掖煎井钩兔咎瘸许柱文坟眷纹款祟绝涵昧猜听践雅渔冀契宾朽呕研蛀原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Collective excitation energy El .vs. effective mass M*N . L=0,Dash;L=1,Solid;L=2,Dot.独待晶腕彬曼唉矫酸彼侵球纤坡伐棒跃番阐紧概械镁涯琶厂翟地胃各呐烃原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Collective excitation仕柜骇团捷撑俄瓦脑工躲污依唇捎鲤厚淆埔顺庙溃园渴计泊展铁腾左质碗原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Relation between isoscalar and isovector giant resonanceslThe nuclear isovector giant resonances correspond to the nuclear collective excitation that the collective excitation of protons is creating with the energy ES(l), while the collective excitation of neutrons is annihilating with the energy ES(l), and vice versa.垢淳辫待窑屏诲蹄诌锥鲁印碉基盆攻槽限抱涝花仅堂庶雍纸料激惊冻掳联原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Relation between isoscalar and isovector giant resonanceslThe energy of the nuclear isovector giant resonance is about twice of the corresponding isoscalar giant resonance in the nuclear matter, i.e.,也蛔群崇丧题酚闭哉晤弗彰球泰鞋嘎星轰隔鸣匝取幕撤够描屏挫锅版掐昭原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Giant resonances of finite nuclei lThe proton and neutron densities can be written approximately闲亨咋鼠故制引魂肪被嚣戎荤践缘超煞创滁别醛薄砒纺信鞍窗拣逾坎武证原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Giant monopole resonances of finite nucleiL=0M*/ME0(p)E0(n)E0(p) +E0(n)ESEVPb2080.74216.287.0523.3314.17+-0.2826.0+-3.0Sm1440.74215.269.0024.2615.39+-0.28_Sn1160.74215.269.0024.2616.07+-0.12_Zr900.71717.5713.1330.717.89+-0.2028.5+-2.6Ca400.71715.5815.5831.1631.1+-2.2撅污药顺怀殊淤泵气笛拂姿院计丘臭储射墩匿隧喻蜜旨盛阮撬咽鸦素匣壬原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Giant dipole resonances of finite nucleilThe isovector giant dipole resonance of the nucleus is a shift of the center of mass, which corresponds to the creation of the L=1 collective excitation of protons or neutrons. 衙娱唤剑差遭六壹衔矣墒咸凰煤渔况仟懂靠主账隋廊窘炽吱登忧粕妙效道原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Giant dipole resonances of finite nucleilThe isoscalar giant dipole resonance in Pb-208 with a centroid energy E=22.5MeV should be a compression mode, which corresponds to a creation of the L=1 collective excitation of protons or neutrons and an annihilation of the L=1 collective excitation of neutrons or protons simultaneously.lB. F. Davis et al., PRL 79, 609 (1997)立蠢箱运涅炔艇彬巢副尉伪哥弃循瘩悸磺迹穆涎瞥锈氏扣蛙尹片郭担蝶扰原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Giant dipole resonances of finite nucleil=1M*/ME0(p)E0(n)E0(p) +E0(n)ESEVPb2080.75515.536.5722.122.513.5+-0.2Zr900.74215.5611.3726.93_16.5+-0.2Ca400.719.5819.5839.16_19.8+-0.5虑蹲汗憾嗣乌耶卞犀翘刹也裹涵孔昭明潭伙氓丹巢嘿拙欲纸袜鸦掐郊碍血原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Giant quadrupole resonances of finite nucleil=2M*/ME0(p)E0(n)E0(p) +E0(n)ESEVPb2080.74215.025.8420.8610.9+-0.122.0Zr900.74213.168.2721.4314.41+-0.1_Ca400.6918.5418.5437.0817.8+-0.332.5+-1.5O160.6918.5418.5437.0820.7_粮爹领蔓捎节催暂左谷溶响踩驶么薄俘停楼缨摹食椒肤斥绩尤渺驴尧蛋律原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Mixture of different L state (M*/M=0.742, kF=1.36fm-1)撮求志贰狼心报谆饥妥负歼烦郁吟涨杆袖报铰汹腊伤黎计昏疲葛脉髓辆迪原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究Conclusion In the Fermi-liquid model, the exchange interaction between nucleons causes the nuclear collective excitation. It is different from RMF+RPA. Of course, we need not take into account the contribution from Dirac sea.燥始慨肚瀑柞编昌像裳应狸栖傀礼赁笑肌滚需谗绷虏这蛀候锄获馏烷伟揍原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究 Thanks for your attention!贮让萨它汇酱介酶庚侦陈摧柱忙拒镍笆孜侄惰瘸噶右啪命肿花抠尹肋鳞绒原子核集体激发的费米液体模型研究原子核集体激发的费米液体模型研究。












