Effective Lambda-nucleon Interaction in Relativistic Mean Field Theory Approach
Hongfeng Lu
北京農業大学
日時：2008年08月01日（金） 14:00-
場所：大学院講義室（総合研究棟7階745号室）
Effective Lambda-nucleon interaction has been proposed inrelativistic mean field approach based on nucleon-nucleoninteraction PK1, by fitting single-lambda hypernuclei data along thehypernuclear chart. For a case of the omega-Lambda-Lambda tensorcoupling is considered or not, meson sigma-, omega-Lambdacouplings for Lambda-nucleon interaction are optimized to theexperimental Lambda binding energy for hypernuclei[12-14]_LambdaC, [14,15]_LambdaN, [16]_LambdaO, [28]_LambdaSi,[32]_LambdaS, [40]_LambdaCa, [51]_LambdaV, [89]_LambdaY,[139]_LambdaLa and [208]_LambdaPb. These two independenthyperon-nucleon parameters are locally searched by a least-squaresfit and later globally adjusted by a Levenberg-Marquardtminimization method while taking the obtained local minima asinitial values. Hpernuclear properties, e.g., single particleenergy, spin-orbit splitting of hyperon, from light to heavy massregion are presented. The results indicate that the newly developedinteraction provides an excellent systematical description ofhypernuclei. Effects of tensor coupling term on properties of Lambdahypernuclei, especially on delicate single particle properties, arealso discussed.