[ABSTRAK
Kuantisasi Lagrangian model point-coupling bergantung densitas menghasilkanLagrangian Hartree-Fock yang terdiri atas suku direct dan exchange.Identitas Fierz diaplikasikan pada suku exchange agar bisa disusun bersamadengan suku direct membentuk Lagrangian efektif. Dengan menggunakan persamaanEuler-Lagrange akan didapat persamaan gerak dan massa efektif sistem.Dari Hamiltonian sistem diperoleh energi ikat sistem per nukleon, massaefektif, tekanan dan kompresibilitas. Dari hasil yang diperoleh, kontribusisuku exchange kecil pada massa efektif nukleon materi nuklir simetrik. Namunpada keadaan lain, kontribusi yang signi kan terlihat pada energi ikatper nukleon di materi nuklir simetrik dan materi netron, massa efektif materinetron, dan energi ikat per nukleon pada densitas rendah dari materi netron.
ABSTRACT
Point-coupling model Lagrangian is quantized to obtain the Hartree-FockLagrangian which contained direct and exchange terms. Fierz identity appliedto the exchange term to be rearranged together with the direct term to obtainthe e ective Lagrangian. By using the Euler-Lagrange equation, we will obtainthe equation of motion and the e ective mass of the system. From the Hamiltonianwill obtain the binding energy per nucleon, e ective mass, pressureand compressibility. The results show that the exchange term contributionis small on nucleon e ective mass of symmetric nuclear matter. But in theother conditions, the signi cant contribution are observed on binding energyper nucleon of asymmetric nuclear matter, neutron e ective mass, and bindingenergy per nucleon in asymmetric nuclear matter in low density;Point-coupling model Lagrangian is quantized to obtain the Hartree-FockLagrangian which contained direct and exchange terms. Fierz identity appliedto the exchange term to be rearranged together with the direct term to obtainthe e ective Lagrangian. By using the Euler-Lagrange equation, we will obtainthe equation of motion and the e ective mass of the system. From the Hamiltonianwill obtain the binding energy per nucleon, e ective mass, pressureand compressibility. The results show that the exchange term contributionis small on nucleon e ective mass of symmetric nuclear matter. But in theother conditions, the signi cant contribution are observed on binding energyper nucleon of asymmetric nuclear matter, neutron e ective mass, and bindingenergy per nucleon in asymmetric nuclear matter in low density;Point-coupling model Lagrangian is quantized to obtain the Hartree-FockLagrangian which contained direct and exchange terms. Fierz identity appliedto the exchange term to be rearranged together with the direct term to obtainthe e ective Lagrangian. By using the Euler-Lagrange equation, we will obtainthe equation of motion and the e ective mass of the system. From the Hamiltonianwill obtain the binding energy per nucleon, e ective mass, pressureand compressibility. The results show that the exchange term contributionis small on nucleon e ective mass of symmetric nuclear matter. But in theother conditions, the signi cant contribution are observed on binding energyper nucleon of asymmetric nuclear matter, neutron e ective mass, and bindingenergy per nucleon in asymmetric nuclear matter in low density;Point-coupling model Lagrangian is quantized to obtain the Hartree-FockLagrangian which contained direct and exchange terms. Fierz identity appliedto the exchange term to be rearranged together with the direct term to obtainthe e ective Lagrangian. By using the Euler-Lagrange equation, we will obtainthe equation of motion and the e ective mass of the system. From the Hamiltonianwill obtain the binding energy per nucleon, e ective mass, pressureand compressibility. The results show that the exchange term contributionis small on nucleon e ective mass of symmetric nuclear matter. But in theother conditions, the signi cant contribution are observed on binding energyper nucleon of asymmetric nuclear matter, neutron e ective mass, and bindingenergy per nucleon in asymmetric nuclear matter in low density, Point-coupling model Lagrangian is quantized to obtain the Hartree-FockLagrangian which contained direct and exchange terms. Fierz identity appliedto the exchange term to be rearranged together with the direct term to obtainthe e ective Lagrangian. By using the Euler-Lagrange equation, we will obtainthe equation of motion and the e ective mass of the system. From the Hamiltonianwill obtain the binding energy per nucleon, e ective mass, pressureand compressibility. The results show that the exchange term contributionis small on nucleon e ective mass of symmetric nuclear matter. But in theother conditions, the signi cant contribution are observed on binding energyper nucleon of asymmetric nuclear matter, neutron e ective mass, and bindingenergy per nucleon in asymmetric nuclear matter in low density] |
T43226-Syaefudin Jaelani.pdf :: Unduh