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ABSTRAKKuantisasi Lagrangian model point-coupling bergantung densitas menghasilkan
Lagrangian Hartree-Fock yang terdiri atas suku direct dan exchange.
Identitas Fierz diaplikasikan pada suku exchange agar bisa disusun bersama
dengan suku direct membentuk Lagrangian efektif. Dengan menggunakan persamaan
Euler-Lagrange akan didapat persamaan gerak dan massa efektif sistem.
Dari Hamiltonian sistem diperoleh energi ikat sistem per nukleon, massa
efektif, tekanan dan kompresibilitas. Dari hasil yang diperoleh, kontribusi
suku exchange kecil pada massa efektif nukleon materi nuklir simetrik. Namun
pada keadaan lain, kontribusi yang signikan terlihat pada energi ikat
per nukleon di materi nuklir simetrik dan materi netron, massa efektif materi
netron, dan energi ikat per nukleon pada densitas rendah dari materi netron.
ABSTRACTPoint-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the eective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the eective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, eective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon eective mass of symmetric nuclear matter. But in the
other conditions, the signicant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron eective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density;Point-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the eective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the eective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, eective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon eective mass of symmetric nuclear matter. But in the
other conditions, the signicant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron eective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density;Point-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the eective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the eective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, eective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon eective mass of symmetric nuclear matter. But in the
other conditions, the signicant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron eective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density;Point-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the eective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the eective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, eective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon eective mass of symmetric nuclear matter. But in the
other conditions, the signicant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron eective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density, Point-coupling model Lagrangian is quantized to obtain the Hartree-Fock
Lagrangian which contained direct and exchange terms. Fierz identity applied
to the exchange term to be rearranged together with the direct term to obtain
the eective Lagrangian. By using the Euler-Lagrange equation, we will obtain
the equation of motion and the eective mass of the system. From the Hamiltonian
will obtain the binding energy per nucleon, eective mass, pressure
and compressibility. The results show that the exchange term contribution
is small on nucleon eective mass of symmetric nuclear matter. But in the
other conditions, the signicant contribution are observed on binding energy
per nucleon of asymmetric nuclear matter, neutron eective mass, and binding
energy per nucleon in asymmetric nuclear matter in low density]