Çekirdek taban hal korelasyonları ve toplam kuralları
Ground state correlations in nuclei and sum rules
- Tez No: 152749
- Danışmanlar: PROF. DR. ALİ EKBER KULİEV
- Tez Türü: Doktora
- Konular: Matematik, Mathematics
- Anahtar Kelimeler: RP A, FR-QRPA, çekirdek kolektif uyarılmaları, makas mod, kuaziparçacık sayısı, manyetik dipoî geçişleri, toplam kuralları, rezidü teoremi, deformasyon parametresi. Dönme değişmez Rasgele Faz Yaklaşımı (QRPA)
- Yıl: 2004
- Dil: Türkçe
- Üniversite: Sakarya Üniversitesi
- Enstitü: Fen Bilimleri Enstitüsü
- Ana Bilim Dalı: Matematik Ana Bilim Dalı
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: Belirtilmemiş.
Özet
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Özet (Çeviri)
Quasi-Particle Random Phase Approximation (QRPA) is based on the quasi-boson approach (QBA), which treats the two quasiparticle states as bosons. An improvement of this approach is the renormalized QRPA (R-QRPA), which takes into account the Pauli principle for the fermion quasiparticle pairs in the correlated ground state. But R-QRPA violates the Ikeda Sum Rule (ISR), which is fulfilled within QRPA and must be fulfilled for an exact solution. Recently an approach, called Fully Renormalized QRPA (FR-QRPA), has been developed, which takes into account the Pauli principle in the ground state and fulfills the Ikeda sum rule. In the present thesis a new rotational invariant model of the 1+ states is formulated within FR-QRPA and is studied for deformed nuclei 150Nd, 154Sm and 168Er. Two different Hamiltonians for describing the nucleons and their interaction are used. One separates the spurious rotational state with the angular momentum projection on the symmetry axis K* = 1+ and moves it to energy zero, since the Hamiltonian is constructed to be rotational invariant. The second Hamiltonian mixes the spurious rotational state with different vibrational states having the same quantum numbers. The low-lying excited states are the famous scissors mode. The ground state correlations (GSC) measured by the number of quasiparticles in the ground state are studied for the Hamiltonians within the QRPA, the R-QRPA and the FR-QRPA approaches. The present investigation demonstrates the advantage of the FR-QRPA over the other approaches. Within the rotational invariant model FR-QRPA the ground state correlations are stronger than in R-QRPA. They are increased by about 20%. The spurious rotational state contributes in FR-QRPA more than 50% of the total number of quasiparticles in the ground state of the nuclei considered. The Energy Weighted Sum Rule (EWSR) of Ml transitions has been generalized for magnetic dipole transitions between states with different shapes. The results of numeric calculations explain the quenching effects of Ml transitions observed in photon, (e,e') and (p,p') scattering reactions. viu
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