The transition energy between Imax and (Imax − 2)1 states in f n 7/2...

INELASTIC LONGITUDINAL C6 ELECTRON SCATTERING FORM FACTORS IN Ti-50, (RESIDUAL INTERACTION CONSIDERATION)

Article

Mar 2024

The single orbit 1f7/2 has been adopted as a model space. The use of modern realistic M3Y effective nucleon- nucleon interaction with two sets of fitting parameters (Ried fitting (M3Y-P1), and Paris fitting (M3Y-P0)) beside the use of MSDI has been done as a residual interactions within the calculation of core polarization effects in Inelastic longitudinal electron scattering C6 form factor in Ti-50 within the framework of first order perturbation theory (microscopic theory) with 2ћω excitation energy coupling the core orbits to the higher configurations one across the model space at normal transition. Harmonic oscillator wave functions (H.O) has been adopted as a single particle wave functions in 1f7/2 and with the aid of F7MBZ model space 1f7/2 effective interaction to generate the model space wave functions. The present results have been compared with

INELASTIC LONGITUDINAL C6 ELECTRON SCATTERING FORM FACTORS IN Ti-50, (RESIDUAL INTERACTION CONSIDERATION)

Research

Full-text available

Jan 2012

The single orbit 1f 7/2 has been adopted as a model space. The use of modern realistic M3Y effective nucleon-nucleon interaction with two sets of fitting parameters (Ried fitting (M3Y-P1), and Paris fitting (M3Y-P0)) beside the use of MSDI has been done as a residual interactions within the calculation of core polarization effects in Inelastic longitudinal electron scattering C6 form factor in Ti-50 within the framework of first order perturbation theory (microscopic theory) with 2ћω excitation energy coupling the core orbits to the higher configurations one across the model space at normal transition. Harmonic oscillator wave functions (H.O) has been adopted as a single particle wave functions in 1f 7/2 and with the aid of F7MBZ model space 1f 7/2 effective interaction to generate the model space wave functions. The present results have been compared with the experimental data. C6 form factor calculated with core polarization , M3Y as a residual interaction. ‫التشكل‬ ‫امل‬ ‫عو‬ ‫لال‬ ‫االقطاب‬ ‫متعدده‬ ‫المرنو‬ ‫غير‬ ‫الطوليو‬ ‫االلكترونيو‬ ‫ستطاره‬ C6 ‫اة‬ ‫لنو‬ Ti-50 ‫البقيو)‬ ‫تفاعل‬ ‫ات‬ ‫أعتبار‬ (‫أديب‬ ‫محمد‬ ‫ناديو‬ ‫مجيد,‬ ‫زىير‬ ‫اس‬ ‫فر‬ , ‫قاسم‬ ‫الصاحب‬ ‫عبد‬ ‫أالء‬ ‫بغداد‬ ‫بغداد.‬ ‫جامعة‬ ‫العموم،‬ ‫كمية‬ ‫ياء،‬ ‫الفيز‬ ‫قسم‬-‫اق‬ ‫العر‬ ‫الخالصو‬ ‫مم‬ ‫م‬ ‫ت‬ ‫مرد‬ ‫م‬ ‫ف‬ ‫الم‬ ‫مدار‬ ‫م‬ ‫الم‬ ‫ماد‬ ‫م‬ ‫أعتم‬ 2 / 7 F 1 ‫أ‬ ‫اءأ‬ ‫ف‬ ‫أموذج‬ ‫كأ‬ ‫مو‬ ‫م‬ ‫م‬ ‫يو‬ ‫مو‬ ‫م‬ ‫يوكمي‬ ‫ال‬ ‫ميو‬ ‫م‬ ‫ب‬ ‫مالر‬ ‫م‬ ‫الم‬ ‫اقعث‬ ‫مو‬ ‫م‬ ‫ال‬ ‫مو‬ ‫م‬ ‫التفاع‬ ‫متادام‬ ‫م‬ ‫أس‬ ‫ميم‬ ‫م‬ ‫م‬ ‫الفص‬ Y 3 M ‫مو‬ ‫م‬ ‫م‬ ‫مو‬ ‫م‬ ‫م‬ ‫م‬ ‫م‬ ‫م‬ ‫م‬ ‫ول‬ ‫ا‬ ‫مب‬ ‫م‬ ‫م‬ ‫ال‬ ‫مو‬ ‫م‬ ‫م‬ ‫ام‬ ‫عو‬ ‫مو‬ ‫م‬ ‫م‬ ‫م‬ ‫موعتيو‬ ‫م‬ ‫م‬ ‫مجم‬ ‫مج‬ ‫م‬ ‫م‬ ‫اق‬ ‫بو‬ ‫و‬ siraP ‫مو‬ ‫م‬ ‫م‬ ‫مو‬ ‫م‬ ‫م‬ ‫م‬ ‫مرن‬ ‫م‬ ‫م‬ ‫ا‬ ‫ا‬ ‫و‬ daiR ‫مب‬ ‫الم‬ ‫مو‬ ‫التفاع‬ ‫متادام‬ ‫أس‬ ‫ال‬ ‫اف‬ ‫با‬ MDSM ‫م‬ ‫اليم‬ ‫ا‬ ‫متي‬ ‫أس‬ ‫ا‬ ‫لير‬ ‫م‬ ‫ت‬ ‫مابا‬ ‫اس‬ ‫متو‬ ‫ا‬ ‫مو‬ ‫م‬ ‫م‬ ‫بيي‬ ‫ماعت‬ ‫كتف‬ ، ‫ع‬ ‫مث‬ ‫ف‬ ‫ما‬ ‫ق‬ ‫ا‬ ‫مددل‬ ‫المتع‬ ‫و‬ ‫م‬ ‫المر‬ ‫مر‬ ‫لي‬ ‫م‬ ‫ي‬ ‫لكترو‬ ‫ا‬ ‫ل‬ ‫ار‬ ‫مت‬ ‫لتس‬ ‫مث‬ ‫الكم‬ ‫ما‬ ‫الاس‬ ‫م‬ ‫ممي‬ 6 C ‫ا‬ ‫مو‬ ‫مث‬ ‫ف‬ Ti-50 ‫مث‬ ‫ف‬ ‫ا‬ ‫ي‬ ‫ظر‬ ‫ل‬ ‫العام‬ ‫ار‬ ‫ا‬ ‫ا‬ ‫مدار‬ ‫مي‬ ‫ميم‬ ‫تي‬ ‫م‬ ‫اق‬ ‫ب‬ ‫و‬ ‫ول‬ ‫ا‬ ‫تب‬ ‫المر‬ ‫ذي‬ ‫ا‬ ‫ر‬ 2ћω ‫م‬ ‫اليم‬ ‫م‬ ‫ألمف‬ ‫ب‬ ‫مر‬ ‫ت‬ ‫مث‬ ‫الت‬ ‫و‬ ‫م‬ ‫أعتم‬ ‫مم‬ ‫ت‬ ‫و‬ ‫ما‬ ‫كم‬. ‫موذجث‬ ‫م‬ ‫ا‬ ‫ماء‬ ‫الف‬ ‫مر‬ ‫عب‬ ‫ما‬ ‫العمي‬ ‫التشكيت‬ ‫مج‬ ‫الاامو‬ ‫ميم‬ ‫لمجس‬ ‫م‬ ‫كدال‬ ‫افيث‬ ‫مو‬ ‫الت‬ ‫مذ‬ ‫المتذب‬ ‫او‬ ‫دو‬ ‫اد‬ ‫و‬ ‫مو‬ ‫المالر‬ ‫التفاعو‬ ‫أعتماد‬ ‫و‬ ‫فرد‬ ‫الم‬ F7MBZ ‫ماء‬ ‫الف‬ ‫موذج‬ ‫أل‬ ‫مالر‬ ‫كتفاعو‬ 1f 7/2 ‫او‬ ‫مدو‬ ‫ال‬ ‫مد‬ ‫لتولي‬ ‫م‬ ‫ذل‬ ‫و‬ ‫تائم‬ ‫ال‬ ‫ميار‬ ‫تم‬ ‫اء.‬ ‫الف‬ ‫موذج‬ ‫ب‬ ‫الااص‬ ‫الموجي‬ ‫الاالية‬. ‫العممي‬ ‫يا‬ ‫المع‬ ‫مج‬ Majeed et.al

f 7/2 1d 3/2 MODEL SPACE AND INELASTIC LONGITUDINAL C6 ELECTRON SCATTERING FORM FACTORS IN Ti-50.

Research

Full-text available

Jan 2012

Firas Zuhair Majeed

Skakura Arima Sebe "SAS" has been adopted as an effective interaction to generate the model space 1f 7/2 1d 3/2 wave functions with Harmonic oscillator wave functions (H.O) as a single particle wave function to study inelastic longitudinal C6 electron scattering form factors in Ti-50. The modern realistic M3Y effective nucleon-nucleon interaction with two sets of fitting parameters (Ried fitting (M3Y-P1), and Paris fitting (M3Y-P0)) is used. The adjustable interaction "MSDI" has been used as a residual interactions in the calculation of core polarization effects within the framework of first order perturbation theory with 2ћω excitation energy coupling the core orbits to the higher configurations one across the mo del space at normal transition. Theoretical results have been compared with the experimental data. PACS:25.30.Dh;21.60.Cs;27.30.+t. Key words:F7 MB2, C6,Form Factors, 50Ti,M3Y. ‫الثانويو‬ ‫االغلفو‬ 1d 3/2 2 / 7 f 1 ‫كأن‬ ‫ل‬ ‫التشكل‬ ‫عوامل‬ ‫دراسو‬ ‫و‬ ‫فضاء‬ ‫موذج‬ ‫الطوليو‬ ‫االلكترونيو‬ ‫الستطاره‬ ‫االقطاب‬ ‫متعدده‬ ‫المرنو‬ ‫غير‬ C6 ‫لنواة‬ Ti-50 ‫البقيو)‬ ‫تفاعل‬ ‫أعتبارات‬ (‫قاسن‬ ‫الصاحب‬ ‫عبد‬ ‫أالء‬ ‫و‬ ‫هجيد‬ ‫زهير‬ ‫فراش‬ ‫,جا‬ ‫الفيسياء‬ ‫قسن‬ ‫العلوم,‬ ‫كلية‬ ‫,بغداد‬ ‫بغداد‬ ‫هعة‬-‫العراق.‬ ‫ال‬ ‫خالصة‬ ‫نوع‬ ‫من‬ ‫المؤثر‬ ‫التفاعل‬ ‫أعتماد‬ SAS ‫الفضاء‬ ‫ألنموذج‬ ‫مؤثر‬ ‫كتفاعل‬ 1d 3/2 1f 7/2 ‫ال‬ ‫الدو‬ ‫لتوليد‬ ‫تم‬ ‫المنفرد.‬ ‫لمجسيم‬ ‫كدالو‬ ‫افقي‬ ‫التو‬ ‫المتذبذب‬ ‫ال‬ ‫دو‬ ‫أعتماد‬ ‫مع‬ ‫المذكور‬ ‫الفضاء‬ ‫بأنموذج‬ ‫الخاصو‬ ‫الموجيو‬ ‫المؤث‬ ‫اقعي‬ ‫الو‬ ‫التفاعل‬ ‫أستخدام‬ ‫الفصيمو‬ ‫من‬ ‫النيوكميونين‬ ‫بين‬ ‫ر‬ Y 3 M ‫الضبط‬ ‫امل‬ ‫عو‬ ‫من‬ ‫مجموعتين‬ ‫اقع‬ ‫بو‬ ‫و‬ ‫نوع‬ ‫من‬ ‫االولى‬ siraP ‫نوع‬ ‫من‬ ‫االخرى‬ ‫و‬ daiR ‫المضبط‬ ‫التفاعل‬ ‫أستخدام‬ ‫الى‬ ‫باالضافو‬ MDSM ‫كتفاعل‬ , ‫تأثير‬ ‫حسابات‬ ‫في‬ ‫متبقي‬ ‫الم‬ ‫من‬ ‫كتصحيح‬ ‫القمب‬ ‫أستقطاب‬ ‫ات‬ ‫ر‬ ‫ه‬ ‫لالستطار‬ ‫التشكل‬ ‫امل‬ ‫عو‬ ‫اسو‬ ‫لدر‬ ‫االولى‬ ‫تبو‬ ‫االل‬ ‫االقطاب‬ ‫المتعدده‬ ‫و‬ ‫نو‬ ‫المر‬ ‫غير‬ ‫كترونيو‬ 6 C ‫اة‬ ‫نو‬ ‫في‬ Ti-50 ‫مقدارىا‬ ‫تييج‬ ‫بطاقو‬ ‫و‬ 2ћω ‫التي‬ ‫و‬ ‫م‬ ‫الخامل‬ ‫القمب‬ ‫أغمفو‬ ‫بط‬ ‫تر‬ ‫انموذج‬ ‫عبر‬ ‫العميا‬ ‫التشكيالت‬ ‫ع‬ ‫الفضاء‬ ‫المعطيات‬ ‫مع‬ ‫يو‬ ‫النظر‬ ‫النتائج‬ ‫نو‬ ‫مقار‬ ‫تمت‬. ‫العمميو‬ Majeed and Qassim 808 Introduction With electron scattering, one can immediately relate the cross section to the transition matrix elements of the local charge and current density operators and thus directly to the structure of the target itself. Of course, the same considerations apply to processes involving real photons, but electrons have the second great advantage that for a fixed energy loss of the electron, one can vary the three-momentum transferred (q) to the nucleus, the only restriction being that the four momentum transfer be space-like [1]. Theoretical solutions to the nuclear many-body problem are partly phenomenological, and thus theory and experiment are closely tied together. Theory takes its inspiration from experiment in guiding the structure of the models and their parameters; the nuclear shell model is the primary example. Nuclear experiment takes its inspiration from theory in helping to choose which experiments are most important to prove or disprove model assumptions [2]. Through microscopic theory, the discarded space are include as a first order perturbation through particle hole state (p-h), and using mixing interaction in order to calculate these effects as a residual interaction, some of the most widely mixing interaction used to calculate this effect are (modifed-surface delta function interaction (MSDI)[3], Michigan sum of three-range Yukawa potential (M3Y)[4], Skyrme-type hamiltonian (SKX)[5], Skyrme-type hamiltonian (MSK7)[6],Dirac-Hartree hamiltonian (NL3)[7], Gogny interactions D1S[8] and the process is called Core polarization (C P). Differential cross sections for inelastic

Nuclear Structure and Decay Data for A=44 Isobars

Article

Aug 2023
NUCL DATA SHEETS

STUDIES OF 44Ti AND 48Cr NUCLEI WITHIN VARIATIONAL MEAN FIELD THEORY

Article

Jan 2012
INT J MOD PHYS E

We have studied the nuclear structure properties of high angular momentum states in N = Z, 44Ti, and 48Cr nuclei by using Hartree–Fock–Bogoliubov (HFB) method with variation after angular momentum projection (VAP-HFB) technique. Effect of Kuo–Brown "KB" and its modified effective interactions has been studied using four sets of single-particle energies (SPEs) on rotational bands of these nuclei. It is seen that the HFB theory with projected wave functions by employing the VAP method describes well the overall trends of the experimental yrast level spectrum and the transition probabilities in these nuclei. The backbending of the 48Cr nucleus has been well reproduced by the present VAP-HFB calculations with the original "KB" effective interaction at J = 12ℏ. The modified effective interaction also gives backbending for 48Cr but at J = 10ℏ. The shape change associated with backbending effect in 48Cr is due to the large decrease in B(E2↓) values beyond J = 12ℏ state.

Deformations and magnetic rotations in the^{60} Ni nucleus

Article

Nov 2008
PHYS REV C

Data from three experiments using the heavy-ion fusion evaporation-reaction 36Ar+28Si have been combined to study high-spin states in the residual nucleus 60Ni, which is populated via the evaporation of four protons from the compound nucleus 64Ge. The GAMMASPHERE array was used for all the experiments in conjunction with a 4π charged-particle detector arrays (MICROBALL, LUWUSIA) and neutron detectors (NEUTRON SHELL) to allow for the detection of γ rays in coincidence with the evaporated particles. An extended 60Ni level scheme is presented, comprising more than 270γ-ray transitions and 110 excited states. Their spins and parities have been assigned via directional correlations of γ rays emitted from oriented states. Spherical shell-model calculations in the fp-shell characterize some of the low-spin states, while the experimental results of the rotational bands are analyzed with configuration-dependent cranked Nilsson-Strutinsky calculations.

Loss of collectivity in the transitional^{156} Er nucleus at high spin

Article

Apr 2009
PHYS REV C

The 114Cd(48Ca,6nγ) reaction at 215 MeV has been investigated using the Gammasphere spectrometer to study the high-spin structure of the nucleus 68156Er88. Many new transitions have been established along with definitive spin-parity level assignments from a high-fold angular-distribution analysis. In addition, absolute B(M1) and B(E1) strengths have been inferred from measured γ-ray branching ratios. Strong B(E1) strength (10-3 W.u.) is discussed in terms of possible octupole collectivity at low spin. At high spin, this nucleus undergoes a Coriolis-induced shape transition from a prolate state of collective rotation to a noncollective, triaxial-oblate configuration. The yrast positive-parity structure ultimately terminates in an energetically favored oblate state at Iπ=42+. Several weak high-energy γ-ray transitions have been discovered that feed this favored state. State-of-the-art cranked Nilsson-Strutinsky calculations are used to interpret the high-spin behavior of 156Er and comparisons are made with other N=88 isotones.

Seven-quasiparticle bands in^{139} Ce

Article

May 2009
PHYS REV C

The high spin states in the 139Ce nucleus have been studied by in-beam γ-spectroscopic techniques using the reaction 130Te(12C,3n)139Ce at Ebeam=65 MeV. A gamma detector array, consisting of five Compton-suppressed Clover detectors was used for coincidence measurements. 15 new levels have been proposed and 28 new γ transitions have been assigned to 139Ce on the basis of γγ coincidence data. The level scheme of 139Ce has been extended above the known 70 ns 19/2- isomer up to ~6.1 MeV in excitation energy and 35/2ℏ in spin. The spin-parity assignments for most of the newly proposed levels have been made using the deduced Directional Correlation from Oriented states of nuclei (DCO ratio) and the Polarization Directional Correlation from Oriented states (PDCO ratio) for the de-exciting transitions. The observed level structure has been compared with a large basis shell model calculation and also with the predictions from cranked Nilsson-Strutinsky (CNS) calculations. A general consistency has been observed between these two different theoretical approaches.

Contradicting effective mass scalings in the single-particle spectra calculated using the Skyrme energy density functional method

Article

Full-text available

Jul 2008
PHYS REV C

The problem of the effective mass scaling in the single-particle (s.p.) spectra calculated within the Skyrme energy density functional (EDF) method is studied. It is demonstrated that for specific pairs of orbitals like 1d{sub 3/2}-1f{sub 7/2} the commonly anticipated isoscalar effective mass (m*) scaling of the s.p. level splittings is almost canceled by an implicit m* scaling present in the two-body spin-orbit (SO) strength. On the other hand, the {nu}f{sub 7/2}-{nu}f{sub 5/2} SO splitting depends solely on the SO strength. Hence, two conflicting scaling properties appear to be at work in standard Skyrme EDF, making the theory internally inconsistent with respect to s.p. energies. It is argued that this unphysical property is, to a large extent, a consequence of the strategies and data sets used to fit these functionals. The inclusion of certain s.p. spin-orbit splittings to fit the two-body spin-orbit and the tensor interaction strengths reinstates the conventional m* scaling and improves the performance of the Skyrme EDF.

Isospin-symmetry restoration within the nuclear density functional theory: Formalism and applications

Article

Full-text available

Dec 2009
PHYS REV C

Isospin symmetry of atomic nuclei is explicitly broken by the charge-dependent interactions, primarily the Coulomb force. Within the nuclear density functional theory, isospin is also broken spontaneously. We propose a projection scheme rooted in a mean field theory, that allows the consistent treatment of isospin breaking in both ground and exited nuclear states. We demonstrate that this scheme is essentially free from spurious divergences plaguing particle-number and angular-momentum restoration approaches. Applications of the new technique include excited high-spin states in medium-mass N=Z nuclei, such as superdeformed bands and many-particle-many-hole terminating states. Comment: 13 pages, 7 figures, submitted to Phys. Rev. C

The transition energy between Imax and (Imax − 2)1 states in f n 7/2 (top) and d −1 3/2 f n+1 7/2

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