عنوان البحث(Papers / Research Title)
Full fp-shell model calculations for even-even 48-56Ti isotopes
الناشر \ المحرر \ الكاتب (Author / Editor / Publisher)
فؤاد عطية مجيد
Citation Information
فؤاد,عطية,مجيد ,Full fp-shell model calculations for even-even 48-56Ti isotopes , Time 5/2/2011 8:25:42 PM : كلية التربية للعلوم الصرفة
وصف الابستركت (Abstract)
Full fp-shell model calculations using Oxbash code
الوصف الكامل (Full Abstract)
Abstract:
The level schemes and transition rates B(E2;up) of eve-even 48-56Ti isotopes were studied by performing largescale shell model calculations with FPD6 and GXPF1 effective interactions. Excellent agreement were obtained by comparing the first 2+ level for all isotopes with the recently available experimental data, but studying the transition strengths B(E2; 0+: --------2+) 1 ) for all Ti isotopes using constant proton-neutron effective charges prove the limitations of the present large-scale calculations to reproduce the experiment in detail.
INTRODUCTION
The structure of neutron-rich nuclei has recently become the focus of much theoretical and experimental effort. Central to the on-going investigation is the expectation that substantial modifications can occur to the intrinsic shell structure of nuclei with a sizable neutron excess [1]. Interactions between protons and neutrons have been also invoked to account for the presence of a sub-shell gap at N=32 in neutron-rich nuclei located in the vicinity of the doublymagic nucleus 48Ca [2]. Full p f -shell model study of A=48 nuclei were performed by Caurier and Zuker [3] by modifying Kuo-Brown (KB) [4] to KB1 and KB3. The isobaric chains A=50, A=51 and A=52 studied by Poves et al. [5] using KB3 and FPD6 [6] and their new released version KB3G.
Reduced transition probabilities to the first 2+ state in 52;54;56Ti and the development of shell closure at N=32, 34 were studied by Dinca et al. [7] both experimentally and theoretically using the most recently modified interaction labeled GXPF1A done by Honma et al. [9]. They confirm the presence of a sub-shell closure at neutron number N=32 in neutron-rich Ti nuclei above 48Ca and this observation are in agreement with the shell model calculations using the most recent effective interaction, also they conclude that the data do not provide any direct indication of the presence of additional N=34 sub-shell gap in the Ti isotopes and that the measured B(E2; 0+ ---------2+) probabilities highlight the limitations of the present large-scale calculations as they are unable to reproduce in detail the magnitude of the transition rates in semimagic nuclei and their strong variation across the neutron-rich Ti isotopes.
The purpose of this letter is to study the reduced transition probabilities and level schemes of even-even 48?56Ti isotopes using the new version of OXBASH for windows [10]. The level schemes of selected states of 54Ti and 56Ti calculated in this work compared with the most recently available experimental data and with the previous theoretical work in Ref.[9] using GXPF1A, GXPF1 and KB3G interactions.
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This work in published in (Brazilian Journal of Physics) Brazilian Journal of Physics, vol. 36, no. 1B, March, 2006 www.sbfisica.org.br/bjp/files/v36_229.pdf
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