مجله علوم، مهندسی و فناوری هسته‌ای

توسعه روش ترکیب تقارن‌ها در محاسبه آهنگ گذار چهار قطبی الکتریکی زنجیره ایزوتوپی کادمیوم

نوع مقاله : مقاله پژوهشی

نویسندگان

هادی صبری 1
علیرضا جباری 1
مسعود صیدی 2

1 دانشکده فیزیک، دانشگاه تبریز، صندوق پستی: 51664، تبریز – ایران

2 دانشکده علوم پایه، دانشگاه ایلام، صندوق پستی: 516-69315، ایلام - ایران

https://doi.org/10.24200/nst.2024.1521.1991
چکیده
در این مقاله، در چارچوب مدل اندرکنش بوزونی از روش ترکیب حدهای تقارنی (5)U و (6)SO برای محاسبه آهنگ گذارهای چهارقطبی الکتریکی بین ترازهای مختلف در زنجیره ایزوتوپی کادمیوم (Cd110-104) و در محدوده انرژی E<3MeV استفاده شده است. در این روش، تابع موج ترازهای مزاحم را به‌صورت ترکیبی از توابع موج در فضاهای N و 2+N بعدی در نظر گرفته شده و اثر عملگر گذار چهار قطبی الکتریکی بر روی آن‌ها تعیین شده است. ضرایب عملگر گذار از طریق برازش با مقادیر تجربی آهنگ‌های گذار چهار قطبی تعیین شده و نتایج حاصل از محاسبات نظری روش حد دینامیکی (5)U و روش ترکیب تقارن‌ها، با هم مقایسه گردید. نتایج حاصل بیانگر پیش‌بینی دقیق‌تر روش ترکیب تقارن‌ها در تمام گذارهای انتخابی نسبت به روش حد دینامیکی (5)U می‌باشد. در مقابل، پیش‌بینی حد دینامیکی (5)U تنها در بررسی گذارهای بین ترازهای باند پایه و ترازهای با نیمه‌عمر طولانی موفق بوده و وجود زیر لایه بسته نوترونی در هسته Cd106 را تأیید می‌نماید. همچنین، برای آن دسته از گذارهای بین باندهای انرژی مختلف و گذارهای حاصل از ترازهای مزاحم، دقت پیش‌بینی‌های مدل ترکیب تقارن‌ها مشهود می‌باشد.

کلیدواژه‌ها

ترکیب تقارن‌ها
آهنگ گذار چهار قطبی الکتریکی
تراز مزاحم
مدل اندرکنش بوزونی

عنوان مقاله English

Extension of mixed of symmetries method in the calculation of electric quadrupole transition rate of Cadmium isotopic chain

نویسندگان English

H. Sabri 1
A.R. Jabbari 1
M. Sayedi 2
1 Department of Physics, University of Tabriz, P.O.Box: 51664, Tabriz - Iran
2 Faculty of Basic Sciences, Ilam University, P.O.Box: 69315-516, Ilam - Iran
چکیده English

In this paper, in the framework of the interacting boson model (IBM), the method of mixed U(5) and SO(6) symmetry limits has been used to calculate the electric quadrupole transition rates between different levels in the isotopic chain of Cadmium (110-104Cd) and in the E < 3 MeV region. In this method, wave functions of different intruder levels are considered as a combination of wave functions in the two N and N+2 bosons spaces and the effect of electric quadrupole transition's operator is determined by them. The effective charges of the transition operator are extracted in comparison with the experimental values of the quadrupole transition rates and then, theoretical predictions of two methods, using only U(5) dynamical limit and mixed of symmetries are compared with each other. The results show that the accuracy of the predictions are increased via mixed of symmetries method in all of considered transitions. On the other hand, the U(5) dynamical limit is only successful in examining the quadrupole transitions between the levels of the ground band and levels with a longer half-life and confirms the existence of a closed neutron sub-shell in the 106Cd nucleus. Also, for such inter-bands transition and also transitions are originated from intruder states, the exactness of the mixed symmetries prediction are obvious.

کلیدواژه‌ها English

Mixed of symmetries
Electric quadrupole transition rate
Intruder state
Interacting boson model (IBM)
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