نوع مقاله: مقاله پژوهشی
نویسندگان
گروه فیزیک، دانشگاه صنعتی ارومیه، صندوق پستی: 57157-419، ارومیه ـ ایران
چکیده
بررسی پایداری ساختار هستهای به عنوان یک سیستم بس- ذرهای اهمیت ویژهای در فیزیک هستهای دارد. آگاهی از خواص آماری و گذارهای فاز میتواند اطلاعات مفیدی را در ارتباط با ساختار و فرایندهای هستهای به همراه داشته باشد. خواص آماری مجموعه ترازهای انرژی یک سیستم به خوبی با معیار جدیدی تحت عنوان نظریهی ماتریس تصادفی در آشوب کوانتومی توضیح داده میشود. افت و خیز ترازهای انرژی
سیستمهای کوانتومی بسته به تقارنهای هامیلتونی در یکی از مجموعههای متعامد (GOE)، یکانی (GUE) و همتافته(GSE)ی گاوسی قرار میگیرد و اگر یک سیستم کوانتومی در ناحیهی انتگرالپذیر قرار داشته باشد در مجموعههای پواسونی قرار خواهدگرفت. تحلیل آماری ترازهای انرژی توسط نظریهی ماتریس تصادفی با محاسبهی ویژه- مقدارهای هامیلتونی سیستم امکانپذیر خواهد بود. یکی از مناسبترین زنجیرهها برای درک ساختار
هستهها زنجیرهی کلسیم است که در اعداد دوبار جادویی نیز نقش بازی می‌کند. مقالهی حاضر با به کارگیری مدل پوستهای هسته به کمک نظریهی آشوب کوانتومی به بررسی پایداری در ساختار هستهای ایزوتوپ‌های 50Ca و48Ca می‌پردازد. یافتهها با نتایج تجربی به دست آمده در آزمایشگاه ایزولد- سرن مقایسه شده است.
کلیدواژه‌ها
عنوان مقاله [English]
Stability Analysis of the Nuclear Structure as a Many Body System by Using Quantum Chaos Theory
نویسندگان [English]
- S Behnia
- V Razazi
چکیده [English]
Stability analysis of the nuclear structure as a many-body system has a particular importance in nuclear physics. Understanding its statistical properties and also phase transitions provide useful information about nuclear structure and nuclear processes. The statistical properties of the set of energy levels of a system are well described by random matrix theory in quantum chaos. Resonance of energy levels depends on the Hamiltonian symmetry that placed in one of the GOE, GUE, GSE ensembles and in the integrable system in the Poissonian ensemble. The statistical analysis of energy levels by random matrix theory will be possible by calculating the Hamiltonian’s eigenvalues of the system. The calcium chain is an ideal test bench for study on the nuclear structure due to its existing double magic isotopes. In the present work, we use quantum chaos theory in order to investigate the stability of the nuclear structure of 50Caand 48Ca isotopes, and the results obtained are compared with those of the Isolde-Cern laboratory.
کلیدواژه‌ها [English]
- Nuclear Shell Model
- Random Matrix Theory
- Quantum Chaos
- Many-Body Systems
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