مطالعه تغییرات سطوح انرژی زنجیره ایزوتوپی Hg180-188 در ناحیه گذار فازی کوانتومی مدل برهمکنش بوزونی

نوع مقاله: مقاله پژوهشی کامل

نویسندگان

1 هیأت علمی گروه فیزیک، دانشکده فیزیک، دانشگاه تبریز، تبریز، ایران

2 گروه فیزیک، دانشکده فیزیک، دانشگاه تبریز، تبریز، ایران

چکیده

در این مطالعه ، زنجیره ایزوتوپی Hg180-188 در ناحیه گذار فازی شکلی هسته ای بین شکل های دوکی شکل و تخت بررسی شده است. برای مطالعه این ناحیه از هامیلتونین دو پارامتری جبری در مدل برهمکنش بوزونی استفاده شده است. با استفاده از نظریه کاتاستروف و فرمالیسم حالت همدوس، سطوح انرژی سیستم های هسته ای در این ناحیه گذار فازی شکلی حاصل گردید. مقایسه نتایج حاصل از این مطالعه برای طیف انرژی و احتمال گذارهای چهار قطبی الکتریکی با نتایج تجربی موجود توانائی مدل برای مطالعه این هسته ها را در ناحیه گذار نشان می دهد. همچنین نحوه تغییرات سطوح انرژی و مقادیر حاصل برای پارامتر کنترلی هامیلتونین گذار فازی شکلی برای این زنجیره ایزوتوپی، وجود گذار فازی مرتبه اول را نشان داده و هسته Hg188 را به عنوان نمونه مناسبی برای تقارن دینامیکی نقطه بحرانی Z(5) یا تقارن دینامیکی O(6) معرفی میکند.

کلیدواژه‌ها


عنوان مقاله [English]

Investigation the energy surfaces of 180-188Hg isotopic chain in the shape phase transitional region of interacting boson model

نویسندگان [English]

  • hadi sabri 1
  • amir jalili majarshin 2
1 University of tabriz
2 Department of Physics, University of Tabriz, Tabriz 51664, Iran.
چکیده [English]

In this paper, the 180-188Hg isotopic chain is studied in the transitional region between the prolate and oblate shapes. To this aim, we have used a two parametric transitional Hamiltonian in the interacting boson model. With using Catastrophe theory in combination with coherent state formalism, we have determined the energy surfaces in this transitional region. The results of this study for energy levels and quadrupole transition probabilities are in the satisfactory agreement with experimental counterparts. Also the results for the control parameter of transitional Hamiltonian and the variation of energy surfaces propose a first order phase transition in this isotopic chain and suggest 188Hg nucleus as the best candidate for the O(6) dynamical symmetry limit or Z(5) critical point symmetry.

کلیدواژه‌ها [English]

  • Quantum shape phase transition
  • Interacting Boson Model
  • energy surfaces
  • coherent state
  • Z(5) critical point

 

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