محاسبه انرژی بستگی و تابع موج تتراکوارک bbss با پتانسیل شبکه QCD به روش تحلیلی

نوع مقاله: مقاله پژوهشی کامل

نویسندگان

گروه فیزیک، دانشکده علوم پایه، دانشگاه کاشان، کاشان، ایران

چکیده

در این مقاله، تتراکوارک به عنوان حالت مقید چهار کوارکی با دو پادکوارک سنگین bb ودو کوارک سبک ss، در نظر گرفته می
شود. همچنین تتراکوارک، به عنوان یک سیستم دو جسمی متشکل از دو مزون فرض شده، که هر مزون، از یک کوارک سبک و یک پادکوارک سنگین تشکیل شده است. با توجه به سنگین بودن هر مزون، می توان از تقریب بورن-اپنهایمر استفاده نمود. بنابراین معادله شرودینگر، با جایگذاری پتانسیل bb بدست آمده از شبکه QCD، حل خواهد شد. با حل معادلات بدست آمده از معادله شرودینگر، انرژی بستگی و تابع موج تتراکوارک، برای حالت اسکالر ss بدست می آید. در نهایت مقادیر بدست آمده برای انرژی بستگی با مقادیر تعیین شده در سایر مقالات مقایسه می گردد. همچنین، با توجه به نمودارهای تابع موج این ذره، شعاع تتراکوارک تخمین زده می شود.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

The Calculate of binding energy and wave function of tetraquark bbss from lattice QCD potential with analytically approach

نویسندگان [English]

  • Fereshteh Chezani Sharahi
  • Majid Monemzadeh
  • Abbas Abdoli Arani
Department of Physics, Faculty of science, University of Kashan, Kashan, Iran
چکیده [English]

In this paper, Tetraquark is considered as a bound state of 4-quark systems containing two
heavy-heavy antiquarks and two light-light quarks ss. Tetraquark is also assumed as a 2-body
system consisting of two mesons; each containing a light quark and a heavy quark. BornOppenheimer approximation could be employed due to the mesons’ heavy weight. Hence, the
Schrödinger equation may be solved by replacing the ensuing potential from lattice QCD. Having
solved the equations, the binding energy and tetraquark wave function are then obtained in scalar
ss channel. Finally, obtained values for binding energy are compared with those reported in the
literature, and considering the wave function diagrams for the particle, its tetraquark radius is
estimated.

کلیدواژه‌ها [English]

  • Binding Energy
  • Tetraquark
  • Exotic hadrons
  • Wave Function
  • Lattice QCD
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