fa گذر فاز کوانتومی در هسته های زوج و فرد با استفاده از مدل جبری دو خوشه ای نانوفیزیک Special پژوهشي Research <span style="font-size:10pt"><span style="text-justify:kashida"><span style="text-kashida:0%"><span style="line-height:21.0pt"><span style="direction:rtl"><span style="unicode-bidi:embed"><span new="" roman="" style="font-family:" times=""><b><span b="" lang="FA" nazanin="" style="font-family:">&quot;</span></b><span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">مدل</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">جبری</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">خوشه</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">ای&quot;</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">(</span></span><span dir="LTR" style="color:black">ACM</span><span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">)</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">برای</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">توصیف</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">حرکت</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">نسبی</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">خوشه با در نظر گرفتن درجات آزادی ارتعاشی و چرخشی بکار میرود. </span></span><span b="" lang="FA" nazanin="" style="font-family:"><span style="color:black">در این پژوهش با استفاده از هامیلتونین </span></span><span dir="LTR" style="color:black">ACM</span><span b="" nazanin="" style="font-family:"><span style="color:black"> دو جسمی، </span></span><span b="" lang="FA" nazanin="" style="font-family:"><span style="color:black">گذار فاز کوانتومی در</span></span> <span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">ناحیۀ گذار</span></span><span dir="LTR" style="color:black">U(3)&harr;O(4) </span>&nbsp;<span b="" lang="FA" nazanin="" style="font-family:"><span style="color:black">برای </span></span><span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">ساختارهای هسته ای فرد مانند:</span></span>^{<span dir="LTR" style="color:black">10</span>}<span dir="LTR" style="color:black">B</span> ،⁸Be<span lang="FA" style="color:black">،</span>⁹B<span 2="" lang="FA" lotus="" style="font-family:">و</span> ⁹Be<span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">بررسی شده است. </span></span><span b="" lang="FA" nazanin="" style="font-family:"><span style="color:black">سطوح انرژی، مقدار انتظاری عملگر تعداد بوزون در تابعی از&nbsp; پارامترهای کنترلی هامیلتونین محاسبه و همچنین تأثیر تزویج نوکلئون فرد با هسته بوزونی زوج-زوج در نقطۀ بحرانی بحث شده است</span></span><span b="" lang="AR-SA" nazanin="" style="font-family:"><span style="color:black">. داده های تجربی، نتایج عددی حاصل را تایید می کنند.</span></span><span calibri="" dir="LTR" style="font-family:"><span style="color:black"></span></span></span></span></span></span></span></span></span><br> <br> &nbsp; <span style="font-size:14pt"><span style="text-justify:kashida"><span style="text-kashida:0%"><span style="line-height:23.0pt"><span style="unicode-bidi:embed"><span new="" roman="" style="font-family:" times="">&nbsp;<span style="font-size:10.0pt">&quot;Algebraic cluster model&quot; (ACM) is used to describe the relative motion of the cluster by considering vibrational and rotational degrees of freedom</span><span dir="RTL" lang="FA" style="font-size:10.0pt"><span 2="" style="font-family:" zar="">.</span></span><span style="font-size:10.0pt">In this research, using the two-body ACM Hamiltonian, the quantum phase transition in the transition region U(3)&harr;O(4) for odd nuclear structures </span><span style="font-size:9.0pt">such as:</span>^{<span style="font-size:9.0pt">8</span>}<span style="font-size:9.0pt">Be</span><span dir="RTL" lang="FA" style="font-size:9.0pt"><span style="color:black">،</span></span>^{<span style="font-size:9.0pt">9</span>}<span style="font-size:9.0pt">B،&nbsp;⁹Be</span><span style="font-size:9.0pt">,</span><span style="font-size:9.0pt"> and </span>^{<span style="font-size:9.0pt">10</span>}<span style="font-size:9.0pt">B</span><span style="font-size:9.0pt"> has</span><span style="font-size:10.0pt"> been investigated. The energy surfaces, the expectation value of the boson number operator as a function of the control parameters of the calculated Hamiltonian, and also the effect of pairing the odd nucleon with the even-even boson nucleus at the critical point are discussed.&nbsp;&nbsp; Experimental data confirm the numerical results.</span></span></span></span></span></span></span><br> &nbsp; : مدل جبر خوشه ای, جبر آفین SU(1,1) , گذار فاز کوانتومی, سطوح انرژی Algebraic Cluster Model, Affine , shape transition 40 60 http://jmrph.khu.ac.ir/browse.php?a_code=A-10-125-1&slc_lang=fa&sid=1 Maryam Ghapanvari مریم قپانوری mghapanvari@aeoi.org.ir 10031947532846001188 10031947532846001188 Yes Atomic Energy Organization انرژی اتمی ایران Masoud Seidi مسعود صیدی masoudseidi@yahoo.com 10031947532846001189 10031947532846001189 No Ilam University دانشگاه ایلام Narjes Amiri نرجس امیری narjesamiri@tabrizu.ac.ir 10031947532846001190 10031947532846001190 No University of Tabriz دانشگاه تبریز Mohammad Ali Jafarizadeh محمد علی جعفریزاده jafarizadeh@tabrizu.ac.ir 10031947532846001191 10031947532846001191 No University of Tabriz دانشگاه تبریز