نویسنده

گروه فیزیک، دانشکده علوم، دانشگاه اصفهان

چکیده

یک تحقیق فرمیونی فشرده جبر همتافت SP(4 ، خود چارچوبی طبیعی برای مطالعه همبستگی های تزویج برهم کنش های بس ذره ای در هسته-ها است. در اینجا، از مفهوم تغییر شکل کوانتومی برای توصیف همبستگی های تزویج در هسته های اتمی استفاده می کنیم. در حالی که، حد تغییر شکل نیافته نظریه، توصیف همه جانبه ای از ویژگی های خاص هسته ای و اثرهای ساختار ریز را فراهم می کند، نتایج نشان می دهد که تغییر شکل q نقش مهمی در درک اثرهای مرتبه بالاتر در برهم کنش های بس ذره ای ایفاء می کند. 

کلیدواژه‌ها

عنوان مقاله [English]

Description of nuclear many-body interactions within the framework of quantum deformation theory

نویسنده [English]

  • E Yaghoubiopour

چکیده [English]

A fermion realization of compact symplectic algebra provides a natural framework for studying pairing correlations of many-body interactions in nuclei. Here, we use quantum deformation concept in order to describe pairing correlations in atomic nuclei. While the nondeformed limit of the theory provides a reasonable and overall description of certain nuclear properties and fine structure effects, the results show that the q deformation plays a significant role in understanding higher-order effects in the many-body interactions.

کلیدواژه‌ها [English]

  • quantum deformation theory
  • many-body interactions
  • quantum algebra
  • and nucleonic pairing

1Z. Haghshenasfard, M. H. Naderi, and M. Soltanokotabi, "Subluminal to superluminal propagation an optical pulse in an f- deformed Bose- Einstein condensate," J. Phys. B: Atom. Molec.41, 14 (2008); .2A. Mahdifar, W. Vogel, Th. Richter, R. Roknizadeh, and M. H. Naderi, "Coherent states of a harmonic oscillator on a sphere in the motion of a trapped ion," Phys. Rev. A 78, 63814 (2008); .3A. Lavagno and P. Narayana Swamy, "Generalized thermodynamics of q-deformed bosons and fermions," Phys. Rev. E 65 (3), 036101 (2002); .4Dennis Bonatsos, B. A. Kotsos, P. P. Raychev, and P. A. Terziev, "Rotationally invariant Hamiltonians for nuclear spectra based on quantum algebras," Phys .Rev. C 66 (5), 054306 (2002); .5A. Ballesteros, O. Civitarese, F. J. Herranz, and M. Reboiro, "Fermion-boson interactions and quantum algebras," Phys. Rev. C 66 (6), 064317 (2002); .6O. Civitarse A. Ballesteros, and M. Reborio, "Correspondence between the q- deformed harmonic oscillator and finite range potentials," Phys. Rev. C 68, 044307 (2003); .7P. P. Raychev, R. P. Roussev, and Yu. F. Smirnov, "The quantum algebra suq(2) and rotational spectra of deformed nuclei," J. Phys. G: Nucl. Part. Phys. 16, L137 (1990); .8S. Shelly Sharma, "q analogue realization of nucleon pairing," Phys.Rev.C 46 (3), 904 (1992); .9D. Bonatsos, "ARE Q-BOSONS SUITABLE FOR THE DESCRIPTION OF CORRELATED FERMION PAIRS," J.Phys. a:Math.Gen.25 (3), L101-L108 (1992); .10G. Racah, "Theory of Complex Spectra III " Phys. Rev. 63, 367 (1943); .11B. H. Flowers, "Studies in jj- coupling I. classification of nuclear and atomic states," Proc. R. Soc. A 212, 248 (1952); .12G. Rosensteel and D. J. Rowe, "Nuclear Sp(3,nbspR) Model," Phys. Rev.Lett.38 (1), 10 (1977); .13K. D. Sviratcheva, J. P. Draayer, and A. I. Georgieva, "An algebraic pairing model with Sp(4) symmetry and its deformation," J. Phys. G: Nucl. Part. Phys. 29, 1281-1297 (2003); .14K. D. Sviratcheva, A. I. Georgieva, and J. P. Draayer,, "Staggering behavior of 0+ state energies in the Sp(4) pairing model," Phys. Rev. C 69, 024313 (2004); .15A. M. Scarfone and P. N. Swamy, "An interacting particles system revisited in the framework of the q-deformed algebra," J.Phys. a:Math.Theor.41 (27) (2008); .16T. Hayashi, "Q-ANALOGS OF CLIFFORD AND WEYL ALGEBRAS - SPINOR AND OSCILLATOR REPRESENTATIONS OF QUANTUM ENVELOPING-ALGEBRAS," Commun.Math.Phys.127 (1), 129-144 (1990); .17B. Abdesselam, D. Arnaudon, and A. Chakrabarti, "REPRESENTATIONS OF U-Q(SO(5)) AND NONMINIMAL Q-DEFORMATION," J. Phys.a:Math. Gen.28 (13), 3701-3708 (1995); .18K. D. Sviratcheva, A. I. Georgieva, V. G. Gueorguiev, J. P. Draayer, and M. I. Ivanov, "Deformations of the fermion realization of the sp(4) algebra and its subalgebras," J.Phys. a:Math. Gen.34 (40), 8365-8382 (2001); .20J. Engel, K. Langanke, and P. Vogel, "Pairing and isospin symmetry in proton-rich nuclei," Phys. Lett. B 389 (2), 211-216 (1996); .21P. Navaratil, and B. R. Barrett, "Four- nucleon shell model calcualtion in a Faddev- like approch," Phys. Rev. C 59, 1906 (1999); .22P. Navaratil, and W. E. Ormand, "Ab initio shell model a genuine three- nucleon force for the p- shell nuclei," Phys. Rev. C 68, 034305 (2003); .23F. Pan, V. G. Gueorguiev, and J. P. Draayer, "Algebraic solution of an extended pairing model for wel deformed nuclei," Phys. Rev. Lett. 92, 112503 (2004); .24K. D. Sviratcheva, C. Bahri, A. I. Georgieva, and J. P. Draayer,, "Physical significance of q deformation and many- body interactions in nuclei," Phys. Rev. Lett. 93, 152501 (2004).

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