Author
Abstract
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.
Keywords
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);
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.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).
.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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