Random Interactions in Nuclei and Extension of 0<SUP>+</SUP> Dominance in Ground States to Irreps of Group Symmetries

V.K.B.Kota

Chinese Physics C> 2004, Vol. 28> Issue(12) : 1307-1312

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

V.K.B.Kota ^,

Physical research laboratory,ahmedabad 380009,india

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random one plus two–body hamiltonians invariant with respect to o(n_1)o(n_2)symmetry in the group–subgroup chains u(n )u(n_1)u(n_2)o(n_1)o(n_2)and u(n )o(n )o(n_1)o(n_2) of a variety of interacting boson models are used to investigate the probability of occurrence of a given(ω_1ω_2)irreducible representation(irrep)to be the ground state in even–even nuclei;[ω_1] and [ω_2] are symmetric irreps of o(n_1) and o(n_2) respectively. employing a 500 member random matrix ensemble for n boson systems (with n=10–25),it is found that for n_1,n_2≥3 the (ω_1ω_2)=(00) irrep occurs with～50% and (ω_1ω_2)=(n0) and (0n) irreps each with～25% probability. similarly,for n_1≥3,n_2=1,for even n the ω_1=0 occurs with～75% and ω_1=n with～25% probability and for odd n,ω_1=0 occurs with～50% and ω_1=1,n each with～25% probability. an extended hartree–bose mean–field analysis is used to explain all these results.

References

[1]

.Johnson C W, Bertsch G F,Dean D J. Phys. Rev.Lett. , 1998, 80: 27492. Bijker R,Frank A. Phys. Rev. Lett . , 2000, 84: 4203. Kota V K B. Phys. Rep. , 2001, 347: 2234. Zelevinsky V, Volya A. Phys. Rep. , 2004, 391: 3115. ZHAO Y M, Arima A,Yoshinaga N. Phys. Rep. , 2004, 400: 16. Kota V K B, Kar K. Phys. Rev. E, 2002, 65: 026130; Pluhar Z, Weidenm..ller H A. Ann. Phys. ( N. Y. ) , 2002, 297: 344; Chau P H-T et al . Phys. Rev. C, 2002, 66: 0613027. Daley H J, Iachello F. Ann. Phys. (N.Y. ) , 1986, 167: 738. Iachello F, Arima A. The Interacting Boson Model . Cambridge. Cam..bridge University Press, 19879. Rowe D J and Iachello F. Phys. Lett. B, 1983, 130: 23110. Kota V K B et al. J. Math. Phys. , 1987, 28: 1644; Devi Y D, Kota V K B. Z. Phys. A, 1990, 337: 1511. Engel J, Iachello F. Phys. Rev. Lett. , 1985, 54: 1126; Kusnezov D. J.Phys. A, 1990, 23: 5673; JI H Y et al. Nucl. Phys. A, 1999, 658: 19712. LONG G L et al. Science in China A, 1998, 41: 129613. Bijker R, Iachello F, Ann. Phys. (N.Y. ) , 2002, 298: 33414. Kota V K B. Ann. Phys. (N.Y. ) , 1998, 265: 10115. Kota V K B. Ann. Phys. ( N. Y. ) , 2000, 280: 1,Van Isacker P, Warner D D. Phys. Rev. Lett. , 1997, 78: 326616. Kota V K B. Pramana..J. Phys. , 2003, 60: 5917. Kusnezov D. Phys. Rev. Lett. , 2000, 85: 377318. Bijker R, Frank A. Phys. Rev. , 2001, C64: 061303; Phys. Rev. ,2002 C65: 04431619. Kota V K B. J. Math. Phys. , 1997, 38: 663920. Bijker R. preprint, 2003, nucl-th/030306921. Dukelsky J et al . preprint, 2003, nucl-th/031003122. Leviatan A. Ann. Phys. ( N. Y. ) , 1987, 179: 201; Dukelsky J et al. Nucl . Phys. , 1984, A425: 9323. Kota V K B. In: Proc. of the Symp. on Symmet ries in Science XIII.eds. Gruber B,Marmo G, Yoshinaga N. Dordrecht (The Netherlands) .Kluwer Academic publishers, 2004,P. 265;Van Isacker P. Rep. Prog.Phys. , 1999, 62: 1661

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[11]	BES Collaboration . Measurement of the Branching Ratios of τ^±→π^±+nπ⁰+ν_τ(n=0,1,2) decays. Chinese Physics C, 1997, 21(3): 193-200.
[12]	LIU Yu-Xin , LONG Gui-Lu , SUN Hong-Zhou . Staggering Phenomenon in Nuclear Energy Spectrum and Quadrupole-Quadrupole Interaction. Chinese Physics C, 1991, 15(3): 245-250.
[13]	CHEN Xin-Yi , WU Shi-Shu . 1s-0d EFFECTIVE INTERACTIONS OF ISOSPIN TRIPLET AND ¹⁸Ne-¹⁸O COULOMB DISPLACEMENT ENERGIES. Chinese Physics C, 1989, 13(1): 50-55.
[14]	HUO Yu-Kun , PAN Zheng-Ying . INTERACTIONS OF NUCLEI AND LASER(1) ——LASER INDUCED ISOMERIC TRANSITIONS AND GAMMA LASER. Chinese Physics C, 1989, 13(7): 664-669.
[15]	HUO Yu-Kun , PAN Zheng-Ying . INTERACTIONS OF NUCLEI AND LASER (2) ——LASER ENHANCED EFFECTIVE NEUTRON WIDTH FOR NUCLEAR RESONANCE. Chinese Physics C, 1989, 13(9): 856-859.
[16]	JIANG Guo-Rong , JIN Xing-Nan . THE Λ-α EFFECTIVE INTERACTION AND INVESTIGATION ON THE HYPERNUCLEI ⁶_ΛΛHe AND ⁹_ΛBe. Chinese Physics C, 1987, 11(2): 226-230.
[17]	LI Xian-Yin , YAO Shi-Huai . A MAPPING BETWEEN THE SU₆ SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THE SU₆ SUBSPACE OF D.JANSSEN ET AL.. Chinese Physics C, 1985, 9(4): 476-482.
[18]	YANG Ze-Sen(Tse-sen Yang) . DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1985, 9(3): 341-348.
[19]	Qin Ke-yu . THE INTERACTION OF A HIGH ENERGETIC PROTON WITH A NUCLEUS—THE RELATION OF THE PRODUCED PARTICLES WITH THE NUCLEAR MASS NUMBER A. Chinese Physics C, 1980, 4(3): 344-348.
[20]	YU YOU-WEN . THE INTERACTION OF ANTINUCLEON WITH NUCLEUS. Chinese Physics C, 1979, 3(6): 676-680.

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V.K.B.Kota. Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries[J]. Chinese Physics C, 2004, 28(12): 1307-1312.

V.K.B.Kota. Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries[J]. Chinese Physics C, 2004, 28(12): 1307-1312. shu

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Received: 2003-11-29
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

Corresponding author: V.K.B.Kota,

Physical research laboratory,ahmedabad 380009,india

Received Date: 2003-11-29

Accepted Date: 1900-01-01

Available Online: 2004-12-05

Abstract: random one plus two–body hamiltonians invariant with respect to o(n_1)o(n_2)symmetry in the group–subgroup chains u(n )u(n_1)u(n_2)o(n_1)o(n_2)and u(n )o(n )o(n_1)o(n_2) of a variety of interacting boson models are used to investigate the probability of occurrence of a given(ω_1ω_2)irreducible representation(irrep)to be the ground state in even–even nuclei;[ω_1] and [ω_2] are symmetric irreps of o(n_1) and o(n_2) respectively. employing a 500 member random matrix ensemble for n boson systems (with n=10–25),it is found that for n_1,n_2≥3 the (ω_1ω_2)=(00) irrep occurs with～50% and (ω_1ω_2)=(n0) and (0n) irreps each with～25% probability. similarly,for n_1≥3,n_2=1,for even n the ω_1=0 occurs with～75% and ω_1=n with～25% probability and for odd n,ω_1=0 occurs with～50% and ω_1=1,n each with～25% probability. an extended hartree–bose mean–field analysis is used to explain all these results.

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Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

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Random Interactions in Nuclei and Extension of 0+ Dominance in Ground States to Irreps of Group Symmetries

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Random Interactions in Nuclei and Extension of 0+ Dominance in Ground States to Irreps of Group Symmetries

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Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries

Random Interactions in Nuclei and Extension of 0⁺ Dominance in Ground States to Irreps of Group Symmetries