NORMAL MODES OF THE NEUTRON-PROTON INTERACTING-BOSON MODEL OF NUCLEI

被引：31

作者：

LEVIATAN, A ^{[1
]}

KIRSON, MW ^{[1
]}

机构：

[1] WEIZMANN INST SCI, DEPT NUCL PHYS, IL-76100 REHOVOT, ISRAEL

来源：

ANNALS OF PHYSICS | 1990年 / 201卷 / 01期

关键词：

D O I：

10.1016/0003-4916(90)90352-O

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A geometrically-oriented framework for studying the general proton-neutron interacting-boson model of nuclei is presented. The Hamiltonian is resolved exactly into intrinsic (bandhead related) and collective (in-band related) parts. Shape parameters are introduced through non-spherical proton-neutron bases. Genuine intrinsic modes of the combined system, as well as decoupled spurious Goldstone modes, are identified by applying the Bogoliubov treatment to the intrinsic part of the Hamiltonian. The normal frequencies provide an approximate expression for bandhead energies in the limit of large boson numbers. In this limit, intrinsic states involving the genuine intrinsic normal modes are constructed and serve to estimate transition matrix elements. The method is demonstrated for the cases of spherical, axially-deformed, and triaxial overall shapes of the valence proton-neutron distributions. © 1990.

引用

页码：13 / 50

页数：38

共 51 条

[1] COLLECTIVE NUCLEAR STATES AS SYMMETRIC COUPLINGS OF PROTON AND NEUTRON EXCITATIONS [J].

ARIMA, A ;

OHTSUKA, T ;

IACHELLO, F ;

TALMI, I .

PHYSICS LETTERS B, 1977, 66 (03) :205-208

[2] INTERACTING BOSON MODEL OF COLLECTIVE NUCLEAR-STATES .4. O(6) LIMIT [J].

ARIMA, A ;

IACHELLO, F .

ANNALS OF PHYSICS, 1979, 123 (02) :468-492

[3] INTERACTING BOSON MODEL OF COLLECTIVE NUCLEAR STATES .2. ROTATIONAL LIMIT [J].

ARIMA, A ;

IACHELLO, F .

ANNALS OF PHYSICS, 1978, 111 (01) :201-238

[4] INTERACTING BOSON MODEL OF COLLECTIVE STATES .1. VIBRATIONAL LIMIT [J].

ARIMA, A ;

IACHELLO, F .

ANNALS OF PHYSICS, 1976, 99 (02) :253-317

[5]

ARIMA A, 1984, NUCL PHYS A, V421, P69

[6] COLLECTIVE 2+ STATES IN THE U(5) CLASSICAL LIMIT OF THE PROTON-NEUTRON INTERACTING BOSON MODEL [J].

BALANTEKIN, AB ;

BARRETT, BR .

PHYSICAL REVIEW C, 1987, 35 (05) :1878-1882

[7] CORRECTION [J].

BALANTEKIN, AB .

PHYSICAL REVIEW C, 1986, 33 (05) :1842-1842

[8] COLLECTIVE M1 STATES IN THE CLASSICAL LIMIT OF THE NEUTRON-PROTON INTERACTING BOSON MODEL [J].

BALANTEKIN, AB ;

BARRETT, BR .

PHYSICAL REVIEW C, 1985, 32 (01) :288-292

[9] BETA VIBRATIONS IN THE O(6) LIMIT OF THE PROTON-NEUTRON INTERACTING BOSON MODEL [J].

BALANTEKIN, AB ;

BARRETT, BR ;

HALSE, P .

PHYSICAL REVIEW C, 1988, 38 (03) :1392-1396

[10]

BALANTEKIN AB, 1983, PHYS LETT B, V129, P153, DOI 10.1016/0370-2693(83)90832-8

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