Algebraic description of intrinsic modes in nuclei

Amiram Leviatan

doi:10.1016/0146-6410(90)90008-R

Algebraic description of intrinsic modes in nuclei

Amiram Leviatan^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We present a procedure for extracting normal modes in algebraic number-conserving systems of interacting bosons relevant for collective states in even-even nuclei. The Hamiltonian is resolved into intrinsic (bandhead related) and collective (in-band related) parts. Shape parameters are introduced through non-spherical boson bases. Intrinsic modes decoupled from the spurious modes are obtained from the intinsic part of the Hamiltonian in the limit of large number of bosons. Intrinsic states are constructed and serve to evaluate electromagnetic transition rates. The method is illustrated for systems with one type of boson as well as with proton-neutron bosons.

Original language	English
Pages (from-to)	85-94
Number of pages	10
Journal	Progress in Particle and Nuclear Physics
Volume	24
Issue number	C
DOIs	https://doi.org/10.1016/0146-6410(90)90008-R
State	Published - 1990
Externally published	Yes

Keywords

Goldstone bosons
Intrinsic-collective resolution
intrinsic states
normal modes

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10.1016/0146-6410(90)90008-R

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AB - We present a procedure for extracting normal modes in algebraic number-conserving systems of interacting bosons relevant for collective states in even-even nuclei. The Hamiltonian is resolved into intrinsic (bandhead related) and collective (in-band related) parts. Shape parameters are introduced through non-spherical boson bases. Intrinsic modes decoupled from the spurious modes are obtained from the intinsic part of the Hamiltonian in the limit of large number of bosons. Intrinsic states are constructed and serve to evaluate electromagnetic transition rates. The method is illustrated for systems with one type of boson as well as with proton-neutron bosons.

KW - Goldstone bosons

KW - Intrinsic-collective resolution

KW - intrinsic states

KW - normal modes

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VL - 24

SP - 85

EP - 94

JO - Progress in Particle and Nuclear Physics

JF - Progress in Particle and Nuclear Physics

IS - C

ER -

Algebraic description of intrinsic modes in nuclei

Abstract

Keywords

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