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Casten, R.F.

Brookhaven National Lab., Upton, NY (USA); Koeln Univ. (Germany, F.R.). Inst. fuer Kernphysik1984

Brookhaven National Lab., Upton, NY (USA); Koeln Univ. (Germany, F.R.). Inst. fuer Kernphysik1984

AbstractAbstract

[en] The IBA treatment of nuclear symmetries and transition regions is discussed. A new, extensive region of O(6) nuclei near A = 130 is presented and compared with the Pt isotopes. Nearly identical level schemes characterize both regions, including similar relations between the O(6) and O(5) steps in the dynamical symmetry chain decomposition, and similar discrepancies with the O(6) limit. Simple calculations that incorporate a triaxial component as an O(6) symmetry breaking mechanism remove these discrepancies in both regions. The evidence for a new, and perhaps the only, good region of SU(3) symmetry is given and discussed in a context of mixing with non-collective degrees of freedom. Finally, a systematic approach to transition regions is presented in which the key determinant of structure is the product N/sub π/.N/sub ν/ of the number of valence proton and neutron bosons. Recognition of this allows an extremely simple treatment of complex transition regions. As an example, calculations for the U(5)→O(6)→SU(3) sequence from A = 120-140, which involve only six constants for the entire region of approx. = 30 nuclei, are discussed. The use of N/sub π/.N/sub ν/ plots allows the study of the dissipation of shell and subshell gaps. Results for the A approx. = 100 and A approx. = 150 regions are presented and effective proton-boson numbers are extracted and compared with earlier results from g factor measurements and from microscopic calculations. 43 references

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1984; 33 p; International symposium on nuclear shell model; Philadelphia, PA (USA); 31 Oct - 3 Nov 1984; CONF-8410144--10; Available from NTIS, PC A03/MF A01; 1 as DE85007928

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Brookhaven National Lab., Upton, NY (USA); Koeln Univ. (Germany, F.R.). Inst. fuer Kernphysik1984

AbstractAbstract

[en] Although the IBA-1 contains no solutions corresponding to a rigid triaxial shape, it does contain an effective asymmetry arising from zero point motion in a γ-soft potential leading to a non-zero mean or rms γ. In the consistent Q Formalism (CQF) of the IBA, most results of calculation depend only on one parameter chi. A relation will be established between chi and the effective asymmetry parameter γ. The relation between the asymmetry occurring naturally in IBA-1 and the triaxiality arising from the introduction of cubic terms into the IBA Hamiltonian will be discussed. It will be shown that γ-band energy staggering is a particularly sensitive indicator of the degree of γ rigidity. Finally, an extensive new region of 0(6) like Xe and Ba nuclei near A=130 will be discussed. Their remarkable similarity to Pt will be explored. Deviations from the strict 0(6) limit can be described in terms of the interplay of soft and rigid axial asymmetry and calculations will be presented that interpret the Xe, Ba and Pt isotopes in this way. 25 references

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1984; 15 p; Capture gamma-ray spectroscopy conference; Knoxville, TN (USA); 10-14 Sep 1984; CONF-840906--16; Available from NTIS, PC A02/MF A01 as DE85003215

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Casten, R.F.

Brookhaven National Lab., Upton, NY (USA)1982

Brookhaven National Lab., Upton, NY (USA)1982

AbstractAbstract

[en] Deformed nuclei represent perhaps the largest and best studied class of nuclear level schemes. The Interacting Boson Approximation (IBA) model is devised so as to provide a general framework for the description of low lying collective states in nuclei spanning vibrational, rotational (i.e., deformed) and axially asymmetric types as well as the transitional species intermediate between these limiting cases. The juxtaposition of these two statements makes it all the more surprising that until recently there had been no thorough test of the model in such nuclei. Partly, the explanation for this lies in the type of data required for an adequate test. Since the IBA predicts a broad range of collective states it requires a correspondingly thorough empirical test. Moreover, in deformed nuclei, though the characteristic predictions that distinguish the IBA from the traditional, familiar collective model of harmonic β and γ vibrations are important, their clearest manifestation occurs in very weak, hard-to-detect low energy transitions between excited vibrational bands (in particular between β and γ bands), that had not heretofore been systematically observed. The present brief summary will begin with a review of the properties of the (n,γ) reaction that render it a useful empirical tool for such studies, and follow this with a description of the results of the

^{168}Er study and the application of the IBA model to the resultant level scheme. The discussion will then be generalized to other deformed nuclei and to the inherent systematic predictions that must characterize the IBA for such nuclei. Many of these ideas will be related to the role of finite boson number in the IBAPrimary Subject

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1982; 12 p; INS symposium on dynamics of nuclear collective motion; Mount Fuji (Japan); 6 - 10 Jul 1982; CONF-820738--4; Available from NTIS., PC A02/MF A01 as DE82020790

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Casten, R.F.

Brookhaven National Lab., Upton, NY (USA)1990

Brookhaven National Lab., Upton, NY (USA)1990

AbstractAbstract

[en] The intimate relation between the IBM and axial asymmetry, appearing in its dynamical symmetries, in numerical calculations, in bandmixing effects, and in extensions to the model, is discussed

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1990; 15 p; International conference on high spin physics and gamma-soft nuclei; Pittsburgh, PA (USA); 17-21 Sep 1990; CONF-9009135--1; CONTRACT AC02-76CH00016; NTIS, PC A03/MF A01 as DE90017634; OSTI; INIS; US Govt. Printing Office Dep

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Casten, R.F.

Brookhaven National Lab., Upton, NY (USA)1986

Brookhaven National Lab., Upton, NY (USA)1986

AbstractAbstract

[en] The Interacting Boson Approximation (IBA) nuclear structure model can be expressed in terms of the U(6) group, and thereby leads to three dynamical symmetries (or group chains) corresponding to different nuclear coupling schemes and geometrical shapes. The status of the empirical evidence for these three symmetries is reviewed, along with brief comments on the possible existence of supersymmetries in nuclei. The relationships between these symmetries, the nuclear phase transitional regions linking them, and the residual proton-neutron interaction are discussed in terms of a particularly simple scheme for parameterizing the effects of that interaction. 34 refs., 15 figs

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1986; 20 p; Symmetries in science II; Carbondale, IL (USA); 24-26 Mar 1986; CONF-8603115--2; Available from NTIS, PC A02/MF A01; 1 as DE86010548; Portions of this document are illegible in microfiche products.

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Casten, R.F.

Brookhaven National Lab., Upton, NY (USA)1986

Brookhaven National Lab., Upton, NY (USA)1986

AbstractAbstract

[en] The pervasive role of the proton-neutron interaction in nuclear structure is discussed. Particular emphasis is given to its influence on the onset of collectivity and deformation, on intruder states, and on the evolution of subshell structure. The N/sub p/N/sub n/ scheme is outlined and some applications of it to collective model calculations and to nuclei far off stability are described. The concept of N/sub p/N/sub n/ multiplets is introduced. 32 refs., 20 figs

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1986; 33 p; 18. summer school on nuclear structure studies by means of nuclear reactions; Mikolajki (Poland); 1-13 Sep 1986; CONF-8609190--1; Available from NTIS, PC A03/MF A01; 1 as DE87001378; Portions of this document are illegible in microfiche products.

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Casten, R.F.

Brookhaven National Lab., Upton, NY (USA)1980

Brookhaven National Lab., Upton, NY (USA)1980

AbstractAbstract

[en] Calculations were performed for anti-aligned levels in

^{109}Pd. For a Nilsson model with pairing, variable moment of inertia, and Coriolis coupling, the favored levels were well reproduced, but the low-spin unfavored states exhibited serious disagreement with experiment results. Calculations with the IBFA were a significant improvement, in particular a regards the splitting of states of common spin. Comments on the source of this improvement are offered. 2 figures, 1 tablePrimary Subject

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1980; 5 p; International conference on interacting bose-fermi systems in nuclei; Erice, Sicily, Italy; 12 - 19 Jun 1980; CONF-8006127--2; Available from NTIS., PC A02/MF A01

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Conference; Numerical Data

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BETA DECAY RADIOISOTOPES, BETA-MINUS DECAY RADIOISOTOPES, DATA, EVEN-ODD NUCLEI, HOURS LIVING RADIOISOTOPES, INFORMATION, INTERACTIONS, INTERMEDIATE MASS NUCLEI, ISOMERIC TRANSITION ISOTOPES, ISOTOPES, MATHEMATICAL MODELS, MINUTES LIVING RADIOISOTOPES, NUCLEAR MODELS, NUCLEI, NUMERICAL DATA, PALLADIUM ISOTOPES, RADIOISOTOPES, SHELL MODELS

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Casten, R.F.

Brookhaven National Lab., Upton, NY (USA)1990

Brookhaven National Lab., Upton, NY (USA)1990

AbstractAbstract

[en] The widespread effects of the residual T=0 proton-neutron (p-n) interaction in the evolution of nuclear structure are discussed. Although these effects in inducing single nucleon configuration mixing, and hence in the development of non-spherical nuclear shapes, collectivity, and the associated shape and phase transitions have been known for four decades, it is only in recent years that their deep ramifications have become more fully appreciated. This had led to a unified phenomenological understanding of the role of the p-n interaction in nuclear collectivity and to, for example, the proposal of the N

_{p}N_{n}scheme and the associated concept of the P factor, which is a normalized value of N_{p}N_{n}reflecting the average number of p-n interactions per valence nucleon. Simultaneously, experimentally-determined p-n matrix elements for many nuclei have been extracted: they disclose striking anomalies for N=Z nuclei, and intriguing microstructure. These developments and empirical results will be discussed along with microscopic calculations that can be used to interpret them. 18 refs., 13 figsPrimary Subject

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1990; 21 p; Predeal international summer school: recent advances in nuclear structure; Predeal (Romania); 31 Aug - 8 Sep 1990; CONF-9008152--1; CONTRACT AC02-76CH00016; NTIS, PC A03/MF A01 as DE90017635; OSTI; INIS; US Govt. Printing Office Dep

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Casten, R.F.

Brookhaven National Lab., Upton, NY (USA)1978

Brookhaven National Lab., Upton, NY (USA)1978

AbstractAbstract

[en] The nonselectivity of the (n,γ) reaction provides a powerful tool for the study of those nuclear models of broad applicability whose characteristic excitations span a wide range of degrees of freedom. Several recent examples of this are discussed with particular emphasis on the recent discovery of the 0(6) limit of the interacting boson model and of a new interpretation of the Pt--0s transition region which consequently emerges. Other topics considered include recent extensions of the Nilsson model to new regions of nucleus, excitation energy and complexity of states. 43 references

Original Title

E2 branching ratios

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1978; 21 p; 3. symposium on neutron capture of gamma-ray spectroscopy; Upton, NY, USA; 18 Sep 1978; CONF-780926--22; Available from NTIS., PC A02/MF A01

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Casten, R.F.

Brookhaven National Lab., Upton, NY (United States). Funding organisation: USDOE, Washington, DC (United States)1995

Brookhaven National Lab., Upton, NY (United States). Funding organisation: USDOE, Washington, DC (United States)1995

AbstractAbstract

[en] In the last few years, our understanding of nuclei at extremes of stability has undergone substantial development and change. It is now thought that there is every likelihood for truly new manifestations of structure at extreme N/Z ratios, unlike anything observed to date. Changes in shell structure, residual interactions, symmetries, collective modes, and the evolution of structure are envisioned. These developing ideas expand the opportunities for nuclear structure studies with radioactive beams and focus attention on the need to develop efficient experimental techniques and improved signatures of structure. These developments are discussed along with an overview of current and future radioactive beam projects in North America

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11 Aug 1995; 18 p; 24. Mazurian Lakes school of physics; Piaski (Poland); 23 Aug - 2 Sep 1995; CONF-9508181--1; CONTRACT AC02-76CH00016; FG02-91ER40609; Also available from OSTI as DE96001919; NTIS; US Govt. Printing Office Dep

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