Garvey-Kelson relations for nuclear charge radii

被引：41

作者：

Piekarewicz, J. ^{[1
]}

Centelles, M. ^{[2
,3
]}

Roca-Maza, X. ^{[2
,3
]}

Vinas, X. ^{[2
,3
]}

机构：

[1] Florida State Univ, Dept Phys, Tallahassee, FL 32306 USA

[2] Univ Barcelona, Fac Fis, Dept Estruct & Constituents Mat, E-08028 Barcelona, Spain

[3] Univ Barcelona, Fac Fis, Inst Ciencies Cosmos, E-08028 Barcelona, Spain

来源：

EUROPEAN PHYSICAL JOURNAL A | 2010年 / 46卷 / 03期

关键词：

DROPLET-MODEL; MASS FORMULAS; ISOTOPES; TABLE; SET;

D O I：

10.1140/epja/i2010-11051-8

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The Garvey-Kelson relations (GKRs) are algebraic expressions originally developed to predict nuclear masses. In this paper we show that the GKRs provide a fruitful framework for the prediction of other physical observables that also display a slowly varying dynamics. Based on this concept, we extend the GKRs to the study of nuclear charge radii. The GKRs are tested on 455 out of the approximately 800 nuclei whose charge radius is experimentally known. We find a rms deviation of 0.01fm between the GK predictions and the experimental values. Predictions are provided for 116 nuclei whose charge radius is presently unknown.

引用

页码：379 / 386

页数：8

共 37 条

[1] A consistent set of nuclear rms charge radii:: properties of the radius surface R (N, Z) [J].

Angeli, I .

ATOMIC DATA AND NUCLEAR DATA TABLES, 2004, 87 (02) :185-206

[2] Garvey-Kelson relations and the new nuclear mass tables [J].

Barea, J. ;

Frank, A. ;

Hirsch, J. G. ;

Van Isacker, P. ;

Pittel, S. ;

Velazquez, V. .

PHYSICAL REVIEW C, 2008, 77 (04)

[3]

Barea J, 2007, AIP CONF PROC, V947, P348, DOI 10.1063/1.2813829

[4] Nuclear masses set bounds on quantum chaos [J].

Barea, J ;

Frank, A ;

Hirsch, JG ;

Van Isacker, P .

PHYSICAL REVIEW LETTERS, 2005, 94 (10)

[5] Microscopic-macroscopic approach for binding energies with the Wigner-Kirkwood method [J].

Bhagwat, A. ;

Vinas, X. ;

Centelles, M. ;

Schuck, P. ;

Wyss, R. .

PHYSICAL REVIEW C, 2010, 81 (04)

[6]

Brack M., 1997, SEMICLASSICAL PHYS

[7] Charge radii in macroscopic-microscopic mass models [J].

Buchinger, F ;

Pearson, JM .

PHYSICAL REVIEW C, 2005, 72 (05)

[8] Nuclear charge radii in modern mass formulas: An update [J].

Buchinger, F ;

Pearson, JM ;

Goriely, S .

PHYSICAL REVIEW C, 2001, 64 (06) :673031-673033

[9] NUCLEAR-CHARGE RADII IN MODERN MASS FORMULAS [J].

BUCHINGER, F ;

CRAWFORD, JE ;

DUTTA, AK ;

PEARSON, JM ;

TONDEUR, F .

PHYSICAL REVIEW C, 1994, 49 (03) :1402-1411

[10]

De Shalit A., 1974, Theoretical Nuclear Physics: Nuclear Structure

← 1 2 3 4 →