<i>Nuclear Shell Theory</i>

de-Shalit, A.; Talmi, Igal; Massey, H. S. W.; Wigner, E. P.

doi:10.1063/1.3051142

Cited by 215 publications

(190 citation statements)

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“…(1)). While the direct part obeys the same algebra [14] as the simple single-particle operator, the exchange terms do not [5]. 210 Po, as the g-factor of this state should be essentially equal to (g 1 + og 1 ).…”

mentioning

confidence: 99%

Effective single-particle magnetic moments around 208Pb

Maier¹,

Nakai²,

Leigh³

et al. 1972

Nuclear Physics A

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confidence: 99%

Effective single-particle magnetic moments around 208Pb

Maier¹,

Nakai²,

Leigh³

et al. 1972

Nuclear Physics A

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“…From the so-called "center-of-gravity" or "center-of-mass" theorem [38] we know that measurements of the hyperfine interactions (multipolarity k>0) give no information about the center of gravity of the atomic level, determined by k=0. The latter, on the other hand, is dependent on the spherically averaged value of the nuclear charge distribution, which, in turn, gives rise to the volume-dependent part of isotope shifts.…”

Section: Isotope Shiftsmentioning

confidence: 99%

Optical spectroscopy of radioactive atoms

Stroke

2007

Laser 2006

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An epitome of optical methods used in atomic spectroscopy of radioactive atoms is presented. The overview addresses a number of results in atomic structure and hyperfine structure, and the implications in the study of electric and magnetic properties of nuclei. An aperçu is given of the concomitant development of the experimental methods, from simple optical techniques to laser spectroscopy, and from use of "off-line" experiments to ones using ISOLDE-type facilities.

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“…[18], was quoted incorrectly in Refs. [14,22]. Using the expression of the 9j symbol in terms of a 6j symbol [22]:…”

Section: Defining For Instancementioning

confidence: 99%

“…is often encountered in atomic physics and plays a major role in nuclear physics, especially for the study of β-decay [14,15]. It can be evaluated in terms of 3j symbols [13]:…”

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A note on recursive calculations of particular 9jcoefficients

Pain¹

2011

Lith. J. Phys.

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The calculation of angular-momentum coupling transformation matrices can be very time consuming and alternative methods, even if they apply only in special cases, are helpful. We present a recursion relation for the calculation of particular 9j symbols used in the quantum theory of angular momentum.Keywords: angular momentum, 9j coefficient, recursion relation 03.65.Fd, The coupling of N angular momenta is related to the definition of a 3(N − 1)j symbol. The 9j symbols, characterizing the coupling of four angular momenta, are involved for instance in the computation of the matrix elements of the products of tensor operators, and in the transformation from LS to jj coupling [1,2]. The triple sum series of Jucys and Bandzaitis [3] is the simplest known algebraic form for the 9j coefficient. Fourty years ago, Ališauskas and Jucys [4][5][6][7][8] derived an algebraic expression, in which 9j symbols are written as the threefold summation of multiplications and divisions of factorials. More recently, Wei [9,10] proposed to express 9j symbols as a summation of the products of binomial coefficients and devised an algorithm to calculate the binomial coefficients recursively. Although some relationships between particular 9j symbols have been obtained in special cases [11], it is quite difficult to find recursion formulas for the 9j symbol itself, due to the fact that it contains nine arguments. PACSThe general recursion relations for arbitrary 9j symbols were introduced in [12], [3] (with incorrect phase factors), and in [13] (in corrected form). However, as a rule in these relations, several angular momentum parameters are changing. It seems that relations with changing single momentum parameter are possible only if some other parameters of the 9j accept extreme or fixed small values. For instance, the following 9j symbol:

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Nuclear Shell Theory

Cited by 215 publications

References 0 publications

Effective single-particle magnetic moments around 208Pb

Effective single-particle magnetic moments around 208Pb

Optical spectroscopy of radioactive atoms

A note on recursive calculations of particular 9jcoefficients

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