An Extension of the Fractional Parentage Expansion to Nonrelativistic and Relativistic SU(3)fSU(3)_{f} Dibaryon Calculations

The fractional parentage expansion method is extended from $SU(2)_{f}$ nonrelativistic to $SU(3)_{f}$ and relativistic dibaryon calculations. A transformation table between physical bases and symmetry bases for the $SU(3)_{f}$ dibaryon is provided. A program package has been written for dibaryon calculation based on the fractional parentage expansion method.Comment: 15 pages text plus 18 pages tables, latex, no figure

On the secondly quantized theory of many-electron atom

Traditional theory of many-electron atoms and ions is based on the coefficients of fractional parentage and matrix elements of tensorial operators, composed of unit tensors. Then the calculation of spin-angular coefficients of radial integrals appearing in the expressions of matrix elements of arbitrary physical operators of atomic quantities has two main disadvantages: (i) The numerical codes for the calculation of spin-angular coefficients are usually very time-consuming; (ii) f-shells are often omitted from programs for matrix element calculation since the tables for their coefficients of fractional parentage are very extensive. The authors suppose that a series of difficulties persisting in the traditional approach to the calculation of spin-angular parts of matrix elements could be avoided by using this secondly quantized methodology, based on angular momentum theory, on the concept of the irreducible tensorial sets, on a generalized graphical method, on quasispin and on the reduced coefficients of fractional parentage

Dipole and Quadrupole Moments of Mirror Nuclei 8B and 8li

Magnetic dipole and electric quadrupole moments of the mirror nuclei 8Li and 8B are analysed in the framework of the multiparticle shell model by using two approaches : i) the one-particle spectroscopic factors and ii) the one-particle fractional parentage coefficients. These two approaches are compared both each to other and with a microscopic multicluster model. The one-particle nucleon states are calculated taking into account the continuum by the method of the expansion of the Sturm - Liouville functions. The experimental magnetic and quadrupole moments of 8Li and 8Bare reproduced well by using fractional parentage coefficients technique. The root mean-square radii and the radial density distributions are obtained for these nuclei.Comment: 20 pages 1 figur

The Constitutional Limits on Custodial and Support Parentage by Consent

Prompted by the National Conference of Commissioners on Uniform State Laws through its Uniform Parentage Acts, and by the American Law Institute through its Family Dissolution Principles and its Restatement Draft on Children and the Law, recently U.S. state legislators and judges have spurred a revolution in parentage laws. In particular, lawmakers have expanded parental custody opportunities and parental support obligations for those without biological (actual or presumed) or formal adoptive ties by recognizing ever-increasing forms of legal parentage by consent. Lawmakers have revolutionized parentage in some startling ways, as by deeming women to be parents under written paternity laws (including laws on marital paternity presumptions and on voluntary paternity acknowledgements). Unfortunately, U.S. state lawmakers have not always acted in ways compatible with constitutional (federal and state) constraints. This article is the first to review comprehensively the constitutional issues arising from the new U.S. state laws on parentage by consent, including residency/hold out parentage; spousal parentage; de facto parentage; voluntary acknowledgment parentage; and assisted reproduction parentage. These issues most often arise when forms of “presumed consent” are employed, meaning there is neither earlier actual nor apparent consent to justify impositions of shared (if not eliminated) child custody upon expecting or existing legal parents or to justify impositions of child support upon those then nonparents who object. Presumed consent, unlike “common authority” in Fourth Amendment search cases, should not generally operate in parentage by consent settings. If it does operate, public awareness should be enhanced by education initiatives so that important Due Process interests are not lost without at least some prior notice of the revolutionary parentage laws sweeping across the United States

A new intergeneric hybrid: x<i>Gastonialoe</i> 'Gordon Rowley'

A new intergeneric hybrid genus xGastonialoe is named for crosses with the parentage Gasteria x Gonialoe (Aloe). An attractive cultivar in this new nothogenus is named xGastonialoe 'Gordon Rowley', in honour of an ardent champion of such hybrids

Relations Between Coefficients of Fractional Parentage

For each of the (9/2), (11/2) and (13/2) single j shells we have only one state with J=j V=3 for a five particle system. For four identical particles there can be more than one state of seniority four. We note some ``ratio'' relations for the coefficients of fractional parentage for the four and five identical particle systems

Choosing Among Imprecise American State Parentage Laws

Not too long ago American state laws chiefly designated parentage at precise moments in time. One became a parent upon giving birth; upon having one’s spouse give birth; upon formal adoption; upon completion of a birth certificate or a voluntary paternity acknowledgment; or upon a paternity case judgment. These parentage designations in one state would usually be respected by other states, even though certain parentage designations – as with a marital paternity presumption or a voluntary parentage acknowledgment – could later be voided, as through a rebuttal or recission occurring without a parental rights termination proceeding and at no precise moment in time. Today American state laws increasingly also allow for parentage designations to be based on conduct occurring at no precise moment in time, as with residing with and supporting a child, typically called de facto or presumed parenthood. Such designations are also sometimes voidable due to earlier conduct occurring at no precise moment in time. When conduct relevant to legal parentage occurs in one state and legal parentage is later to be initially determined in another state, the second state’s court frequently fails to respect the imprecise parentage laws of the state where the conduct occurred. Comparably, the second state’s court often fails to respect the first state’s norms on voiding legal parentage though the relevant conduct occurred there. While respect is not always due, applications by the second state’s court of its own parentage laws should not be automatic. Yet proposed uniform, as well as federal and state, statutes suggest this mandate. This paper urges that a second state’s court should explore in parentage cases whether there are conflicting, imprecise parentage laws and, if so, whether it should utilize its own choice of law rules to resolve any conflict. This may mean, as when choice of law rules compel an interest analysis, that the resolution of which state’s imprecise parentage law controls may vary depending upon context. For example, parentage law choices may differ in multistate child support and childcare cases where an alleged parent lives in the forum while the child and custodial parent live outside the forum

Low-density genotype panel for both parentage verification and discovery in a multi-breed sheep population

peer-reviewedThe generally low usage of artificial insemination and single-sire mating in sheep, compounded by mob lambing (and lambing outdoors), implies that parentage assignment in sheep is challenging. The objective here was to develop a low-density panel of single nucleotide polymorphisms (SNPs) for accurate parentage verification and discovery in sheep. Of particular interest was where SNP selection was limited to only a subset of chromosomes, thereby eliminating the ability to accurately impute genome-wide denser marker panels. Data used consisted of 10,933 candidate SNPs on 9,390 purebred sheep. These data consisted of 1,876 validated genotyped sire–offspring pairs and 2,784 validated genotyped dam–offspring pairs. The SNP panels developed consisted of 87 SNPs to 500 SNPs. Parentage verification and discovery were undertaken using 1) exclusion, based on the sharing of at least one allele between candidate parent–offspring pairs, and 2) a likelihood-based approach. Based on exclusion, allowing for one discordant offspring–parent genotype, a minimum of 350 SNPs was required when the goal was to unambiguously identify the true sire or dam from all possible candidates. Results suggest that, if selecting SNPs across the entire genome, a minimum of 250 carefully selected SNPs are required to ensure that the most likely selected parent (based on the likelihood approach) was, in fact, the true parent. If restricting the SNPs to just a subset of chromosomes, the recommendation is to use at least a 300-SNP panel from at least six chromosomes, with approximately an equal number of SNPs per chromosome