Correlated hyperspherical harmonics

Zickendraht, W.; Levinger, J. S.

doi:10.1002/andp.19925040207

Cited by 5 publications

(5 citation statements)

References 8 publications

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“…while there are several different ways for definition of the hyperspherical angles (see for instance, [23][24][25]). We make use the most popular set of hyperspherical angles which was suggested by Zernike and Brinkman in 1935 [26].…”

Section: A Three-cluster Wave Functionmentioning

confidence: 99%

Systematic investigation of the Hoyle-analog states in light nuclei

2018

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We investigate resonance states in three-cluster continuum of some light nuclei 9 Be, 9 B, 10 B, 11 B and 11 C. These nuclei are considered to have a three-cluster configuration consisting of two alphaparticles and neutron, proton, deuteron, triton and nucleus 3 He. In this study, we make use two different microscopic three-cluster models. The first model employs the Hyperspherical Harmonics basis to numerate channels and describe three-cluster continuum. The second model is the wellknown complex scaling method. The nucleon-nucleon interaction is modeled by the semi-realistic Minnesota and Hasegawa-Nagata potentials. Our main aim is to find the Hoyle-analog states in these nuclei or, in other words, whether it is possible to synthesize these nuclei in a triple collision of clusters. We formulate the criteria for selecting such states and apply them to resonance states, emerged from our calculations. We found that there are resonance states obeying the formulated criteria which make possible syntheses of these nuclei in a stellar environment.

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Section: A Three-cluster Wave Functionmentioning

confidence: 99%

Systematic investigation of the Hoyle-analog states in light nuclei

2018

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“…In this NGP case ( s = 0) L and n have the same parity as Π and will be designated simply as L Π and n Π respectively, with the subscript s omitted. The G functions of eq 6.1 are then given by where the values of in the summation include only those that have the same parity as Π and the function depends on the parity of J and Π, as indicated below:…”

Section: Explicit Determination Of the G Hh For Triatomic Systemsmentioning

confidence: 99%

Incorporating the Geometric Phase Effect in Triatomic and Tetraatomic Hyperspherical Harmonics

Kuppermann

2006

J. Phys. Chem. A

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Hyperspherical harmonics in the democratic row-orthonormal hyperspherical coordinates are very appropriate basis sets for performing reactive scattering calculations for triatomic and tetraatomic systems. The mathematical conditions for incorporating the geometric phase effect in these harmonics are given. These conditions are implemented for triatomic systems, and their explicit analytical expressions in terms of Jacobi polynomials, in both the absence and presence of the geometric phase effect, are given.

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“…As a numerical method for solving Eq. (8), we mention that we use the hyperspherical formalism [22]; the framework is explained in more detail in [23,24]. In order to test the validity of our model, we consider the mass spectrum of a B c (cb) meson in Appendix A, where our results are shown together with experimental data.…”

Section: A Constituent Gluon Model For a Cbgmentioning

confidence: 99%

Masses and decays of the bottom-charm hybrid meson cb¯g

Miyamoto

Yasui

2019

Phys. Rev. D

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We study gluonic excitations inside a Bc meson in the constituent gluon model, treating a bottomcharm hybrid meson cbg as a three-body system. We obtain the mass spectra for the hybrid mesons with magnetic gluon and electric gluon and see that their lowest states appear above the DB threshold. Also, we consider the decays of the low-lying states of the hybrid meson into DBs mesons, developing an existing model for the strong decays. We estimate their partial decay widths and find that the widths have a heavy dependence on the final meson states. We argue that the accuracy of our model will be tested experimentally when the branching ratios of the decays are measured. Our results suggest that there could be a prospect that the hybrid meson will be discovered as its first excited state rather than its lowest state.

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Correlated hyperspherical harmonics

Cited by 5 publications

References 8 publications

Systematic investigation of the Hoyle-analog states in light nuclei

Systematic investigation of the Hoyle-analog states in light nuclei

Incorporating the Geometric Phase Effect in Triatomic and Tetraatomic Hyperspherical Harmonics

Masses and decays of the bottom-charm hybrid meson cb¯g

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