New description of orbital motion with arbitrary angular momenta

Suzuki, Y.; Usukura, J.; Varga, K.

doi:10.1088/0953-4075/31/1/007

Cited by 67 publications

(70 citation statements)

References 41 publications

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“…A procedure based on the stochastic search for the best set of nonlinear parameters can be programmed efficiently [4,11] and is capable of achieving highly accurate results for most few-body systems [2,4,7,12]. The essence of the strategy can be summarized as follows: Let The essential reason motivating this strategy is the need to sample different sets of nonlinear parameters as fast as possible.…”

Section: The Stochastic Variational Methodsmentioning

confidence: 99%

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Signature of the existence of the positronium molecule

1998

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Section: The Stochastic Variational Methodsmentioning

confidence: 99%

“…[7,22]. The main aim of this section is to convince the reader that the formulae are particularly simple for the case of K = 0.…”

Section: Appendix A: Evaluation Of Matrix Elementsmentioning

confidence: 99%

Signature of the existence of the positronium molecule

1998

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“…For states with natural parity, i.e., for states whose parity is given by Π = (−1) L , we choose l 1 = L and l 2 = 0 [32][33][34][35]. For states with unnatural parity (L > 0), i.e., for states whose parity is given by Π = (−1)…”

Section: System Under Study and Stochastic Variational Approachmentioning

confidence: 99%

“…For notational simplicity, we omit the subscripts of the matrix A k and the vectors u 1k and u 2k , and consider the matrix elements between the unsymmetrized basis functions ψ and ψ ′ characterized by (A, u 1 , u 2 ) and (A ′ , u [32][33][34][35][36][37] and are summarized here for completeness.…”

Section: Appendix A: Matrix Elementsmentioning

confidence: 99%

Natural and unnatural parity states of small trapped equal-mass two-component Fermi gases at unitarity and fourth-order virial coefficient

2012

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Equal-mass two-component Fermi gases under spherically symmetric external harmonic confinement with large s-wave scattering length are considered. Using the stochastic variational approach, we determine the lowest 286 and 164 relative eigenenergies of the (2, 2) and (3, 1) systems at unitarity as a function of the range r0 of the underlying two-body potential and extrapolate to the r0 → 0 limit. Our calculations include all states with vanishing and finite angular momentum L (and natural and unnatural parity Π) with relative energy up to 10.5 Ω, where Ω denotes the angular trapping frequency of the external confinement. Our extrapolated zero-range energies are estimated to have uncertainties of 0.1% or smaller. The (2, 2) and (3, 1) energies are used to determine the fourth-order virial coefficient of the trapped unitary two-component Fermi gas in the low-temperature regime. Our results are compared with recent predictions for the fourth-order virial coefficient of the homogeneous system. We also calculate small portions of the energy spectra of the (3, 2) and (4, 1) systems at unitarity.

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“…It is vital to allow for various types of correlation among the quarks. For the orbital part, we use an explicitly correlated Gaussian basis in a global representation [22,23,27]:…”

Section: B Basis Functionmentioning

confidence: 99%

Structure and decay width of the in a one-gluon exchange model

Matsumura

Suzuki

2006

Nuclear Physics A

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The mass and decay width of the Θ + (1540) with isospin 0 are investigated in a constituent quark model comprising uudds quarks. The resonance state for the Θ + is identified as a stable solution in correlated basis calculations. With the use of a one-gluon exchange quark-quark interaction, the mass is calculated to be larger than 2 GeV, increasing in order of the spin-parity, 1 2 − , 3 2 − and 1 2 + ( 3 2 + ), and only the 3 2 − state has a small width to the nK * + decay. If the calculated mass is shifted to around 100 MeV above the N +K threshold, the Θ + (1540) is possibly 1 2 + ( 3 2 + ) or 3 2 − , though in the latter case it cannot decay to the nK + channel. In addition it is conjectured that other pentaquark state with different spin-parity exists below the Θ + (1540). The structure of the Θ + is discussed through the densities and two-particle correlation functions of the quarks and through the wave function decomposition to a baryon-meson model and a diquark-pair model.

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New description of orbital motion with arbitrary angular momenta

Cited by 67 publications

References 41 publications

Signature of the existence of the positronium molecule

Signature of the existence of the positronium molecule

Natural and unnatural parity states of small trapped equal-mass two-component Fermi gases at unitarity and fourth-order virial coefficient

Structure and decay width of the in a one-gluon exchange model

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