Precise solution of few-body problems with the stochastic variational method on a correlated Gaussian basis

Varga, K.; Suzuki, Y.

doi:10.1103/physrevc.52.2885

Cited by 439 publications

(546 citation statements)

References 59 publications

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“…We list in Table I the masses of some mesons and baryons calculated using the SVM [22,23]. The parameters of the potential are also given in the table.…”

Section: A Hamiltonianmentioning

confidence: 99%

“…We use the correlated Gaussian because there are many examples which demonstrate its power for an accurate description of few-particle systems [22,23]. Clearly our orbital part is translation-invariant, so our theory is free from any spurious center of mass motion.…”

Section: B Basis Functionmentioning

confidence: 99%

“…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%

“…To predict the mass and decay width of the Θ + , we use a real stabilization method [21] which utilizes square-integrable basis functions to localize the resonance. We use a stochastic variational method [22,23] (SVM) to set up the basis set which describes resonance states. Our emphasis here is not to include continuum states explicitly but to localize the resonance in a simple way, which makes it possible to calculate the reduced width.…”

Section: Introductionmentioning

confidence: 99%

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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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“…We list in Table I the masses of some mesons and baryons calculated using the SVM [22,23]. The parameters of the potential are also given in the table.…”

Section: A Hamiltonianmentioning

confidence: 99%

Section: B Basis Functionmentioning

confidence: 99%

“…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%

Section: Introductionmentioning

confidence: 99%

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

Matsumura

Suzuki

2006

Nuclear Physics A

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“…This method has given the lowest total energies for few particle systems including a positron [9][10][11]. Thereafter, from the many-body positron density we derive a single particle positron potential for Ps interacting with He similarly to Ref.…”

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confidence: 99%

Pick-Off Annihilation of Positronium in Matter Using Full Correlation Single Particle Potentials: Solid He

2015

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We investigate the modeling of positronium (Ps) states and their pick-off annihilation trapped at open volumes pockets in condensed molecular matter. Our starting point is the interacting many-body system of Ps and a He atom because it is the smallest entity that can mimic the energy gap between the highest occupied and lowest unoccupied molecular orbitals of molecules and yet the the many-body structure of the HePs system can be calculated accurately enough. The exactdiagonalization solution of the HePs system enables us to construct a pair-wise full-correlation single-particle potential for the Ps-He interaction and the total potential in solids is obtained as a superposition of the pair-wise potentials. We study in detail Ps states and their pick-off annihilation rates in voids inside solid He and analyse experimental results for Ps-induced voids in liquid He obtaining the radii of the voids. More importantly, we generalize our conclusions by testing the validity of the Tao-Eldrup model, widely used to analyse ortho-Ps annihilation measurements for voids in molecular matter, against our theoretical results for the solid He. Moreover, we discuss the influence of the partial charges of polar molecules and the strength of the van der Waals interaction on the pick-off annihilation rate.

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Binding Energy of Biexcitons in Quantum Wells

Denschlag

Baltz²

1999

phys. stat. sol. (b)

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Precise solution of few-body problems with the stochastic variational method on a correlated Gaussian basis

Cited by 439 publications

References 59 publications

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

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

Pick-Off Annihilation of Positronium in Matter Using Full Correlation Single Particle Potentials: Solid He

Binding Energy of Biexcitons in Quantum Wells

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