Faddeev calculation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">He</mml:mi><mml:mprescripts /><mml:mrow><mml:mi>Λ</mml:mi><mml:mi>Λ</mml:mi></mml:mrow><mml:mn>6</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>using<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">SU</mml:mi></mml:mrow><mml:mn>6</mml:mn></mml:msub></mml:mrow></mml:math

Fujiwara, Y.; Kohno, M.; Miyagawa, K.; Suzuki, Y.; Sparenberg, Jean-Marc

doi:10.1103/physrevc.70.037001

Cited by 38 publications

(67 citation statements)

References 23 publications

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“…In this approach retardation effects from the meson-exchange diagrams are retained (and those of baryonexchange as well) and as a consequence the interaction depends explicitly on the starting energy. This is not convenient if one wants to apply the YN model in conventional few-body [40][41][42][43][44][45][46][47] or many-body [48][49][50][51] investigations. Thus, in Ref.…”

Section: B the Scattering Equationmentioning

confidence: 99%

Jülich hyperon-nucleon model revisited

Haidenbauer¹,

Meißner²

2005

Phys. Rev. C

245

326

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A one-boson-exchange model for the hyperon-nucleon ( N, N ) interaction is presented. The model incorporates the standard one boson exchanges of the lowest pseudoscalar and vector meson multiplets with coupling constants fixed by SU(6) flavor symmetry relations. As the main new feature of the model, the contributions in the scalar-isoscalar (σ ) and vector-isovector (ρ) exchange channels are now constrained by a microscopic model of correlated ππ and KK exchange. Additional short-ranged ingredients of the model in the scalar-isovector (a 0 ) and scalar-isospin-1/2 (κ) channels are likewise viewed as arising from meson-meson correlations but are treated phenomenologically. With this model a satisfactory reproduction of the available hyperon-nucleon data can be achieved.

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Section: B the Scattering Equationmentioning

confidence: 99%

Jülich hyperon-nucleon model revisited

Haidenbauer¹,

Meißner²

2005

Phys. Rev. C

245

326

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“…We give in Table II [4] when only the three-body S wave configurations were included. As a consequence of considering the D waves, the hypertriton binding energy increases by about 50-60 keV [7], while the A 0,1/2 scattering length decreases by about 3-5 fm. The largest changes occur in the A 0,3/2 scattering length where both positive and negative values appeared, which means, in the case of the negative values, that a bound state is generated in the (I, J ) = (0, 3/2) channel.…”

Section: A N N Systemmentioning

confidence: 99%

ΛNNandΣNNsystems at threshold. II. The effect ofDwaves

2007

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Using the two-body interactions obtained from a chiral constituent quark model, we study all N N and NN states with I = 0, 1, 2 and J = 1/2, 3/2 at threshold, taking into account all three-body configurations with S and D wave components. We constrain further the limits for the N spin-triplet scattering length a 1/2,1 . Using the hypertriton binding energy, we find a narrow interval for the possible values of the N spin-singlet scattering length a 1/2,0 . We find that the NN system has a quasibound state in the (I, J ) = (1, 1/2) channel very near threshold with a width of about 2.1 MeV.

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“…Long time interest to the 9 Λ Be hypernucleus can be explained by usefully applying this system in the hyperonnucleon interaction studies (in particular, for the spin-orbit component of this interaction) [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

“…The bound states have been studied within the α + α + Λ model in a number of works [2,3,[5][6][7][8][9][10][11][12]. Nevertheless, theoretical studies for resonance states of 9 Λ Be in the cluster model are limited by qualitative description of the 9 Λ Be spectrum [3,[13][14][15].…”

Section: Introductionmentioning

confidence: 99%

“…For the αΛ potential a type of coordinate dependence is uncertain. The αΛ experimental data are limited by the value of the binding energy of the 5 Λ He hypernucleus, which is considered as the bound s-wave state of the αΛ system. In our calculations, several phenomenological models are applied for the central part a e-mail: ifilikhin@nccu.edu of αΛ interaction.…”

Section: Introductionmentioning

confidence: 99%

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Faddeev calculations for the_Λ⁹Be spectrum

Filikhin

Suslov

Vlahović

2010

EPJ Web of Conferences

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Abstract. An α-cluster model is applied to study low-lying spectrum of the 9 Λ Be hypernicleus. The ααΛ threebody problem is numerically solved by the Faddeev equations in configuration space using phenomenological pair potentials. Found is a set of the potentials that reproduces experimental data for the ground state ( 1 2 + ) binding energy and excitation energy of the 5 2 + and 3 2 + states, simultaneously. This set includes the Ali-Bodmer potential of version "e" for αα and modified Tang-Herndon potential for αΛ interactions. The spin-orbit αΛ interaction is given by modified Scheerbaum potential. Low-lying energy levels are evaluated applying a variant of the analytical continuation method in coupling constant, and the experimental data for excitation energies are well reproduced by our calculations. This result improves previous α-cluster calculations. It is shown that the spectral properties of 9 Λ Be can be classified as an analog of 9 Be spectrum with the exception of several "genuine hypernuclear states", which agrees qualitatively with previous studies. The energy splitting of spin-flip doublet ( 9 2 + , 7 2 + ) is predicted.

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Faddeev calculation ofHeΛΛ6usingSU6

Cited by 38 publications

References 23 publications

Jülich hyperon-nucleon model revisited

Jülich hyperon-nucleon model revisited

ΛNNandΣNNsystems at threshold. II. The effect ofDwaves

Faddeev calculations for the_Λ⁹Be spectrum

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Faddeev calculation ofHeΛΛ6usingSU6

Cited by 38 publications

References 23 publications

Jülich hyperon-nucleon model revisited

Jülich hyperon-nucleon model revisited

ΛNNandΣNNsystems at threshold. II. The effect ofDwaves

Faddeev calculations for theΛ9Be spectrum

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Faddeev calculations for the_Λ⁹Be spectrum