Application of ATMS to the 4He Trimer and Tetramer

Nakaichi, S.; Akaishi, Yoshinori; Tanaka, Hajime; Lim, T. K.

doi:10.1007/3-540-09099-1_32

Cited by 2 publications

(4 citation statements)

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“…Helium systems have been studied extensively with various 4 He- 4 He potentials, see for example Refs. [26][27][28][29][30][31][32][33][34][35][36][37][38]. In EFT, the three- 4 He system has been studied up to N 2 LO [6,7,11,39] using a formulation based on a dimer auxiliary field and on a sharp-momentum regularization with two-and three-body parameters Λ 2 Λ 3 .…”

Section: Introductionmentioning

confidence: 99%

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Effective field theory for few-boson systems

2016

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We study universal bosonic few-body systems within the framework of effective field theory at leading order (LO). We calculate binding energies of systems of up to six particles and the atomdimer scattering length. Convergence to the limit of zero-range two-and three-body interactions is shown, indicating that no additional few-body interactions need to be introduced at LO. Generalizations of the Tjon line are constructed, showing correlations between few-body binding energies and the binding energy of the trimer, for a given dimer energy. As a specific example, we implement our theory for 4 He atomic systems and show that the results are in surprisingly good agreement with those of sophisticated 4 He-4 He potentials. Potential implications for the convergence of the EFT expansion are discussed.

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Section: Introductionmentioning

confidence: 99%

“…When the excited trimer binding energy B * 3 is used to fix the three-body force parameter, the ground-state trimer and tetramer binding energies converge in the zero-range limit. Both trimer and tetramer [26] ground-state energies are correlated with the excited trimer energy.…”

Section: Introductionmentioning

confidence: 99%

Effective field theory for few-boson systems

2016

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“…With this Λ * Λ * interaction, the binding energy, BE m , of the (Λ * ) m multiplet (m-body system of Λ * ) is calculated by the variational method named ATMS. 22) The obtained effective mass of…”

Section: §1 Introductionmentioning

confidence: 99%

“…Fig.3. Effective mass of Λ * in the (Λ * )m multiplet calculated by the variational method ATMS22) for multiplicity m = 2, 4, 6, 8. "DISTO" (or "J-PARC E15") Λ * Λ * interaction is a phenomenological interaction fitted to BE of "DISTO" (or "J-PARC E15").…”

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Kaonic Nuclear Clusters --- a New Paradigm of Particle and Nuclear Physics ---

Akaishi¹,

Yamazaki²

2019

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Λ * =Λ(1405) plays an essential role in forming kaonic nuclear clusters (KNC). The simplest KNC, K − pp, has the structure Λ * p=(K − p) I=0 p, where a real kaon migrates between two nucleons, mediating super-strong Λ * p attraction. Production data of K − pp have been accumulated by DISTO, J-PARC E27 and J-PARC E15 experiments. In the case of K − K − pp, the attractive covalent bond of Λ * Λ * is doubly enhanced compared to the Λ * p one. As a consequence, a m-th Λ * multiplet, (Λ * )m, with m(m − 1)/2 bonds becomes more stable than its corresponding neutron aggregate, (n)m, with m = 8 ∼ 12. This may suggest the possible existence of stable Λ * matter. The production of K − K − pp by high-energy pp or heavy-ion collisions is awaited as a doorway to so-far unknown Λ * matter.

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Application of ATMS to the 4He Trimer and Tetramer

Cited by 2 publications

References 16 publications

Effective field theory for few-boson systems

Effective field theory for few-boson systems

Kaonic Nuclear Clusters --- a New Paradigm of Particle and Nuclear Physics ---

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