<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mrow /><mml:mrow><mml:mi>Λ</mml:mi><mml:mi>Λ</mml:mi></mml:mrow><mml:mrow><mml:mspace width="0.28em" /><mml:mspace width="0.28em" /><mml:mspace width="0.28em" /><mml:mspace width="1.0pt" /><mml:mn>4</mml:mn></mml:mrow></mml:msubsup></mml:math>H in halo effective field theory

Ando, Shung-Ichi; Yang, Gi Young; Oh, Yongseok

doi:10.1103/physrevc.89.014318

Cited by 23 publications

(32 citation statements)

References 33 publications

(65 reference statements)

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“…[13,14] and references therein. In the previous publication [15], we studied 4 H, a bound state of a light double hypernucleus, and the S-wave scattering of and 3 H below the hypertriton breakup threshold by treating 4 H as a three-body ( --deuteron) system in cluster effective field theory (EFT) at leading order (LO).…”

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confidence: 99%

“…The dots denote higher order terms. The Lagrangian of the auxiliary fields s and t are given by L s and L t , respectively, where s is the dibaryon field of two particles in the 1 S 0 channel and t is the composite field of the ( α) system in the 5 He (S = 1/2) channel [15,22,23],…”

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confidence: 99%

“…The dibaryon s state was investigated in our previous publication [15], where the Feynman diagrams for the dressed dibaryon propagator can be found. The renormalized dressed dibaryon propagator is obtained as…”

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HeΛΛ6in cluster effective field theory

Ando

2014

Phys. Rev. C

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The hypernucleus 6 He is studied as a three-body ( α) cluster system in cluster effective field theory at leading order. We find that the three-body contact interaction exhibits the limit cycle when the cutoff in the integral equations is sent to the asymptotic limit and thus it should be promoted to leading order. We also derive a determination equation of the limit cycle which reproduces the numerically obtained limit cycle. We then study the correlations between the double separation energy B of 6 He and the scattering length a of the S-wave scattering. The role of the scale in this approach is also discussed.Although the first observation of 6 He was reported in 1960s [1], there have been only a few reports on this light hypernucleus [2,3]. Among them, a track of 6 He was clearly caught in an emulsion experiment of the KEK-E373 Collaboration [3], now known as the "NAGARA" event, and the two-separation energy B of 6 He is estimated as B = 6.93 ± 0.16 MeV after being averaged with that from the "MIKAGE" event [4,5]. This would be essential information to study the interaction. On the other hand, theoretical studies for double hypernuclei mainly aim at extracting information on baryon-baryon interactions in the strangeness sector and searching for new exotic systems for which the value of B of 6 He plays an important role [6,7]. Theoretical studies on 6 He have been reported with various issues [8][9][10][11][12], primarily employing the three-body ( α) cluster model. One of those issues is the role of the mixing of the N channel in the interaction which is triggered by the small mass difference, about 23 MeV, between N and[11]. Effective field theories at very low energies are expected to provide a model-independent and systematic perturbative method where one introduces a high momentum separation scale H between relevant degrees of freedom in low energy and irrelevant degrees of freedom in high energy for the system in question. Then one constructs an effective Lagrangian expanded in terms of the number of derivatives order by order. Coupling constants appearing in the effective Lagrangian should be determined from available experimental or empirical data. For a review, see, e.g., Refs. [13,14] and references therein. In the previous publication [15], we studied 4 H, a bound state of a light double hypernucleus, and the S-wave scattering of and 3 H below the hypertriton breakup threshold by treating 4 H as a three-body ( --deuteron) system in cluster effective field theory (EFT) at leading order (LO).In this work, we apply this approach to study the structure of 6 He as a three-body ( α) cluster system. For this * sando@sunmoon.ac.kr † yohphy@knu.ac.kr purpose, we treat the α particle field as an elementary field. The binding energy of the α particle is B 4 28.3 MeV and its first excited state has the quantum numbers (J π = 0 + ,I = 0) and the excitation energy of E 1 20.0 MeV, which is between the energy gap of 3 H-p (19.8 MeV) from the ground state energy and that of 3 He-n (20.6 MeV). Thus the large momentu...

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HeΛΛ6in cluster effective field theory

Ando

2014

Phys. Rev. C

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“…This allows one to investigate the nature of bound states in three-body systems by using the properties of the limit cycle. ΛΛ as a three-body (ΛΛd) system in an EFT at LO [7]. In the present study, we treat the α particle as an elementary field.…”

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confidence: 99%

_ΛΛ⁶He in cluster effective field theory

Ando

2016

EPJ Web of Conferences

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Abstract. The bound state of He 6 ΛΛ is studied as a three-body (ΛΛα) system in a cluster effective field theory at leading order. We find that the system exhibits the limit cycle that is associated with the formation of bound states called the Efimov states. This implies that the three-body contact interaction should be promoted to the leading order. The relationship of the binding energy and the ΛΛ scattering length is discussed as well as the role of the scale of this system.

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“…[39]. Finally, halo nuclei containing strange baryons are also amenable to halo EFT [40][41][42][43], but the scarcity of data in this sector presents a particular challenge.…”

Section: Halo Eftmentioning

confidence: 99%

Few-Body Universality in Halo Nuclei

Hammer

2016

EPJ Web of Conferences

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Abstract. Few-body systems with resonant S-wave interactions show universal properties which are independent of the interaction at short distances. These properties include a geometric spectrum of three-and higher-body bound states and universal correlations between few-body observables. They can be observed on a wide range of scales from hadrons and nuclei to ultracold atoms. In this contribution, we focus on few-body universality in halo nuclei which can be considered as effective few-body systems consisting of halo nucleons and a core. This concept provides a unifying framework for halo nuclei with calculable corrections. Recent progress in this field with an emphasis on the possibility of finding Efimov states in halo nuclei is discussed.

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ΛΛ4H in halo effective field theory

Cited by 23 publications

References 33 publications

HeΛΛ6in cluster effective field theory

HeΛΛ6in cluster effective field theory

_ΛΛ⁶He in cluster effective field theory

Few-Body Universality in Halo Nuclei

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ΛΛ4H in halo effective field theory

Cited by 23 publications

References 33 publications

HeΛΛ6in cluster effective field theory

HeΛΛ6in cluster effective field theory

ΛΛ6He in cluster effective field theory

Few-Body Universality in Halo Nuclei

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_ΛΛ⁶He in cluster effective field theory