Structure of the 4ΣHe hypernuclear bound state

Harada, Tomohiro; Shinmura, Shōji; Akaishi, Yoshinori; Tanaka, Hajime

doi:10.1016/0375-9474(90)90178-o

Cited by 112 publications

(67 citation statements)

References 12 publications

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“…Several studies suggest that due to strongly repulsive Σ-nucleus potential Sigmas are unbound in nuclei, except for the very special case of nuclei with mass number A=4 [6]. Existance of a T= 1/2, S= 0 bound state in 4 Σ He was first predicted by Harada et al [7] and has been found experimentally [8], [9], [10], [11]. The 1/A dependence of the Lane term present in the isospin-dependent Σ-nucleus potential [7] reduces the possibility of finding bound Σ-hypernuclei with large A.…”

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confidence: 99%

Generalized mass formula for non-strange and hypernuclei withSU(6) symmetry breaking

Samanta

Chowdhury

Basu

2006

J. Phys. G: Nucl. Part. Phys.

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A simultaneous description of non-strange nuclei and hypernuclei is provided by a single mass formula inspired by the spin-flavour SU(6) symmetry breaking. This formula is used to estimate the hyperon binding energies of Lambda, double Lambda, Sigma, Cascade and Theta hypernuclei. The results are found to be in good agreement with the available experimental data on 'bound' nuclei and relativistic as well as quark mean field calculations. This mass formula is useful to estimate binding energies over a wide range of masses including the light mass nuclei. It is not applicable for repulsive potential.Keywords : Hypernuclei, Hyperon binding energy, Exotic nuclei, Mass formula, Separation Energy. PACS numbers: 21.80.+a, 21.10.Dr, 32.10.Bi, 12.90.+b The hypernuclear physics is of great importance in many branches of physics. Of particular interest is the understanding of strange particles in baryonic matter, since many questions in heavy-ion physics, particle physics and astrophysics are related to the effect of strangeness (S) in nuclear matter. Moreover, the contribution of the hyperons strongly influences the mass of neutron stars as well. In the past decade considerable amount of spectroscopic informations were accumulated experimentally on the Λ 0 (S=-1)hypernuclei. The Λ separation energies were determined for the ground states of about 40 Λ hypernuclei including several double-Λ hypernuclei [1], [2]. Doubly strange hypernuclei also arise in a form of Ξ − (S=-2) hypernuclei and were studied both theoretically In this scenario, an exotic hyperon Θ + (S=+1, mass ∼1530 MeV, width <15 MeV ) with exotic pentaquark structure was predicted in 1997 [12]. Announcement of its discovery at Spring-8, Japan [13] sparked an avalanche of activities in the field of hyperons and hypernuclei [14]. Now a question has arisen whether the Θ + hyperon really exists [15] and if so, whether it will be bound in a nucleus [16], [17]. Calculations in a relativistic mean-field formalism (RMF) suggest that as there is an attractive Θ + -nucleus interaction, the Θ + particle can be bound in nuclei and, the Θ + hypernuclei would be bound more strongly than Λ hypernuclei [18]. Recent calculations in quark mean-field (QMF) model also support existence of bound Θ + hypernuclei and predict that in comparison to Λ hypernuclei more bound states are there in Θ + hypernuclei [19]. While a search for bound Theta hypernuclei is on, for a large number of hypernuclei, including double Lambdas, Cascade and Sigmas, more experimental data are needed. One also needs to have an apriori estimation of their possible binding energies in a wide mass range for planning of the experiment and to locate the peaks in the experimental missing mass spectra.Although the Λ, Σ, Ξ and Θ hyperons are all baryons, no single mass formula exists which can predict the binding energies of all of them on the same footing as the non-strange nuclei. In this work we present a generalized mass formula for both the strange and non-strange nuclei which does not disregard the normal nu...

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confidence: 99%

Generalized mass formula for non-strange and hypernuclei withSU(6) symmetry breaking

Samanta

Chowdhury

Basu

2006

J. Phys. G: Nucl. Part. Phys.

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“…The positions of these poles can be determined on the different Riemann sheets by solving the multichannel Lippmann-Schwinger equation. It is shown that a promising signal of the 4 Σ He resonant state could be clearly observed above the Σ threshold in the conversion spectrum in tagged-Λ measurements.…”

Section: Resultsmentioning

confidence: 95%

“…Dabrowski [3] investigated pole trajectories in the complex E plane by changing a complex optical potential that is widely used to describe cross sections and spectra in nuclear dynamics. Consequently, a Σ hypernuclear state seems to be one of the most interesting objects to see the dynamics with the coupling and absorption caused by strong Σ-Λ conversion processes [4,5].…”

Section: Introductionmentioning

confidence: 99%

“…It has been recognized that a 4 Σ He hypernucleus is experimentally confirmed in 4 He(K − , π − ) reactions at KEK [6,7] and BNL [8], ending a decade-long discussion of whether 4 Σ He is a Σ bound state or not [9,10]. This state may be identified as an s-wave Σ quasibound (or unstable bound) state with J π = 0 + , T ≃ 1/2 [10].…”

Section: Introductionmentioning

confidence: 99%

“…We discuss the inclusive and Σ-Λ conversion spectra in the 4 He(K − , π − ) reaction at 1.5 GeV/c in order to search for evidence of p-wave Σ resonant states in 4 Σ He at J-PARC experiments [12].…”

Section: Introductionmentioning

confidence: 99%

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Pole of the S Matrix of the \(_{\Sigma }^{4}\text{He}\) Hypernucleus on Riemann Sheets

Harada¹,

Hirabayashi²

2017

Proceedings of the 12th International Conference on Hypernuclear and Strange Particle Physics (HYP2015)

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On bound states in two‐body systems

Frolov

Smith

1995

Int J of Quantum Chemistry

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The Hamiltonian of an arbitrary two-body nonrelativistic system is written in closed form in terms of generators of the noncompact O(2,l) Lie algebra. The bound-states problem in such systems is investigated with the help of the self-adjoint irreducible representations of this algebra (positive discrete series). It is shown that the initial Schrodinger equation can be reduced to a simple eigenvalue problem, in which all matrices can be determined easily from the basic properties of the O(2,l) algebra and by applying the explicit form of the potential interaction. Based on such algebraic considerations, we obtain a number of useful relations between the expectation values of the potential and kinetic energies for the so-called prethreshold states, i.e., those bound ( E < 0) states for which E = 0. 0 1995 John Wiley & Sons, Inc.

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Structure of the 4ΣHe hypernuclear bound state

Cited by 112 publications

References 12 publications

Generalized mass formula for non-strange and hypernuclei withSU(6) symmetry breaking

Generalized mass formula for non-strange and hypernuclei withSU(6) symmetry breaking

Pole of the S Matrix of the \(_{\Sigma }^{4}\text{He}\) Hypernucleus on Riemann Sheets

On bound states in two‐body systems

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