Variation with the mass number of the oscillator spacing and of other quantities for a hyperon in hypernuclei

Lalazissis, G. A.; Grypeos, M. E.; Massen, S. E.

doi:10.1103/physrevc.37.2098

Cited by 43 publications

(29 citation statements)

References 24 publications

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“…A similar expression is found, for example, by Taylor expanding the modified Pöschl-Teller potential 71 , which, among other applications, has been recently used in the description of hypernuclei 72,73,74,75 . The modified Pöschl-Teller potential (see also subsec.…”

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confidence: 67%

Quantum groups and their applications in nuclear physics

Bonatsos

Daskaloyannis

1999

Progress in Particle and Nuclear Physics

198

203

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Quantum algebras are a mathematical tool which provides us with a class of symmetries wider than that of Lie algebras, which are contained in the former as a special case. After a self-contained introduction to the necessary mathematical tools (q-numbers, q-analysis, q-oscillators, q-algebras), the su q (2) rotator model and its extensions, the construction of deformed exactly soluble models (u(3)⊃so (3) model, Interacting Boson Model, Moszkowski model), the 3-dimensional q-deformed harmonic oscillator and its relation to the nuclear shell model, the use of deformed bosons in the description of pairing correlations, and the symmetries of the anisotropic quantum harmonic oscillator with rational ratios of frequencies, which underly the structure of superdeformed and hyperdeformed nuclei, are discussed in some detail. A brief description of similar applications to the structure of molecules and of atomic clusters, as well as an outlook are also given.

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confidence: 67%

Quantum groups and their applications in nuclear physics

Bonatsos

Daskaloyannis

1999

Progress in Particle and Nuclear Physics

198

203

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“…The best fit values are D = 34.31 MeV, rp=l 144. fm. In both cases the best fit values lead to a shallower but a little wider potential well, compared with those of an earlier study [11] where, however, experimental data for the ground state BA from older experiments with less accuracy had been used. The depth in the second fit is slightly smaller, the relative diference being 3.5'Po, while the range is a little longer.…”

Section: Numerical Results and Commentsmentioning

confidence: 58%

“…do=i (8mpDro ) (13) The first term dependent on A, is proportional to A, and not to A, / as for the square well and the WoodsSaxon potentials [14 -21]. Such a behavior of B~is observed for the first time, to our knowledge, on the basis of a potential model (with D and ro independent of A) [11]. This behavior should be attributed to the shape of the potential which has an extended surface region.…”

Section: The Potential Modelmentioning

confidence: 81%

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Analytic expressions for the Λ energy in the lower nodeless Λ single particle states

Lalazissis

1993

Phys. Rev. C

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A A-nucleus single particle potential, mainly suitable for relatively light hypernuclei, which gives analytic expressions for the A energies in the lower nodeless A orbits is used for an analysis of the experimental data. The results are discussed and compared with those obtained, in the same way, for a Woods-Saxon potential. It turns out that the analytic expressions for the B& energies, in the region oF their validity, give results which are close to the experimental values and compare favorably with the ones obtained with the (more realistic) Woods-Saxon hypernuclear potential. Our analysis also shows a state dependence of the depth of the A-nucleus potential which, however, is rather weak. Finally, the use of an effective A mass is also discussed. PACS number(s): 21.80.+a

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“…In the framework of the above approach the most suitable expression for estimating the he) a (for 12< A<40) is given by [10] The estimate of hco A and therefore of P(ni, hi) and their variation with the mass number may also be obtained by following a different procedure which is under detailed investigation by the authors and may be applied to quite a wide class of potentials approximating the A-nucleus interaction.…”

Section: Pacsmentioning

confidence: 99%

Oscillator spacing and the probability for the recoilless ?-production in nuclei

Grypeos

Lalazissis

Massen

et al. 1989

Z. Physik A - Atomic Nuclei

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The relative contribution of the recoilless and quasifree A-production in the (K-, re-) strangeness exchange reaction in nuclei is estimated by using the nuclear Debye-Waller factor. The expressions for the A-oscillator spacing he) a needed for such an estimate are derived by means of procedures which lead to quite simple formulae for ho9 A as function of the mass number and are useful in obtaining improved results. PACS: 21.80The strangeness exchange reaction (K-, r~-) on nuclei plays an important role in hypernuclear spectroscopy and has attracted much interest [1~l]. As is well known, under suitable kinematical conditions, "recoilless A-production" takes place. A neutron is transformed to a A particle occupying the same orbit as the neutron. In such a process, in which the kinematics resembles the kinematics of elastic scattering on nuclei, the momentum mismatch in the (K-, re-) reaction is not taken by the momentum of the A itself but by the momentum of the whole hypernucleus. On the contrary, in the so called "quasi-free A production", which may be compared to the inelastic scattering on nuclei, the A is produced in an orbit neighbouring that of the neutron.The study of the (K-, z~-) reactions on nuclei is based on the assumption that the transitions to hypernuclear states are one-step processes, that is the reaction occurs on a single nucleon without any additional interaction of either incoming K-or outgoing rewith the rest of the nucleus. Such an assumption is confirmed under suitable conditions [3,5].A very simple way has been proposed by Povh [6] for estimating the relative probability for the recoilless A production by exploiting the analogy of this process to the M6ssbauer effect (see [7a] and [7 b], Chaps. 2-4). This probability is given under certain assumptions by the nuclear Debye-Waller factor P(ni, hi) ~exp { -(2hi+ 1) h2qZ/(2ma he)A)},

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Variation with the mass number of the oscillator spacing and of other quantities for a hyperon in hypernuclei

Cited by 43 publications

References 24 publications

Quantum groups and their applications in nuclear physics

Quantum groups and their applications in nuclear physics

Analytic expressions for the Λ energy in the lower nodeless Λ single particle states

Oscillator spacing and the probability for the recoilless ?-production in nuclei

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