Size measurement of dynamically generated hadronic resonances with finite boxes

Sekihara, Takayasu; Hyodo, Tetsuo

doi:10.1103/PhysRevC.87.045202

Size measurement of dynamically generated hadronic resonances with finite boxes

Apr 8, 2013

13 pages

Published in:

Phys.Rev.C 87 (2013) 4, 045202

Published: Apr 8, 2013

e-Print:

1209.0577 [nucl-th]

DOI:

10.1103/PhysRevC.87.045202

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Abstract: (APS)

The structure of dynamically generated states is studied from a viewpoint of the finite-volume effect. We establish the relation between the mean distance between constituents inside a stable bound state and the finite-volume mass shift. In a single-channel scattering model, this relation is shown to be valid for a bound state dominated by the two-body molecule component. We generalize this method to the case of a quasibound state with finite width in coupled-channel scattering. We define the real-valued mean distance between constituents inside the resonance in a given closed channel using the response to the finite-volume effect on the channel. Applying this method to physical resonances we find that Λ(1405) and f0(980) are dominated by the K¯N and KK¯ scattering states, respectively, and that the distance between K¯N (KK¯) inside Λ(1405) [f0(980)] is 1.7–1.9fm (2.6–3.0fm). The root-mean-squared radii of Λ(1405) and f0(980) are also estimated from the mean distance between constituents.

11.80.Gw
14.20.-c
14.40.-n
11.30.Rd
finite size: effect
bound state: stability
Lambda(1405)
f0(980)
coupled channel
bound state

References(38)

Figures(3)

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