The pion cut and the negative-energy behaviour of neutron–proton effective-range functions near threshold

We study the effect of the pion cut on the negative-energy effective-range parameters of the 3S1 3D1 neutronproton interaction. Utilizing an approach involving one-pion-exchange potentials truncated at large distances, we demonstrate that the mixing parameter at negative energies between zero and the deuteron energy is practically independent of presence or absence of the pion cut. At the same time, the analysis gives some interesting insight into the behaviour of the mixing parameter and other effective-range functions at more negative energies. This work complements our earlier result that the positive-energy mixing parameter is independent of the pioncut. PACS Nos.: 0.3.80+r, 11.55Bq, 13.75C, 21.30-x

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Extrapolation of scattering data to the negative-energy region. II. Applicability of effective range functions within an exactly solvable model

Physical Review C ◽

10.1103/physrevc.97.024602 ◽

2018 ◽

Vol 97 (2) ◽

Cited By ~ 9

Author(s):

L. D. Blokhintsev ◽

A. S. Kadyrov ◽

A. M. Mukhamedzhanov ◽

D. A. Savin

Keyword(s):

Energy Region ◽

Solvable Model ◽

Negative Energy ◽

Effective Range ◽

Scattering Data ◽

Exactly Solvable Model ◽

Exactly Solvable ◽

Region Ii

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Compositeness of hadron resonances in chiral dynamics

International Journal of Modern Physics E ◽

10.1142/s0218301314610035 ◽

2014 ◽

Vol 23 (07) ◽

pp. 1461003 ◽

Cited By ~ 1

Author(s):

Tetsuo Hyodo

Keyword(s):

Renormalization Constant ◽

Effective Range ◽

S Wave ◽

Independent Manner ◽

Range Parameter ◽

Model Independent ◽

Threshold Resonances ◽

Field Renormalization ◽

Near Threshold ◽

Hadronic States

Recent experimental observations of many unconventional hadronic states stimulate an interest in the structure of hadrons. While various internal configurations have been proposed, it is a subtle problem to identify the structure of hadron resonances in a model independent manner. Here we discuss the composite/elementary nature of hadrons using the field renormalization constant Z. In particular, we show that the magnitude of the effective range parameter re is related to the structure of s-wave near-threshold resonances.

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Effective-Range-Expansion Study of Near Threshold Heavy-Flavor Resonances

Advances in High Energy Physics ◽

10.1155/2019/4651908 ◽

2019 ◽

Vol 2019 ◽

pp. 1-6

Author(s):

Rui Gao ◽

Zhi-Hui Guo ◽

Xian-Wei Kang ◽

J. A. Oller

Keyword(s):

Scattering Amplitudes ◽

Range Expansion ◽

Wave Scattering ◽

Expansion Method ◽

Effective Range ◽

Heavy Flavor ◽

Effective Range Expansion ◽

Scattering Lengths ◽

Near Threshold

In this work, we study the resonances near the thresholds of the open heavy-flavor hadrons using the effective-range-expansion method. The unitarity, analyticity, and compositeness coefficient are also taken into account in our theoretical formalism. We consider the Zc(3900), X(4020), χc1(4140), ψ(4260), and ψ(4660). The scattering lengths and effective ranges from the relevant elastic S-wave scattering amplitudes are determined. Tentative discussions on the inner structures of the aforementioned resonances are given.

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Hearing in Mice via GSR Audiometry

Journal of Speech and Hearing Research ◽

10.1044/jshr.0604.359 ◽

1963 ◽

Vol 6 (4) ◽

pp. 359-368 ◽

Cited By ~ 34

Author(s):

Charles I. Berlin

Keyword(s):

Inverse Relationship ◽

Sound Pressure ◽

Single Units ◽

Sensitivity Curve ◽

Basic Tool ◽

Eighth Nerve ◽

Pure Tones ◽

Conditioned Responses ◽

Frequency Intensity ◽

Near Threshold

Hearing in mice has been difficult to measure behaviorally. With GSR as the basic tool, the sensitivity curve to pure tones in mice has been successfully outlined. The most sensitive frequency-intensity combination was 15 000 cps at 0-5 dB re: 0.0002 dyne/cm 2 , with responses noted from 1 000 to beyond 70 000 cps. Some problems of reliability of conditioning were encountered, as well as findings concerning the inverse relationship between the size of GSR to unattenuated tones and the sound pressure necessary to elicit conditioned responses at or near threshold. These data agree well with the sensitivity of single units of the eighth nerve of the mouse.

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