Pauli Blocking Effect on Efimov States near a Feshbach Resonance

We review the recent approach to model the hadronic and nuclear matter equations of state using the induced surface tension concept, which allows one to go far beyond the usual Van der Waals approximation. Since the obtained equations of state, classical and quantum, are among the most successful ones in describing the properties of low density phases of strongly interacting matter, they set strong restrictions on the possible value of the hard-core radius of nucleons, which is widely used in phenomenological equations of state. We summarize the latest results obtained within this novel approach and perform a new detailed analysis of the hard-core radius of nucleons, which follows from hadronic and nuclear matter properties. Such an analysis allows us to find the most trustworthy range of its values: the hard-core radius of nucleons is 0.3–0.36 fm. A comparison with the phenomenology of neutron stars implies that the hard-core radius of nucleons has to be temperature and density dependent. Such a finding is supported when the eigenvolume of composite particles like hadrons originates from their fermionic substructure due to the Pauli blocking effect.

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Pauli Blocking Effect Within the Relativistic Pion Gas

Acta Physica Polonica B Proceedings Supplement ◽

10.5506/aphyspolbsupp.10.903 ◽

2017 ◽

Vol 10 (3) ◽

pp. 903 ◽

Cited By ~ 1

Author(s):

A. Dubinin ◽

D. Blaschke ◽

A. Friesen ◽

L. Turko

Keyword(s):

Blocking Effect ◽

Pauli Blocking

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Neutrinoless Double-Beta Decay and Realistic Shell Model

EPJ Web of Conferences ◽

10.1051/epjconf/201922301025 ◽

2019 ◽

Vol 223 ◽

pp. 01025 ◽

Cited By ~ 1

Author(s):

Nunzio Itaco ◽

Luigi Coraggio ◽

Riccardo Mancino

Keyword(s):

Shell Model ◽

Neutrinoless Double Beta Decay ◽

Nuclear Matrix Element ◽

Blocking Effect ◽

Double Beta Decay ◽

Many Body ◽

Effective Operator ◽

Pauli Blocking ◽

Model Hamiltonian ◽

Many Body Perturbation Theory

We report on the calculation of the neutrinoless double-ß decay nuclear matrix element for 76Ge within the framework of the realistic shell model. The effective shell-model Hamiltonian and the two-body transition operator describing the decay are derived by way of many-body perturbation theory. Particular attention is focused on the role played by the so-called Pauli blocking effect in the derivation of the effective operator.

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Efimov states near a Feshbach resonance and the limits of van der Waals universality at finite background scattering length

Physical Review A ◽

10.1103/physreva.97.033623 ◽

2018 ◽

Vol 97 (3) ◽

Cited By ~ 8

Author(s):

Christian Langmack ◽

Richard Schmidt ◽

Wilhelm Zwerger

Keyword(s):

Feshbach Resonance ◽

Scattering Length ◽

Van Der Waals ◽

Efimov States

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Pauli-blocking effect in a clusterized 3n-quark system

Physics Letters B ◽

10.1016/0370-2693(86)90565-4 ◽

1986 ◽

Vol 179 (3) ◽

pp. 197-200 ◽

Cited By ~ 17

Author(s):

S. Takeuchi ◽

K. Shimizu

Keyword(s):

Blocking Effect ◽

Pauli Blocking ◽

Quark System

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NONLOCALITY IN THE QUARK-MODEL INDUCED TWO-BARYON POTENTIAL

Modern Physics Letters A ◽

10.1142/s0217732303010144 ◽

2003 ◽

Vol 18 (02n06) ◽

pp. 147-150

Author(s):

SACHIKO TAKEUCHI ◽

KIYOTAKA SHIMIZU

Keyword(s):

Cluster Model ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Blocking Effect ◽

Kinetic Term ◽

Nonlocal Potential ◽

Pauli Blocking ◽

Incoming Wave ◽

The One ◽

Equivalent Local Potential

Roles of the nonlocality in the two-baryon potential derived from the quark cluster model, especially in the one from the quark Pauli-blocking effect on the kinetic term, is investigated by employing the inverse scattering problem. This effect can be understood by changing the degrees of the mixing between the incoming wave and the 0ℓ state of the inter-baryon-cluster wave function; which can be expressed by a baryon potential with high nonlocality. We look into the properties of this nonlocal potential by comparing it to the on-shell equivalent local potential. Their off-shell behaviors are very different from each other in the channels where the Pauli-blocking effect is large. The off-shell behavior of the nonlocal potential, however, seems to be simulated well when we keep the nonlocality of the potential between the 0s state and the other states.

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Short-range and tensor correlations in $^{4}$He and $^{8}$Be studied with the antisymmetrized quasi-cluster model

Progress of Theoretical and Experimental Physics ◽

10.1093/ptep/ptz046 ◽

2019 ◽

Vol 2019 (6) ◽

Author(s):

N Itagaki ◽

H Matsuno ◽

Y Kanada-En’yo

Keyword(s):

Cluster Model ◽

Short Range ◽

Decisive Role ◽

Blocking Effect ◽

Repulsive Core ◽

Pauli Blocking ◽

Tensor Correlation ◽

Coherent Effects ◽

Middle Range ◽

Tensor Part

Abstract We apply the tensor version of the antisymmetrized quasi-cluster model (AQCM-T) to $^4\textrm{He}$ and $^8\textrm{Be}$ while focusing on the $NN$ correlations in $\alpha$ clusters. We adopt the $NN$ interactions including realistic ones containing a repulsive core for the central part in addition to the tensor part. In $^4\textrm{He}$, the $pn$ pair in the $^3D$ channel has been known to play a decisive role in the tensor correlation and the framework is capable of treating not only this channel but also the $NN$ correlations in the $^1S$ and $^3S$ channels. In $^8\textrm{Be}$, when two $\alpha$ clusters approach, the $^3D$ pair is suppressed because of the Pauli blocking effect, which also induces a decrease in the $^3S$ component through the $^3S$–$^3D$ coupling. These coherent effects result in the reduction of the attractive effect of the central-even interaction in the middle-range region and keep the distance between two $\alpha$ clusters.

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