Onset of η-nuclear binding in a pionless EFT approach

N. Barnea; B. Bazak; E. Friedman; A. Gal

doi:10.1016/j.physletb.2017.05.066

Onset of η-nuclear binding in a pionless EFT approach

N. Barnea, B. Bazak, E. Friedman, A. Gal^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

ηNNN and ηNNNN bound states are explored in stochastic variational method (SVM) calculations within a pionless effective field theory (EFT) approach at leading order. The theoretical input consists of regulated NN and NNN contact terms, and a regulated energy dependent ηN contact term derived from coupled-channel models of the N^⁎(1535) nucleon resonance. A self consistency procedure is applied to deal with the energy dependence of the ηN subthreshold input, resulting in a weak dependence of the calculated η-nuclear binding energies on the EFT regulator. It is found, in terms of the ηN scattering length a_ηN, that the onset of binding η ³He requires a minimal value of Rea_ηN close to 1 fm, yielding then a few MeV η binding in η ⁴He. The onset of binding η ⁴He requires a lower value of Rea_ηN, but exceeding 0.7 fm.

Original language	American English
Pages (from-to)	297-302
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	771
DOIs	https://doi.org/10.1016/j.physletb.2017.05.066
State	Published - 10 Aug 2017

Bibliographical note

Funding Information:
We thank Jiří Mareš and Martin Schaefer for useful discussions on related matters. This work was supported in part (NB) by the Israel Science Foundation grant 1308/16, in part (NB, BB) by Pazi Fund grants, and in part (EF, AG) by the EU initiative FP7, Hadron-Physics3, under the SPHERE and LEANNIS cooperation programs.

Publisher Copyright:
© 2017 The Author(s)

Keywords

Few-body systems
Mesic nuclei
π̸EFT calculations

Access to Document

10.1016/j.physletb.2017.05.066

Cite this

@article{8e3cbfcd5cb746b9a8c340612ee5daf6,

title = "Onset of η-nuclear binding in a pionless EFT approach",

abstract = "ηNNN and ηNNNN bound states are explored in stochastic variational method (SVM) calculations within a pionless effective field theory (EFT) approach at leading order. The theoretical input consists of regulated NN and NNN contact terms, and a regulated energy dependent ηN contact term derived from coupled-channel models of the N⁎(1535) nucleon resonance. A self consistency procedure is applied to deal with the energy dependence of the ηN subthreshold input, resulting in a weak dependence of the calculated η-nuclear binding energies on the EFT regulator. It is found, in terms of the ηN scattering length aηN, that the onset of binding η 3He requires a minimal value of ReaηN close to 1 fm, yielding then a few MeV η binding in η 4He. The onset of binding η 4He requires a lower value of ReaηN, but exceeding 0.7 fm.",

keywords = "Few-body systems, Mesic nuclei, π̸EFT calculations",

author = "N. Barnea and B. Bazak and E. Friedman and A. Gal",

note = "Funding Information: We thank Ji{\v r}{\'i} Mare{\v s} and Martin Schaefer for useful discussions on related matters. This work was supported in part (NB) by the Israel Science Foundation grant 1308/16, in part (NB, BB) by Pazi Fund grants, and in part (EF, AG) by the EU initiative FP7, Hadron-Physics3, under the SPHERE and LEANNIS cooperation programs. Publisher Copyright: {\textcopyright} 2017 The Author(s)",

year = "2017",

month = aug,

day = "10",

doi = "10.1016/j.physletb.2017.05.066",

language = "American English",

volume = "771",

pages = "297--302",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

}

TY - JOUR

T1 - Onset of η-nuclear binding in a pionless EFT approach

AU - Barnea, N.

AU - Bazak, B.

AU - Friedman, E.

AU - Gal, A.

N1 - Funding Information: We thank Jiří Mareš and Martin Schaefer for useful discussions on related matters. This work was supported in part (NB) by the Israel Science Foundation grant 1308/16, in part (NB, BB) by Pazi Fund grants, and in part (EF, AG) by the EU initiative FP7, Hadron-Physics3, under the SPHERE and LEANNIS cooperation programs. Publisher Copyright: © 2017 The Author(s)

PY - 2017/8/10

Y1 - 2017/8/10

N2 - ηNNN and ηNNNN bound states are explored in stochastic variational method (SVM) calculations within a pionless effective field theory (EFT) approach at leading order. The theoretical input consists of regulated NN and NNN contact terms, and a regulated energy dependent ηN contact term derived from coupled-channel models of the N⁎(1535) nucleon resonance. A self consistency procedure is applied to deal with the energy dependence of the ηN subthreshold input, resulting in a weak dependence of the calculated η-nuclear binding energies on the EFT regulator. It is found, in terms of the ηN scattering length aηN, that the onset of binding η 3He requires a minimal value of ReaηN close to 1 fm, yielding then a few MeV η binding in η 4He. The onset of binding η 4He requires a lower value of ReaηN, but exceeding 0.7 fm.

AB - ηNNN and ηNNNN bound states are explored in stochastic variational method (SVM) calculations within a pionless effective field theory (EFT) approach at leading order. The theoretical input consists of regulated NN and NNN contact terms, and a regulated energy dependent ηN contact term derived from coupled-channel models of the N⁎(1535) nucleon resonance. A self consistency procedure is applied to deal with the energy dependence of the ηN subthreshold input, resulting in a weak dependence of the calculated η-nuclear binding energies on the EFT regulator. It is found, in terms of the ηN scattering length aηN, that the onset of binding η 3He requires a minimal value of ReaηN close to 1 fm, yielding then a few MeV η binding in η 4He. The onset of binding η 4He requires a lower value of ReaηN, but exceeding 0.7 fm.

KW - Few-body systems

KW - Mesic nuclei

KW - π̸EFT calculations

UR - http://www.scopus.com/inward/record.url?scp=85020060351&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2017.05.066

DO - 10.1016/j.physletb.2017.05.066

M3 - Article

AN - SCOPUS:85020060351

SN - 0370-2693

VL - 771

SP - 297

EP - 302

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -

Onset of η-nuclear binding in a pionless EFT approach

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this