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Nature of \(\varvec{S}\)-wave \(\varvec{NN}\) interaction and dibaryon production at nucleonic resonance thresholds

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Abstract

Phase shifts and inelasticity parameters for NN scattering in the partial-wave channels \({}^3S_1\)–\({}^3D_1\) and \({}^1S_0\) at energies \(T_\mathrm{lab}\) from zero to about 1 GeV are described within a unified NN potential model assuming the formation of isoscalar and isovector dibaryon resonances near the \(NN^*(1440)\) threshold. Evidence for these near-threshold resonances is actually found in the recent WASA experiments on single- and double-pion production in NN collisions. There, the excitation of the Roper resonance \(N^*(1440)\) exhibits a structure in the energy dependence of the total cross section which corresponds to the formation of dibaryon states with \(I(J^\pi )=0(1^+)\) and \(1(0^+)\) at the \(NN^*(1440)\) threshold. These two S-wave dibaryon resonances may provide new insight into the nature of the strong NN interaction at low and intermediate energies.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: No new experimental data have been listed in the paper.]

Notes

  1. For the coupled spin-triplet channels \(^3S_1\)–\({}^3D_1\), we use a bit lower cutoff parameter \(\varLambda _{\pi NN}=0.62\) GeV (instead of 0.65 GeV employed in Ref. [21]) which allows for a better fit of the \({}^3D_1\) phase shift.

  2. In the quark shell-model language, the \(N^*(1440)\) structure corresponds to the mixture of the 3q configurations 0s–\((1p)^2\) and \((0s)^2\)–2s, both carrying the \(2\hbar \omega \) excitation.

  3. In particular, a resonance state in the NN channel may have a noticeable overlap with the state \(|\phi _0\rangle \). The detailed study of this formalism will be published elsewhere.

  4. The difference between the resonance parameters found here for the \(^1S_0\) channel from the preliminary ones obtained in Ref. [20] is due to the use of the finite \(\lambda _0\) in the orthogonalizing potential \(V_\mathrm{orth}\).

  5. Here the partial amplitude A is defined as \(A=({S_L-1})/{2i}\), where \(S_L\) is the S-matrix for the given orbital angular momentum L.

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Acknowledgements

We are indebted to L. Alvarez-Ruso for using his code and to I.T. Obukhovsky for fruitful discussions of the microscopic quark model. The work has been supported by DFG (grants CL 214/3-2 and 3-3) and the Russian Foundation for Basic Research, Grants nos. 19-02-00011 and 19-02-00014. M.N.P. also appreciates support from the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS”.

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Authors and Affiliations

  1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Leninskie Gory 1/2, 119991, Moscow, Russia

    V. I. Kukulin, O. A. Rubtsova, M. N. Platonova & V. N. Pomerantsev

  2. Physics Institute and Kepler Center for Astro and Particle Physics, Eberhard-Karls-University Tübingen, Auf der Morgenstelle 14, 72076, Tübingen, Germany

    H. Clement & T. Skorodko

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  1. V. I. Kukulin
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  2. O. A. Rubtsova
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  3. M. N. Platonova
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  4. V. N. Pomerantsev
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  5. H. Clement
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  6. T. Skorodko
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Correspondence to V. N. Pomerantsev.

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Communicated by Vittorio Somá

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Kukulin, V.I., Rubtsova, O.A., Platonova, M.N. et al. Nature of \(\varvec{S}\)-wave \(\varvec{NN}\) interaction and dibaryon production at nucleonic resonance thresholds. Eur. Phys. J. A 56, 229 (2020). https://doi.org/10.1140/epja/s10050-020-00236-3

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