Quantum field theoretic model of metastable resonant spin–singlet state of the np pair

The np pair in the spin–singlet state is treated as a Cooper np–pair within the extension of the Nambu–Jona–Lasinio model of light nuclei, describing the deuteron as a Cooper np–pair in the spin–triplet state. For the Cooper np–pair in the spin– singlet state we compute the binding energy and express the S–wave scattering length of np scattering in the spin–singlet state in terms of the binding energy. The theoretical value of the S–wave scattering length of np scattering agrees well with the experimental data. PACS: 11.10.Ef, 21.10.Dr, 21.30.Fe, 25.70.Ef E–mail: [email protected], Tel.: +43–1–58801–14261, Fax: +43–1–58801–14299 Permanent Address: State Polytechnic University, Department of Nuclear Physics, 195251 St. Petersburg, Russian Federation E–mail: [email protected] E–mail: [email protected], Tel.: +43–1–58801–14261, Fax: +43–1–58801–14299 E–mail: [email protected] E–mail: [email protected], State Polytechnic University, Department of Nuclear Physics, 195251 St. Petersburg, Russian Federation E–mail: [email protected] State Polytechnic University, Department of Nuclear Physics, 195251 St. Petersburg, Russian Federation E–mail: [email protected]