Nucleon-anti-nucleon intruder state of Dirac equation for nucleon in deep scalar potential well

作者：Kuo, T. T. S.; Kuo, T. K.; Osnes, E.; Shu, S.

来源：International Journal of Modern Physics E-Nuclear Physics, 2017, 26(1-2): 1740013.

DOI：10.1142/S0218301317400134

• Half-nucleon intruder state
• Dirac equation for nucleon in scalar Woods-Saxon
• potential well

We solve the Dirac radial equation for a nucleon in a scalar Woods-Saxon potential well of depth V-0 and radius r(0). A sequence of values for the depth and radius are considered. For shallow potentials with -1000MeV less than or similar to V-0 < 0 the wave functions for the positive-energy states Psi+(r) are dominated by their nucleon component g(r). But for deeper potentials with V-0 less than or similar to -1500MeV the Psi+(r) s begin to have dominant antinucleon component f(r). In particular, a special intruder state enters with wave function Psi(1/2)(r) and energy E-1/2. We have considered several r(0) values between 2 and 8 fm. For V-0 less than or similar to -2000MeV and the above r(0) values,Psi(1/2) is the only bound positive-energy state and has its g(r) closely equal to -f(r), both having a narrow wave packet shape centered around r(0). The E-1/2 of this state is practically independent of V-0 for the above V-0 range and obeys closely the relation E-1/2 = hc/r(0)

• 出版日期2017-1
• 单位湖北大学