170 likes | 265 Views
What are universal features of gravitating Q-balls?. Takashi Tamaki( Nihon University ). with Nobuyuki Sakai (Yamagata University). Introduction. Q-balls:a kind of nontopological solitons consist of scalar fields. Self-gravity may not be important?. Kaup, PR172, 1331 (1968). flat ×
E N D
What are universal features of gravitating Q-balls? Takashi Tamaki(Nihon University) withNobuyuki Sakai (Yamagata University) • Introduction Q-balls:a kind of nontopological solitonsconsist of scalar fields Self-gravity may not be important? Kaup, PR172, 1331 (1968) flat × with self-gravity ○ (mini-boson star)
gravity-mediation type in the Affleck-Dine (AD) mechanism ○ ○ flat gravity ○ ``Q-balls” surrounded by Q-matter × TT, N. Sakai, PRD83, 084046 (2011) Here, gauge-mediation type seek for universal features!! TT, N. Sakai, PRD84, 044054 (2011)
II. Model normalization
III. flat case Particle motion in trivial
Thick-wall solution Thin-wall solution
IV. gravitating case Particle motion in Signature of depends on r. depends on ``time”.
Thick-wall Thin-wall
Thick-wall Thin-wall changes ``quickly”. For various ?
strong gravity WHY ??? weak gravity
V. thick-wall case take up to first order in h,f. weak gravity Let us evaluate Evaluate from We used Maclaurin expansion and neglected For For We should compare with
and weak gravity We assume for C=const. and approximating substitute into
V. conclusion Gravitating Q-balls The thick-wall limit is completely different from the flat case. exists !! From the analytic estimation, our results hold for general potentials if a positive mass term is a leading order.
important quantities Total energy (Hamiltonian) Basic equations
サイズの議論 mini-BS 1/mの半径GM~1/m BS の相互作用項の存在が本質的 e.g., Λ大 GM~1/m_re m(neutron) 程度 M=M(太陽)